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Katagiri K, Pikuz T, Fang L, Albertazzi B, Egashira S, Inubushi Y, Kamimura G, Kodama R, Koenig M, Kozioziemski B, Masaoka G, Miyanishi K, Nakamura H, Ota M, Rigon G, Sakawa Y, Sano T, Schoofs F, Smith ZJ, Sueda K, Togashi T, Vinci T, Wang Y, Yabashi M, Yabuuchi T, Dresselhaus-Marais LE, Ozaki N. Transonic dislocation propagation in diamond. Science 2023; 382:69-72. [PMID: 37796999 DOI: 10.1126/science.adh5563] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/11/2023] [Accepted: 08/16/2023] [Indexed: 10/07/2023]
Abstract
The motion of line defects (dislocations) has been studied for more than 60 years, but the maximum speed at which they can move is unresolved. Recent models and atomistic simulations predict the existence of a limiting velocity of dislocation motion between the transonic and subsonic ranges at which the self-energy of dislocation diverges, though they do not deny the possibility of the transonic dislocations. We used femtosecond x-ray radiography to track ultrafast dislocation motion in shock-compressed single-crystal diamond. By visualizing stacking faults extending faster than the slowest sound wave speed of diamond, we show the evidence of partial dislocations at their leading edge moving transonically. Understanding the upper limit of dislocation mobility in crystals is essential to accurately model, predict, and control the mechanical properties of materials under extreme conditions.
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Affiliation(s)
- Kento Katagiri
- Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
- Institute of Laser Engineering, Osaka University, Suita, 565-0871, Japan
- Department of Materials Science & Engineering, Stanford University, Stanford, CA 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
- PULSE Institute, Stanford University, Stanford, CA 94305, USA
| | - Tatiana Pikuz
- Institute for Open and Transdisciplinary Research in Initiatives, Osaka University, Suita, 565-0871, Japan
| | - Lichao Fang
- Department of Materials Science & Engineering, Stanford University, Stanford, CA 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
- PULSE Institute, Stanford University, Stanford, CA 94305, USA
| | - Bruno Albertazzi
- LULI, CNRS, CEA, Ecole Polytechnique, UPMC, Univ Paris 06: Sorbonne Universites, Institut Polytechnique de Paris, Palaiseau, F-91128, France
| | - Shunsuke Egashira
- Institute of Laser Engineering, Osaka University, Suita, 565-0871, Japan
| | - Yuichi Inubushi
- Japan Synchrotron Radiation Research Institute, Sayo, 679-5198, Japan
- RIKEN SPring-8 Center, Sayo, 679-5148, Japan
| | - Genki Kamimura
- Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
| | - Ryosuke Kodama
- Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
- Institute of Laser Engineering, Osaka University, Suita, 565-0871, Japan
- Institute for Open and Transdisciplinary Research in Initiatives, Osaka University, Suita, 565-0871, Japan
| | - Michel Koenig
- Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
- LULI, CNRS, CEA, Ecole Polytechnique, UPMC, Univ Paris 06: Sorbonne Universites, Institut Polytechnique de Paris, Palaiseau, F-91128, France
| | | | - Gooru Masaoka
- Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
| | | | - Hirotaka Nakamura
- Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
| | - Masato Ota
- Institute of Laser Engineering, Osaka University, Suita, 565-0871, Japan
| | - Gabriel Rigon
- Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
| | - Youichi Sakawa
- Institute of Laser Engineering, Osaka University, Suita, 565-0871, Japan
| | - Takayoshi Sano
- Institute of Laser Engineering, Osaka University, Suita, 565-0871, Japan
| | - Frank Schoofs
- United Kingdom Atomic Energy Authority, Culham Science Centre, Abingdon OX14 3DB, UK
| | - Zoe J Smith
- Department of Applied Physics, Stanford University, Stanford, CA 94305, USA
| | | | - Tadashi Togashi
- Japan Synchrotron Radiation Research Institute, Sayo, 679-5198, Japan
- RIKEN SPring-8 Center, Sayo, 679-5148, Japan
| | - Tommaso Vinci
- LULI, CNRS, CEA, Ecole Polytechnique, UPMC, Univ Paris 06: Sorbonne Universites, Institut Polytechnique de Paris, Palaiseau, F-91128, France
| | - Yifan Wang
- Department of Materials Science & Engineering, Stanford University, Stanford, CA 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
- PULSE Institute, Stanford University, Stanford, CA 94305, USA
| | - Makina Yabashi
- Japan Synchrotron Radiation Research Institute, Sayo, 679-5198, Japan
- RIKEN SPring-8 Center, Sayo, 679-5148, Japan
| | - Toshinori Yabuuchi
- Japan Synchrotron Radiation Research Institute, Sayo, 679-5198, Japan
- RIKEN SPring-8 Center, Sayo, 679-5148, Japan
| | - Leora E Dresselhaus-Marais
- Department of Materials Science & Engineering, Stanford University, Stanford, CA 94305, USA
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
- PULSE Institute, Stanford University, Stanford, CA 94305, USA
| | - Norimasa Ozaki
- Graduate School of Engineering, Osaka University, Suita, 565-0871, Japan
- Institute of Laser Engineering, Osaka University, Suita, 565-0871, Japan
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2
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Wang M, Shi S, Fineberg J. Tensile cracks can shatter classical speed limits. Science 2023; 381:415-419. [PMID: 37499022 DOI: 10.1126/science.adg7693] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/19/2023] [Accepted: 06/02/2023] [Indexed: 07/29/2023]
Abstract
Brittle materials fail by means of rapid cracks. Classical fracture mechanics describes the motion of tensile cracks that dissipate released elastic energy within a point-like zone at their tips. Within this framework, a "classical" tensile crack cannot exceed the Rayleigh wave speed, [Formula: see text]. Using brittle neo-hookean materials, we experimentally demonstrate the existence of "supershear" tensile cracks that exceed shear wave speeds, [Formula: see text]. Supershear cracks smoothly accelerate beyond [Formula: see text], to speeds that could approach dilatation wave speeds. Supershear dynamics are governed by different principles than those guiding "classical" cracks; this fracture mode is excited at critical (material dependent) applied strains. This nonclassical mode of tensile fracture represents a fundamental shift in our understanding of the fracture process.
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Affiliation(s)
- Meng Wang
- Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
| | - Songlin Shi
- Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
| | - Jay Fineberg
- Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
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3
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Dong P, Xia K, Xu Y, Elsworth D, Ampuero JP. Laboratory earthquakes decipher control and stability of rupture speeds. Nat Commun 2023; 14:2427. [PMID: 37105963 PMCID: PMC10140064 DOI: 10.1038/s41467-023-38137-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/01/2022] [Accepted: 04/12/2023] [Indexed: 04/29/2023] Open
Abstract
Earthquakes are destructive natural hazards with damage capacity dictated by rupture speeds. Traditional dynamic rupture models predict that earthquake ruptures gradually accelerate to the Rayleigh wave speed with some of them further jumping to stable supershear speeds above the Eshelby speed (~[Formula: see text] times S wave speed). However, the 2018 Mw 7.5 Palu earthquake, among several others, significantly challenges such a viewpoint. Here we generate spontaneous shear ruptures on laboratory faults to confirm that ruptures can indeed attain steady subRayleigh or supershear propagation speeds immediately following nucleation. A self-similar analysis of dynamic rupture confirms our observation, leading to a simple model where the rupture speed is uniquely dependent on a driving load. Our results reproduce and explain a number of enigmatic field observations on earthquake speeds, including the existence of stable subEshelby supershear ruptures, early onset of supershear ruptures, and the correlation between the rupture speed and the driving load.
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Affiliation(s)
- Peng Dong
- Institute of Geosafety, School of Engineering and Technology, China University of Geosciences, Beijing, 100083, China
| | - Kaiwen Xia
- Institute of Geosafety, School of Engineering and Technology, China University of Geosciences, Beijing, 100083, China.
- Department of Civil and Mineral Engineering, University of Toronto, Toronto, ON, M5S 1A4, Canada.
- State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin University, Tianjin, 300072, China.
| | - Ying Xu
- State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin University, Tianjin, 300072, China
| | - Derek Elsworth
- Energy and Mineral Engineering & Geosciences, G3 Center and EMS Energy Institute, Pennsylvania State University, University Park, PA, 16802, USA
| | - Jean-Paul Ampuero
- Géoazur, Université Côte d'Azur, IRD, CNRS, Observatoire de la Côte d'Azur; 250 rue Albert Einstein, 14 Sophia Antipolis, 06560, Valbonne, France
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4
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Pampillón P, Santillán D, Mosquera JC, Cueto-Felgueroso L. The role of pore fluids in supershear earthquake ruptures. Sci Rep 2023; 13:398. [PMID: 36624113 PMCID: PMC9829726 DOI: 10.1038/s41598-022-27159-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/10/2021] [Accepted: 12/27/2022] [Indexed: 01/11/2023] Open
Abstract
The intensity and damage potential of earthquakes are linked to the speed at which rupture propagates along sliding crustal faults. Most earthquakes are sub-Rayleigh, with ruptures that are slower than the surface Rayleigh waves. In supershear earthquakes, ruptures are faster than the shear waves, leading to sharp pressure concentrations and larger intensities compared with the more common sub-Rayleigh ones. Despite significant theoretical and experimental advances over the past two decades, the geological and geomechanical controls on rupture speed transitions remain poorly understood. Here we propose that pore fluids play an important role in explaining earthquake rupture speed: the pore pressure may increase sharply at the compressional front during rupture propagation, promoting shear failure ahead of the rupture front and accelerating its propagation into the supershear range. We characterize the transition from sub-Rayleigh to supershear rupture in fluid-saturated rock, and show that the proposed poroelastic weakening mechanism may be a controlling factor for intersonic earthquake ruptures.
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Affiliation(s)
- Pedro Pampillón
- Department of Civil Engineering: Hydraulics, Energy and Environment, Universidad Politécnica de Madrid, Madrid, Spain
| | - David Santillán
- Department of Civil Engineering: Hydraulics, Energy and Environment, Universidad Politécnica de Madrid, Madrid, Spain
| | - Juan C Mosquera
- Department of Continuum Mechanics and Theory of Structures, Universidad Politécnica de Madrid, Madrid, Spain
| | - Luis Cueto-Felgueroso
- Department of Civil Engineering: Hydraulics, Energy and Environment, Universidad Politécnica de Madrid, Madrid, Spain.
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Influence of source directivity and site effects of 2003 Tokachi-oki earthquake on the generation of high PGA in the near-fault zones. Sci Rep 2022; 12:12134. [PMID: 35840632 PMCID: PMC9287307 DOI: 10.1038/s41598-022-16085-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/14/2021] [Accepted: 07/04/2022] [Indexed: 11/22/2022] Open
Abstract
We study source directivity and site effects of 2003 Tokachi-oki earthquake (Japan, Mw ~ 8.3) and their influence on the distribution of peak ground accelerations (PGA) in the near-fault zones are studied. Based on records of KiK-net vertical arrays, models of soil behavior are constructed, i.e. vertical distributions of stresses and strains induced in soil layers by strong motion. We use the method of Pavlenko and Irikura (2003), previously applied for studying soil behavior during 1995 Kobe, 2000 Tottori, and 2011 Tohoku earthquakes. During the Tokachi-oki earthquake, we did not find a widespread nonlinearity of soft soil behavior. Manifestations of soil nonlinearity were observed at sites closest to the source; at remote sites where high PGA were recorded, soil behavior was virtually linear, and shear moduli in soils increased till the moments of the highest intensity of motion, then decreased. The shapes of acceleration time histories at remote sites indicate directivity effects: seismic waves radiated by the crack tip during its propagation along a section of the fault plane came to the stations simultaneously. Soil hardening occurred at these sites that increased amplification and PGA on the surface. Similar effects were observed during 2011 Tohoku earthquake; evidently, they can occur during future strong earthquakes.
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Wang W, He J, Wang X, Zhou Y, Hao J, Zhao L, Yao Z. Rupture process models of the Yangbi and Maduo earthquakes that struck the eastern Tibetan Plateau in May 2021. Sci Bull (Beijing) 2022; 67:466-469. [PMID: 36546165 DOI: 10.1016/j.scib.2021.11.009] [Citation(s) in RCA: 6] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/24/2021] [Revised: 10/28/2021] [Accepted: 10/29/2021] [Indexed: 01/06/2023]
Affiliation(s)
- Weimin Wang
- State Key Laboratory of Tibetan Plateau Earth System, Resources and Environment, Institute of Tibetan Plateau Research, Chinese Academy of Sciences, Beijing 100101, China.
| | - Jiankun He
- State Key Laboratory of Tibetan Plateau Earth System, Resources and Environment, Institute of Tibetan Plateau Research, Chinese Academy of Sciences, Beijing 100101, China
| | - Xun Wang
- Institute of Earthquake Forecasting, China Earthquake Administration, Beijing 100036, China
| | - Yun Zhou
- Institute of Geophysics, China Earthquake Administration, Beijing 100081, China
| | - Jinlai Hao
- Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
| | - Lianfeng Zhao
- Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
| | - Zhenxing Yao
- Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
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7
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Jara J, Bruhat L, Thomas MY, Antoine SL, Okubo K, Rougier E, Rosakis AJ, Sammis CG, Klinger Y, Jolivet R, Bhat HS. Signature of transition to supershear rupture speed in the coseismic off-fault damage zone. Proc Math Phys Eng Sci 2021; 477:20210364. [PMID: 35153594 PMCID: PMC8595990 DOI: 10.1098/rspa.2021.0364] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/03/2021] [Accepted: 10/21/2021] [Indexed: 11/17/2022] Open
Abstract
Most earthquake ruptures propagate at speeds below the shear wave velocity within the crust, but in some rare cases, ruptures reach supershear speeds. The physics underlying the transition of natural subshear earthquakes to supershear ones is currently not fully understood. Most observational studies of supershear earthquakes have focused on determining which fault segments sustain fully grown supershear ruptures. Experimentally cross-validated numerical models have identified some of the key ingredients required to trigger a transition to supershear speed. However, the conditions for such a transition in nature are still unclear, including the precise location of this transition. In this work, we provide theoretical and numerical insights to identify the precise location of such a transition in nature. We use fracture mechanics arguments with multiple numerical models to identify the signature of supershear transition in coseismic off-fault damage. We then cross-validate this signature with high-resolution observations of fault zone width and early aftershock distributions. We confirm that the location of the transition from subshear to supershear speed is characterized by a decrease in the width of the coseismic off-fault damage zone. We thus help refine the precise location of such a transition for natural supershear earthquakes.
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Affiliation(s)
- Jorge Jara
- Laboratoire de Géologie, Département de Géosciences, École Normale Supérieure, CNRS, UMR 8538, PSL Université, Paris, France
| | - Lucile Bruhat
- Laboratoire de Géologie, Département de Géosciences, École Normale Supérieure, CNRS, UMR 8538, PSL Université, Paris, France
| | - Marion Y. Thomas
- Institut des Sciences de la Terre de Paris, Sorbonne Université, CNRS, UMR 7193, Paris, France
| | - Solène L. Antoine
- Université de Paris, Institut de Physique du Globe de Paris, CNRS, Paris 75005, France
| | - Kurama Okubo
- National Research Institute for Earth Science and Disaster Resilience, 3-1 Tennnodai, Tsukuba, Ibaraki 305-0006, Japan
| | - Esteban Rougier
- EES-17–Earth and Environmental Sciences Division, Los Alamos National Laboratory, Los Alamos, NM, USA
| | - Ares J. Rosakis
- Graduate Aerospace Laboratories, California Institute of Technology, Pasadena, CA 91125, USA
| | - Charles G. Sammis
- Department of Earth Sciences, University of Southern California, Los Angeles, CA 90089, USA
| | - Yann Klinger
- Université de Paris, Institut de Physique du Globe de Paris, CNRS, Paris 75005, France
| | - Romain Jolivet
- Laboratoire de Géologie, Département de Géosciences, École Normale Supérieure, CNRS, UMR 8538, PSL Université, Paris, France
- Institut Universitaire de France, 1 rue Descartes, Paris 75005, France
| | - Harsha S. Bhat
- Laboratoire de Géologie, Département de Géosciences, École Normale Supérieure, CNRS, UMR 8538, PSL Université, Paris, France
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Features of soil behavior in the near-fault zones during the 2011 Tohoku mega-thrust earthquake Mw 9. Sci Rep 2020; 10:8717. [PMID: 32457506 PMCID: PMC7250923 DOI: 10.1038/s41598-020-65629-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/24/2019] [Accepted: 05/06/2020] [Indexed: 11/08/2022] Open
Abstract
AbstractSoil behavior is studied during the Tohoku earthquake, where abnormally high accelerations > 1 g were recorded. Based on vertical array records, models of soil behavior are constructed at 28 sites in northern Honshu (Tohoku region). They are compared with previously studied models of soil behavior in southern Tohoku and Kanto regions, where shock waves were identified as possible causes of the recorded high accelerations. Shear moduli did not reduce during strong motion at many sites, and the behavior of softer and denser soils was similar to a large extent. The nonlinearity of soil response during the Tohoku earthquake was weaker than that observed earlier during the 1995 Kobe and 2000 Tottori earthquakes (Mw ~6.7–6.8). Instead, a widespread soil hardening was found, most expressed at stations recorded the highest PGAs. To explain the observed features of soil behavior, two possible mechanisms are suggested, such as, 1) shock wave fronts generated by rupture propagation along the fault plane induce soil hardening and high PGAs; 2) soil compaction and hardening is a soil response to long-lasting dynamic loadings during the earthquake. Most likely we may expect similar effects of soil hardening and generation of high PGAs during other mega-thrust earthquakes in future.
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9
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Passelègue FX, Almakari M, Dublanchet P, Barras F, Fortin J, Violay M. Initial effective stress controls the nature of earthquakes. Nat Commun 2020; 11:5132. [PMID: 33046700 PMCID: PMC7552404 DOI: 10.1038/s41467-020-18937-0] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/10/2020] [Accepted: 09/11/2020] [Indexed: 11/09/2022] Open
Abstract
Modern geophysics highlights that the slip behaviour response of faults is variable in space and time and can result in slow or fast ruptures. However, the origin of this variation of the rupture velocity in nature as well as the physics behind it is still debated. Here, we first highlight how the different types of fault slip observed in nature appear to stem from the same physical mechanism. Second, we reproduce at the scale of the laboratory the complete spectrum of rupture velocities observed in nature. Our results show that the rupture velocity can range from a few millimetres to kilometres per second, depending on the available energy at the onset of slip, in agreement with theoretical predictions. This combined set of observations bring a new explanation of the dominance of slow rupture fronts in the shallow part of the crust or in areas suspected to present large fluid pressure.
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Affiliation(s)
- François X Passelègue
- Laboratoire de Mécanique des Roches, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland.
| | - Michelle Almakari
- Centre de Géosciences, MINES ParisTECH, PSL Research University, Fontainebleau, France
| | - Pierre Dublanchet
- Centre de Géosciences, MINES ParisTECH, PSL Research University, Fontainebleau, France
| | - Fabian Barras
- The Njord Centre for Studies of the Physics of the Earth, University of Oslo, 0371, Oslo, Norway
| | - Jérôme Fortin
- École Normale Supérieure, UMR8538, 24 rue Lhomond, 75005, Paris, France
| | - Marie Violay
- Laboratoire de Mécanique des Roches, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
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The 2018 Mw 7.5 Palu Earthquake: A Supershear Rupture Event Constrained by InSAR and Broadband Regional Seismograms. REMOTE SENSING 2019. [DOI: 10.3390/rs11111330] [Citation(s) in RCA: 35] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
The 28 September 2018 Mw 7.5 Palu earthquake occurred at a triple junction zone where the Philippine Sea, Australian, and Sunda plates are convergent. Here, we utilized Advanced Land Observing Satellite-2 (ALOS-2) interferometry synthetic aperture radar (InSAR) data together with broadband regional seismograms to investigate the source geometry and rupture kinematics of this earthquake. Results showed that the 2018 Palu earthquake ruptured a fault plane with a relatively steep dip angle of ~85°. The preferred rupture model demonstrated that the earthquake was a supershear event from early on, with an average rupture speed of 4.1 km/s, which is different from the common supershear events that typically show an initial subshear rupture. The rupture expanded rapidly (~4.1 km/s) from the hypocenter and propagated bilaterally towards the north and south along the strike direction during the first 8 s, and then to the south. Four visible asperities were ruptured during the slip pulse propagation, which resulted in four significant deformation lobes in the coseismic interferogram. The maximum slip of 6.5 m was observed to the south of the city of Palu, and the total seismic moment released within 40 s was 2.64 × 1020 N·m, which was equivalent to Mw 7.55. Our results shed some light on the transtensional tectonism in Sulawesi, given that the 2018 Palu earthquake was dominated by left-lateral strike slip (slip maxima is 6.2 m) and that some significant normal faulting components (slip maxima is ~3 m) were resolved as well.
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11
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Grigoriev A, Shilko E. Influence of fracture incubation time on dynamic crack propagation in brittle solids. EPJ WEB OF CONFERENCES 2019. [DOI: 10.1051/epjconf/201922101013] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The paper is devoted to theoretical study of the longitudinal shear (mode II) crack unstable growth dynamics in brittle materials. We considered two main regimes of the dynamic propagation of the crack (sub-Rayleigh and supershear) and their implementation conditions. The research was carried out by computer simulation with the Movable Cellular Automaton method, using the generalized kinetic fracture model, which takes into account the finite duration of local fracture (fracture incubation time). It is shown that the fracture incubation time is a key parameter, which determines the transition conditions of the shear crack growth process from the sub-Rayleigh regime to supershear.
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12
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Spatiotemporal Evolution of Postseismic Deformation Following the 2001 Mw7.8 Kokoxili, China, Earthquake from 7 Years of Insar Observations. REMOTE SENSING 2018. [DOI: 10.3390/rs10121988] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
The 2001 Mw7.8 Kokoxili earthquake, which occurred in the north Tibetan Plateau, ruptured ~400 km of the westernmost portion of the Kunlun fault and produced significant time-dependent postseismic deformation over a large area around the rupture zone and nearby regions. To analyze the postseismic deformation features along different sections of the coseismic surface rupture, we describe the total cumulative postseismic deformation near the center of the rupture and produce velocity maps for the whole observation period and six sub-periods, using InSAR observations (ENVISAT/ASAR, 2003–2010) on five descending tracks. The results indicate that the postseismic deformation is asymmetrically distributed across the fault over a very broad area of ~300 km × 500 km. The south side of the fault exhibits larger displacements and a wider area of deformation that is steadily decaying from near-field to far-field, while the north side displays a narrow, rapidly diminishing deformation field. The maximum cumulative displacement in 2003–2010 reaches up to ~45–60 mm and the LOS peak-to-trough average velocity offset in 2003–2010 reaches ~13–16 mm/yr at ~92.5°E. The short-term postseismic velocity estimates in the six sub-periods reflect significant spatial variation and temporal differences on different sections. Motions to the south of the two ends of the rupture zone show more rapid velocity decay compared to near the main central rupture zone. The time- and distance-dependent timeseries of postseismic surface displacement reveal exponential decay in the near-field and a nearly linear trend in the far-field of the fault.
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13
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Pressure shock fronts formed by ultra-fast shear cracks in viscoelastic materials. Nat Commun 2018; 9:4754. [PMID: 30420595 PMCID: PMC6232150 DOI: 10.1038/s41467-018-07139-4] [Citation(s) in RCA: 16] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/31/2018] [Accepted: 10/15/2018] [Indexed: 11/20/2022] Open
Abstract
Spontaneously propagating cracks in solids emit both pressure and shear waves. When a shear crack propagates faster than the shear wave speed of the material, the coalescence of the shear wavelets emitted by the near-crack-tip region forms a shock front that significantly concentrates particle motion. Such a shock front should not be possible for pressure waves, because cracks should not be able to exceed the pressure wave speed in isotropic linear-elastic solids. In this study, we present full-field experimental measurements of dynamic shear cracks in viscoelastic polymers that result in the formation of a pressure shock front, in addition to the shear one. The apparent violation of classic theories is explained by the strain-rate-dependent material behavior of polymers, where the crack speed remains below the highest pressure wave speed prevailing locally around the crack tip. These findings have important implications for the physics and dynamics of shear cracks such as earthquakes. Propagating shear cracks in solids emit both shear and pressure waves, but it is usually thought that only shear waves coalesce to form shock fronts when the crack exceeds the shear wave speed. Here, the authors show that local material stiffening can further increase rupture speed and produce pressure shock fronts that hint at supersonic propagation.
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14
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Kammer DS, Svetlizky I, Cohen G, Fineberg J. The equation of motion for supershear frictional rupture fronts. SCIENCE ADVANCES 2018; 4:eaat5622. [PMID: 30035229 PMCID: PMC6051736 DOI: 10.1126/sciadv.aat5622] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/12/2018] [Accepted: 06/05/2018] [Indexed: 05/30/2023]
Abstract
The rupture fronts that mediate the onset of frictional sliding may propagate at speeds below the Rayleigh wave speed or may surpass the shear wave speed and approach the longitudinal wave speed. While the conditions for the transition from sub-Rayleigh to supershear propagation have been studied extensively, little is known about what dictates supershear rupture speeds and how the interplay between the stresses that drive propagation and interface properties that resist motion affects them. By combining laboratory experiments and numerical simulations that reflect natural earthquakes, we find that supershear rupture propagation speeds can be predicted and described by a fracture mechanics-based equation of motion. This equation of motion quantitatively predicts rupture speeds, with the velocity selection dictated by the interface properties and stress. Our results reveal a critical rupture length, analogous to Griffith's length for sub-Rayleigh cracks, below which supershear propagation is impossible. Above this critical length, supershear ruptures can exist, once excited, even for extremely low preexisting stress levels. These results significantly improve our fundamental understanding of what governs the speed of supershear earthquakes, with direct and important implications for interpreting their unique supershear seismic radiation patterns.
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Affiliation(s)
- David S. Kammer
- School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14850, USA
| | - Ilya Svetlizky
- Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
| | - Gil Cohen
- Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
| | - Jay Fineberg
- Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
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Monroy F. Surface hydrodynamics of viscoelastic fluids and soft solids: Surfing bulk rheology on capillary and Rayleigh waves. Adv Colloid Interface Sci 2017; 247:4-22. [PMID: 28735885 DOI: 10.1016/j.cis.2017.07.006] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/01/2017] [Revised: 07/09/2017] [Accepted: 07/09/2017] [Indexed: 11/18/2022]
Abstract
From the recent advent of the new soft-micro technologies, the hydrodynamic theory of surface modes propagating on viscoelastic bodies has reinvigorated this field of technology with interesting predictions and new possible applications, so recovering its scientific interest very limited at birth to the academic scope. Today, a myriad of soft small objects, deformable meso- and micro-structures, and macroscopically viscoelastic bodies fabricated from colloids and polymers are already available in the materials catalogue. Thus, one can envisage a constellation of new soft objects fabricated by-design with a functional dynamics based on the mechanical interplay of the viscoelastic material with the medium through their interfaces. In this review, we recapitulate the field from its birth and theoretical foundation in the latest 1980s up today, through its flourishing in the 90s from the prediction of extraordinary Rayleigh modes in coexistence with ordinary capillary waves on the surface of viscoelastic fluids, a fact first confirmed in experiments by Dominique Langevin and me with soft gels [Monroy and Langevin, Phys. Rev. Lett. 81, 3167 (1998)]. With this observational discovery at sight, we not only settled the theory previously formulated a few years before, but mainly opened a new field of applications with soft materials where the mechanical interplay between surface and bulk motions matters. Also, new unpublished results from surface wave experiments performed with soft colloids are reported in this contribution, in which the analytic methods of wave surfing synthetized together with the concept of coexisting capillary-shear modes are claimed as an integrated tool to insightfully scrutinize the bulk rheology of soft solids and viscoelastic fluids. This dedicatory to the figure of Dominique Langevin includes an appraisal of the relevant theoretical aspects of the surface hydrodynamics of viscoelastic fluids, and the coverage of the most important experimental results obtained during the three decades of research on this field.
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Affiliation(s)
- Francisco Monroy
- Departamento de Química Física I, Facultad de Química, Universidad Complutense de Madrid, E28040 Madrid, Spain; Unit of Traslational Biophysics, Instituto de Investigación Sanitaria Hospital 12 de Octubre (imas12), E28041 Madrid, Spain.
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UENISHI K. Rupture, waves and earthquakes. PROCEEDINGS OF THE JAPAN ACADEMY. SERIES B, PHYSICAL AND BIOLOGICAL SCIENCES 2017; 93:28-49. [PMID: 28077808 PMCID: PMC5406623 DOI: 10.2183/pjab.93.003] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 09/23/2016] [Accepted: 11/15/2016] [Indexed: 06/06/2023]
Abstract
Normally, an earthquake is considered as a phenomenon of wave energy radiation by rupture (fracture) of solid Earth. However, the physics of dynamic process around seismic sources, which may play a crucial role in the occurrence of earthquakes and generation of strong waves, has not been fully understood yet. Instead, much of former investigation in seismology evaluated earthquake characteristics in terms of kinematics that does not directly treat such dynamic aspects and usually excludes the influence of high-frequency wave components over 1 Hz. There are countless valuable research outcomes obtained through this kinematics-based approach, but "extraordinary" phenomena that are difficult to be explained by this conventional description have been found, for instance, on the occasion of the 1995 Hyogo-ken Nanbu, Japan, earthquake, and more detailed study on rupture and wave dynamics, namely, possible mechanical characteristics of (1) rupture development around seismic sources, (2) earthquake-induced structural failures and (3) wave interaction that connects rupture (1) and failures (2), would be indispensable.
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Affiliation(s)
- Koji UENISHI
- School of Engineering, The University of Tokyo, Tokyo, Japan
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17
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Properties of the shear stress peak radiated ahead of rapidly accelerating rupture fronts that mediate frictional slip. Proc Natl Acad Sci U S A 2016; 113:542-7. [PMID: 26729877 DOI: 10.1073/pnas.1517545113] [Citation(s) in RCA: 37] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
We study rapidly accelerating rupture fronts at the onset of frictional motion by performing high-temporal-resolution measurements of both the real contact area and the strain fields surrounding the propagating rupture tip. We observe large-amplitude and localized shear stress peaks that precede rupture fronts and propagate at the shear-wave speed. These localized stress waves, which retain a well-defined form, are initiated during the rapid rupture acceleration phase. They transport considerable energy and are capable of nucleating a secondary supershear rupture. The amplitude of these localized waves roughly scales with the dynamic stress drop and does not decrease as long as the rupture front driving it continues to propagate. Only upon rupture arrest does decay initiate, although the stress wave both continues to propagate and retains its characteristic form. These experimental results are qualitatively described by a self-similar model: a simplified analytical solution of a suddenly expanding shear crack. Quantitative agreement with experiment is provided by realistic finite-element simulations that demonstrate that the radiated stress waves are strongly focused in the direction of the rupture front propagation and describe both their amplitude growth and spatial scaling. Our results demonstrate the extensive applicability of brittle fracture theory to fundamental understanding of friction. Implications for earthquake dynamics are discussed.
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Amundsen DS, Trømborg JK, Thøgersen K, Katzav E, Malthe-Sørenssen A, Scheibert J. Steady-state propagation speed of rupture fronts along one-dimensional frictional interfaces. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 92:032406. [PMID: 26465481 DOI: 10.1103/physreve.92.032406] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/26/2015] [Indexed: 06/05/2023]
Abstract
The rupture of dry frictional interfaces occurs through the propagation of fronts breaking the contacts at the interface. Recent experiments have shown that the velocities of these rupture fronts range from quasistatic velocities proportional to the external loading rate to velocities larger than the shear wave speed. The way system parameters influence front speed is still poorly understood. Here we study steady-state rupture propagation in a one-dimensional (1D) spring-block model of an extended frictional interface for various friction laws. With the classical Amontons-Coulomb friction law, we derive a closed-form expression for the steady-state rupture velocity as a function of the interfacial shear stress just prior to rupture. We then consider an additional shear stiffness of the interface and show that the softer the interface, the slower the rupture fronts. We provide an approximate closed form expression for this effect. We finally show that adding a bulk viscosity on the relative motion of blocks accelerates steady-state rupture fronts and we give an approximate expression for this effect. We demonstrate that the 1D results are qualitatively valid in 2D. Our results provide insights into the qualitative role of various key parameters of a frictional interface on its rupture dynamics. They will be useful to better understand the many systems in which spring-block models have proved adequate, from friction to granular matter and earthquake dynamics.
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Affiliation(s)
- David Skålid Amundsen
- Astrophysics Group, School of Physics, University of Exeter, Exeter EX4 4QL, United Kingdom
| | - Jørgen Kjoshagen Trømborg
- Department of Physics, University of Oslo, Sem Sælands vei 24, NO-0316, Oslo, Norway
- Laboratoire de Tribologie et Dynamique des Systèmes, CNRS, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully, France
| | - Kjetil Thøgersen
- Department of Physics, University of Oslo, Sem Sælands vei 24, NO-0316, Oslo, Norway
| | - Eytan Katzav
- Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
| | | | - Julien Scheibert
- Laboratoire de Tribologie et Dynamique des Systèmes, CNRS, Ecole Centrale de Lyon, 36 Avenue Guy de Collongue, 69134 Ecully, France
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Supershear Earthquake Ruptures – Theory, Methods, Laboratory Experiments and Fault Superhighways: An Update. PERSPECTIVES ON EUROPEAN EARTHQUAKE ENGINEERING AND SEISMOLOGY 2015. [DOI: 10.1007/978-3-319-16964-4_1] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/03/2022]
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Zhan Z, Helmberger DV, Kanamori H, Shearer PM. Earthquake dynamics. Supershear rupture in a M(w) 6.7 aftershock of the 2013 Sea of Okhotsk earthquake. Science 2014; 345:204-7. [PMID: 25013073 DOI: 10.1126/science.1252717] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Earthquake rupture speeds exceeding the shear-wave velocity have been reported for several shallow strike-slip events. Whether supershear rupture also can occur in deep earthquakes is unclear, because of their enigmatic faulting mechanism. Using empirical Green's functions in both regional and teleseismic waveforms, we observed supershear rupture during the 2013 moment magnitude (M(w)) 6.7 deep earthquake beneath the Sea of Okhotsk, an aftershock of the large deep earthquake (M(w) 8.3). The M(w) 6.7 event ruptured downward along a steeply dipping fault plane at an average speed of 8 kilometers per second, suggesting efficient seismic energy generation. Comparing it to the highly dissipative 1994 M(w) 8.3 Bolivia earthquake, the two events represent end members of deep earthquakes in terms of energy partitioning and imply that there is more than one rupture mechanism for deep earthquakes.
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Affiliation(s)
- Zhongwen Zhan
- Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography, University of California, San Diego, La Jolla, CA 92093-0225, USA. Seismological Laboratory, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USA.
| | - Donald V Helmberger
- Seismological Laboratory, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USA
| | - Hiroo Kanamori
- Seismological Laboratory, California Institute of Technology, 1200 East California Boulevard, Pasadena, CA 91125, USA
| | - Peter M Shearer
- Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography, University of California, San Diego, La Jolla, CA 92093-0225, USA
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Passelègue FX, Schubnel A, Nielsen S, Bhat HS, Madariaga R. From sub-Rayleigh to supershear ruptures during stick-slip experiments on crustal rocks. Science 2013; 340:1208-11. [PMID: 23744944 DOI: 10.1126/science.1235637] [Citation(s) in RCA: 33] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
Supershear earthquake ruptures propagate faster than the shear wave velocity. Although there is evidence that this occurs in nature, it has not been experimentally demonstrated with the use of crustal rocks. We performed stick-slip experiments with Westerly granite under controlled upper-crustal stress conditions. Supershear ruptures systematically occur when the normal stress exceeds 43 megapascals (MPa) with resulting stress drops on the order of 3 to 25 MPa, comparable to the stress drops inferred by seismology for crustal earthquakes. In our experiments, the sub-Rayleigh-to-supershear transition length is a few centimeters at most, suggesting that the rupture of asperities along a fault may propagate locally at supershear velocities. In turn, these sudden accelerations and decelerations could play an important role in the generation of high-frequency radiation and the overall rupture-energy budget.
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Le Goff A, Cobelli P, Lagubeau G. Supershear Rayleigh waves at a soft interface. PHYSICAL REVIEW LETTERS 2013; 110:236101. [PMID: 25167515 DOI: 10.1103/physrevlett.110.236101] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/05/2013] [Revised: 02/22/2013] [Indexed: 05/10/2023]
Abstract
We report on the experimental observation of waves at a liquid foam surface propagating faster than the bulk shear waves. The existence of such waves has long been debated, but the recent observation of supershear events in a geophysical context has inspired us to search for their existence in a model viscoelastic system. An optimized fast profilometry technique allows us to observe on a liquid foam surface the waves triggered by the impact of a projectile. At high impact velocity, we show that the expected subshear Rayleigh waves are accompanied by faster surface waves that can be identified as supershear Rayleigh waves.
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Affiliation(s)
- Anne Le Goff
- Microfluidique, MEMs et Nanostructures, UMR Gulliver 7083, ESPCI, 75005 Paris, France
| | - Pablo Cobelli
- Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires and IFIBA, CONICET, Ciudad Universitaria, 1428 Buenos Aires, Argentina and Physique et Mécanique des Milieux Hétérogènes PMMH, UMR CNRS 7636, ESPCI, UMPC Université Paris 6, UPD Université Paris 7, Paris, France
| | - Guillaume Lagubeau
- Physique et Mécanique des Milieux Hétérogènes PMMH, UMR CNRS 7636, ESPCI, UMPC Université Paris 6, UPD Université Paris 7, Paris, France and Departamento de Física, Universidad de Santiago de Chile, Santiago, Chile
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Affiliation(s)
- Oded Ben-David
- Racah Institute of Physics, the Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel
| | - Gil Cohen
- Racah Institute of Physics, the Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel
| | - Jay Fineberg
- Racah Institute of Physics, the Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel
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Bizzarri A, Dunham EM, Spudich P. Coherence of Mach fronts during heterogeneous supershear earthquake rupture propagation: Simulations and comparison with observations. ACTA ACUST UNITED AC 2010. [DOI: 10.1029/2009jb006819] [Citation(s) in RCA: 39] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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25
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Cesca S, Heimann S, Stammler K, Dahm T. Automated procedure for point and kinematic source inversion at regional distances. ACTA ACUST UNITED AC 2010. [DOI: 10.1029/2009jb006450] [Citation(s) in RCA: 58] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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26
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Daub EG, Manning ML, Carlson JM. Pulse-like, crack-like, and supershear earthquake ruptures with shear strain localization. ACTA ACUST UNITED AC 2010. [DOI: 10.1029/2009jb006388] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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27
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Faran E, Shilo D. Twin motion faster than the speed of sound. PHYSICAL REVIEW LETTERS 2010; 104:155501. [PMID: 20481997 DOI: 10.1103/physrevlett.104.155501] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/31/2009] [Indexed: 05/29/2023]
Abstract
Twin growth is commonly thought to be bounded by the velocity of shear waves C(T) at which the information about this mechanical process travels in the material. Here, we report on experimental evidence of twin growth faster than the material's speed of sound. Driven by an electric field, needle twins in a ferroelectric crystal grew at intersonic speed, with an estimated average velocity close to square root(2) C(T). These results strengthen recent theoretical indications of intersonic dislocation motion, and contribute to the understanding of several twin motion-related processes.
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Affiliation(s)
- Eilon Faran
- Department of Mechanical Engineering, Technion, Haifa 32000, Israel
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Walker KT, Shearer PM. Illuminating the near-sonic rupture velocities of the intracontinental KokoxiliMw7.8 and Denali faultMw7.9 strike-slip earthquakes with global P wave back projection imaging. ACTA ACUST UNITED AC 2009. [DOI: 10.1029/2008jb005738] [Citation(s) in RCA: 68] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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29
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Allmann BP, Shearer PM. Global variations of stress drop for moderate to large earthquakes. ACTA ACUST UNITED AC 2009. [DOI: 10.1029/2008jb005821] [Citation(s) in RCA: 441] [Impact Index Per Article: 29.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Bettina P. Allmann
- Cecil H. and Ida M. Green Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography; University of California, San Diego; La Jolla California USA
| | - Peter M. Shearer
- Cecil H. and Ida M. Green Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography; University of California, San Diego; La Jolla California USA
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Dunham EM, Bhat HS. Attenuation of radiated ground motion and stresses from three-dimensional supershear ruptures. ACTA ACUST UNITED AC 2008. [DOI: 10.1029/2007jb005182] [Citation(s) in RCA: 69] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Eric M. Dunham
- Department of Earth and Planetary Sciences and School of Engineering and Applied Sciences; Harvard University; Cambridge Massachusetts USA
| | - Harsha S. Bhat
- Department of Earth Sciences; University of Southern California; Los Angeles California USA
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Vallée M, Landès M, Shapiro NM, Klinger Y. The 14 November 2001 Kokoxili (Tibet) earthquake: High-frequency seismic radiation originating from the transitions between sub-Rayleigh and supershear rupture velocity regimes. ACTA ACUST UNITED AC 2008. [DOI: 10.1029/2007jb005520] [Citation(s) in RCA: 52] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Wibberley CAJ, Yielding G, Di Toro G. Recent advances in the understanding of fault zone internal structure: a review. ACTA ACUST UNITED AC 2008. [DOI: 10.1144/sp299.2] [Citation(s) in RCA: 189] [Impact Index Per Article: 11.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/04/2022]
Abstract
AbstractIt is increasingly apparent that faults are typically not discrete planes but zones of deformed rock with a complex internal structure and three-dimensional geometry. In the last decade this has led to renewed interest in the consequences of this complexity for modelling the impact of fault zones on fluid flow and mechanical behaviour of the Earth's crust. A number of processes operate during the development of fault zones, both internally and in the surrounding host rock, which may encourage or inhibit continuing fault zone growth. The complexity of the evolution of a faulted system requires changes in the rheological properties of both the fault zone and the surrounding host rock volume, both of which impact on how the fault zone evolves with increasing displacement. Models of the permeability structure of fault zones emphasize the presence of two types of fault rock components: fractured conduits parallel to the fault and granular core zone barriers to flow. New data presented in this paper on porosity–permeability relationships of fault rocks during laboratory deformation tests support recently advancing concepts which have extended these models to show that poro-mechanical approaches (e.g., critical state soil mechanics, fracture dilatancy) may be applied to predict the fluid flow behaviour of complex fault zones during the active life of the fault. Predicting the three-dimensional heterogeneity of fault zone internal structure is important in the hydrocarbon industry for evaluating the retention capacity of faults in exploration contexts and the hydraulic behaviour in production contexts. Across-fault reservoir juxtaposition or non-juxtaposition, a key property in predicting retention or across-fault leakage, is strongly controlled by the three-dimensional complexity of the fault zone. Although algorithms such as shale gouge ratio greatly help predict capillary threshold pressures, quantification of the statistical variation in fault zone composition will allow estimations of uncertainty in fault retention capacity and hence prospect reserve estimations. Permeability structure in the fault zone is an important issue because bulk fluid flow rates through or along a fault zone are dependent on permeability variations, anisotropy and tortuosity of flow paths. A possible way forward is to compare numerical flow models using statistical variations of permeability in a complex fault zone in a given sandstone/shale context with field-scale estimates of fault zone permeability. Fault zone internal structure is equally important in understanding the seismogenic behaviour of faults. Both geometric and compositional complexities can control the nucleation, propagation and arrest of earthquakes. The presence and complex distribution of different fault zone materials of contrasting velocity-weakening and velocity-strengthening properties is an important factor in controlling earthquake nucleation and whether a fault slips seismogenically or creeps steadily, as illustrated by recent studies of the San Andreas Fault. A synthesis of laboratory experiments presented in this paper shows that fault zone materials which become stronger with increasing slip rate, typically then get weaker as slip rate continues to increase to seismogenic slip rates. Thus the probability that a nucleating rupture can propagate sufficiently to generate a large earthquake depends upon its success in propagating fast enough through these materials in order to give them the required velocity kick. This propagation success is hence controlled by the relative and absolute size distributions of velocity-weakening and velocity-strengthening rocks within the fault zone. Statistical characterisation of the distribution of such contrasting properties within complex fault zones may allow for better predictive models of rupture propagation in the future and provide an additional approach to earthquake size forecasting and early warnings.
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Affiliation(s)
- Christopher A. J. Wibberley
- Géosciences Azur, CNRS UMR6526, Université de Nice – Sophia Antipolis, 250 rue A. Einstein, 06560 Valbonne, France
- Present address: TOTAL, CSTJF, Av. Larribau, 64018 Pau, France (e-mail: )
| | - Graham Yielding
- Badley Geoscience Ltd, North Beck House, North Beck Lane, Hundleby, Lincolnshire PE23 5NB, UK
| | - Giulio Di Toro
- Università di Padova, Dipartimento di Geoscienze, Via Giotto 1, 35137 Padova, Italy
- Istituto Nazionale di Geofisica e Vulcanologia, Via di Vigna Murata 605, Roma, Italy
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Bizzarri A, Spudich P. Effects of supershear rupture speed on the high-frequency content ofSwaves investigated using spontaneous dynamic rupture models and isochrone theory. ACTA ACUST UNITED AC 2008. [DOI: 10.1029/2007jb005146] [Citation(s) in RCA: 33] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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Pulse-like and crack-like ruptures in experiments mimicking crustal earthquakes. Proc Natl Acad Sci U S A 2007; 104:18931-6. [PMID: 18025479 DOI: 10.1073/pnas.0704268104] [Citation(s) in RCA: 61] [Impact Index Per Article: 3.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Theoretical studies have shown that the issue of rupture modes has important implications for fault constitutive laws, stress conditions on faults, energy partition and heat generation during earthquakes, scaling laws, and spatiotemporal complexity of fault slip. Early theoretical models treated earthquakes as crack-like ruptures, but seismic inversions indicate that earthquake ruptures may propagate in a self-healing pulse-like mode. A number of explanations for the existence of slip pulses have been proposed and continue to be vigorously debated. This study presents experimental observations of spontaneous pulse-like ruptures in a homogeneous linear-elastic setting that mimics crustal earthquakes; reveals how different rupture modes are selected based on the level of fault prestress; demonstrates that both rupture modes can transition to supershear speeds; and advocates, based on comparison with theoretical studies, the importance of velocity-weakening friction for earthquake dynamics.
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Affiliation(s)
- Shamita Das
- Department of Earth Sciences, University of Oxford, Parks Road, Oxford OX1 3PR, UK.
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38
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Dunham EM. Conditions governing the occurrence of supershear ruptures under slip-weakening friction. ACTA ACUST UNITED AC 2007. [DOI: 10.1029/2006jb004717] [Citation(s) in RCA: 124] [Impact Index Per Article: 7.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Bhat HS, Dmowska R, King GCP, Klinger Y, Rice JR. Off-fault damage patterns due to supershear ruptures with application to the 2001Mw8.1 Kokoxili (Kunlun) Tibet earthquake. ACTA ACUST UNITED AC 2007. [DOI: 10.1029/2006jb004425] [Citation(s) in RCA: 68] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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40
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Robinson DP, Brough C, Das S. TheMw7.8, 2001 Kunlunshan earthquake: Extreme rupture speed variability and effect of fault geometry. ACTA ACUST UNITED AC 2006. [DOI: 10.1029/2005jb004137] [Citation(s) in RCA: 53] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Xia K, Rosakis AJ, Kanamori H, Rice JR. Laboratory earthquakes along inhomogeneous faults: directionality and supershear. Science 2005; 308:681-4. [PMID: 15860624 DOI: 10.1126/science.1108193] [Citation(s) in RCA: 82] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
We report on the experimental observation of spontaneously nucleated ruptures occurring on frictionally held bimaterial interfaces with small amounts of wave speed mismatch. Rupture is always found to be asymmetric bilateral. In one direction, rupture always propagates at the generalized Rayleigh wave speed, whereas in the opposite direction it is subshear or it transitions to supershear. The lack of a preferred rupture direction and the conditions leading to supershear are discussed in relation to existing theory and to the earthquake sequence in Parkfield, California, and in North Anatolia.
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Affiliation(s)
- Kaiwen Xia
- Graduate Aeronautical Laboratories, California Institute of Technology (Caltech), Pasadena, CA 91125, USA
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Lasserre C, Peltzer G, Crampé F, Klinger Y, Van der Woerd J, Tapponnier P. Coseismic deformation of the 2001Mw= 7.8 Kokoxili earthquake in Tibet, measured by synthetic aperture radar interferometry. ACTA ACUST UNITED AC 2005. [DOI: 10.1029/2004jb003500] [Citation(s) in RCA: 119] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Xia K, Rosakis AJ, Kanamori H. Laboratory Earthquakes: The Sub-Rayleigh-to-Supershear Rupture Transition. Science 2004; 303:1859-61. [PMID: 15031503 DOI: 10.1126/science.1094022] [Citation(s) in RCA: 60] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/02/2022]
Abstract
We report on the experimental observation of spontaneously nucleated supershear rupture and on the visualization of sub-Rayleigh-to-supershear rupture transitions in frictionally held interfaces. The laboratory experiments mimic natural earthquakes. The results suggest that under certain conditions supershear rupture propagation can be facilitated during large earthquake events.
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Affiliation(s)
- Kaiwen Xia
- Seismological Laboratory, MC 252-21, California Institute of Technology (Caltech), Pasadena, CA 91125, USA
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