Poro-Elasto-Plastic Off-Fault Response and Dynamics of Earthquake Faulting

Poro-Elasto-Plastic Off-Fault Response and Dynamics of Earthquake Faulting

Author:

Publisher:

Published: 2016

Total Pages: 170

ISBN-13:

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Previous models of earthquake rupture dynamics have neglected interesting deformational properties of fault zone materials. While most current studies involving off-fault inelastic deformation employ simple brittle failure yield criteria such as the Drucker-Prager yield criterion, the material surrounding the fault plane itself, known as fault gouge, has the tendency to deform in a ductile manner accompanied by compaction. We incorporate this behavior into a new constitutive model of undrained fault gouge in a dynamic rupture model. Dynamic compaction of undrained fault gouge occurs ahead of the rupture front. This corresponds to an increase in pore pressure which preweakens the fault, reducing the static friction. Subsequent dilatancy and softening of the gouge causes a reduction in pore pressure, resulting in fault restrengthening and brief slip pulses. This leads to localization of inelastic failure to a narrow shear zone. We extend the undrained gouge model to a study of self-similar rough faults. Extreme compaction and dilatancy occur at restraining and releasing bends, respectively. The consequent elevated pore pressure at restraining bends weakens the fault and allows the rupture to easily pass, while the decrease in pore pressure at releasing bends dynamically strengthens the fault and slows rupture. In comparison to other recent models, we show that the effects of fault roughness on propagation distance, slip distribution, and rupture velocity are diminished or reversed. Next, we represent large subduction zone megathrust earthquakes with a dynamic rupture model of a shallow dipping fault underlying an accretionary wedge. In previous models by our group [Ma, 2012; Ma and Hirakawa, 2013], inelastic deformation of wedge material was shown to enhance vertical uplift and potential tsunamigenesis. Here, we include a shallow region of velocity strengthening friction with a rate-and-state framework. We find that coseismic increase of the basal friction drives further inelastic wedge failure in comparison with our previous models, with the implication of larger tsunami generation.


Effects of Inelastic Off-fault Deformation on the Dynamics of Earthquake Rupture and Branch Fault Activation

Effects of Inelastic Off-fault Deformation on the Dynamics of Earthquake Rupture and Branch Fault Activation

Author: Elizabeth Land Templeton

Publisher:

Published: 2009

Total Pages: 444

ISBN-13:

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We also investigate how inelastic deformation controls the evolution of rupture velocity, branch path selection, and peak ground velocities and accelerations. Because the width of the plastic zone grows with increasing rupture length in a self-similar manner, the energy dissipated by inelastic deformation can limit the rupture velocity and result in self-similar rupture at a constant velocity finitely below the Rayleigh wave speed. Observed earthquake rupture speeds of 0.80 c R - 0.92 c R could be explained by a specific fracture energy with a linear dependence on crack length. When initial stresses are such that a transition to supershear would be possible in an elastic material, the transition to supershear is delayed or even prevented in some cases by inelastic off-fault deformation. Branch activation is more favorable at higher propagation velocities, but off-fault inelastic deformation reduces the likelihood of branch fault activation by slowing rupture velocity. Moderate reductions in radiated horizontal and vertical ground velocity and large reductions in accelerations occur when elastic-plastic off-fault response is incorporated during rupture.


Critical Earthquake Response of Elastic-Plastic Structures and Rigid Blocks under Near-Fault Ground Motions: Closed-Form Approach via Double Impulse

Critical Earthquake Response of Elastic-Plastic Structures and Rigid Blocks under Near-Fault Ground Motions: Closed-Form Approach via Double Impulse

Author: Izuru Takewaki

Publisher: Frontiers Media SA

Published: 2016-05-26

Total Pages: 64

ISBN-13: 2889198707

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This eBook is the second in a series of books on the critical earthquake response of elastic-plastic structures or rigid blocks under near-fault ground motions, and includes four original research papers which were published in the specialty section Earthquake Engineering in ‘Frontiers in Built Environment’. Several extensions of the first book1 are included here. The first article is on the soil-structure interaction problem. The reduction of an original soil-structure interaction model into a single-degree-of-freedom (SDOF) model enables the application of the original theory for an SDOF model to such complicated soil-structure interaction model. The second article is concerned with the extension of the original theory for an SDOF model to a 2DOF model. Since the simple application of the original theory for an SDOF model to a multi-degree-of-freedom model is difficult due to out-of-phase phenomenon of multiple masses, a convex model theory is introduced and an upper bound of elastic-plastic response is derived. The third article is related to the stability problem of structures (collapse problems of structures) in which the P-delta effect is included. It is shown that the original theory for an SDOF model with elastic-perfectly plastic restoring-force characteristic can be applied to a model with negative second slope. The fourth article is an application of the energy balance approach to an overturning limit problem of rigid blocks. A closed-form expression of the overturning limit of rigid blocks is derived for the first time after the Housner’s pioneering work in 1963. The approach presented in this book, together with the first book, is an epoch-making accomplishment to open the door for simpler and deeper understanding of structural reliability of built environments in the elastic-plastic and nonlinear range.


Critical Earthquake Response of Elastic-Plastic Structures Under Near-Fault or Long-Duration Ground Motions: Closed-Form Approach via Impulse Input

Critical Earthquake Response of Elastic-Plastic Structures Under Near-Fault or Long-Duration Ground Motions: Closed-Form Approach via Impulse Input

Author: Izuru Takewaki

Publisher: Frontiers Media SA

Published: 2015-12-22

Total Pages: 57

ISBN-13: 2889197425

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The specialty section Earthquake Engineering is one branch of Frontiers in Built Environment and welcomes critical and in-depth submissions on earthquake ground motions and their effects on buildings and infrastructures. Manuscripts should yield new insights and ultimately contribute to a safer and more reliable design of building structures and infrastructures. The scope includes the characterization of earthquake ground motions (e.g. near-fault, far-fault, short-period, long-period), their underlying properties, their intrinsic relationship with structural responses, and the true behaviors of building structures and infrastructures under risky and uncertain ground motions. More specific topics include recorded ground motions, generated ground motions, response spectra, stochastic modeling of ground motion, critical excitation, geotechnical aspects, soil mechanics, soil liquefaction, soil-structure interactions, pile foundations, earthquake input energy, structural control, passive control, active control, base-isolation, steel structures, reinforced concrete structures, wood structures, building retrofit, structural optimization, uncertainty analysis, robustness analysis, and redundancy analysis. This eBook includes four original research papers, in addition to the Specialty Grand Challenge article, on the critical earthquake response of elastic-plastic structures under near-fault or long-duration ground motions which were published in the specialty section Earthquake Engineering. In the early stage of dynamic nonlinear response analysis of structures around 1960s, a simple hysteretic structural model and a simple sinusoidal earthquake ground motion input were dealt with together with random inputs. The steady-state response was tackled by an equivalent linearization method developed by Caughey, Iwan and others. In fact, the resonance plays a key role in the earthquake-resistant design and it has a strong effect even in case of near-fault ground motions. In order to draw the steady-state response curve and investigate the resonant property, two kinds of repetition have to be introduced. One is a cycle, for one forced input frequency, of the initial guess of the steady-state response amplitude, the construction of the equivalent linear model, the analysis of the steady-state response amplitude using the equivalent linear model and the update of the equivalent linear model based on the computed steady-state response amplitude. The other is the sweeping over a range of forced input frequencies. This process is quite tedious. Four original research papers included in this eBook propose a new approach to overcome this difficulty. Kojima and Takewaki demonstrated that the elastic-plastic response as continuation of free-vibrations under impulse input can be derived in a closed form by a sophisticated energy approach without solving directly the equations of motion as differential equations. While, as pointed out above, the approach based on the equivalent linearization method requires the repetition of application of the linearized equations, the method by Kojima and Takewaki does not need any repetition. The double impulse, triple impulse and multiple impulses enable us to describe directly the critical timing of impulses (resonant frequency) which is not easy for the sinusoidal and other inputs without a repetitive procedure. It is important to note that, while most of the previous methods employ the equivalent linearization of the structural model with the input unchanged, the method treated in this eBook transforms the input into a series of impulses with the structural model unchanged. This characteristic guarantees high accuracy and reliability even in the large plastic deformation range. The approach presented in this eBook is an epoch-making accomplishment to open the door for simpler and deeper understanding of structural reliability of built environments in the elastic-plastic range


Fault Zone Dynamic Processes

Fault Zone Dynamic Processes

Author: Marion Y. Thomas

Publisher: John Wiley & Sons

Published: 2017-06-09

Total Pages: 310

ISBN-13: 1119156912

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Earthquakes are some of the most dynamic features of the Earth. This multidisciplinary volume presents an overview of earthquake processes and properties including the physics of dynamic faulting, fault fabric and mechanics, physical and chemical properties of fault zones, dynamic rupture processes, and numerical modeling of fault zones during seismic rupture. This volume examines questions such as: • What are the dynamic processes recorded in fault gouge? • What can we learn about rupture dynamics from laboratory experiments? • How do on-fault and off-fault properties affect seismic ruptures? • How do fault zones evolve over time? Fault Zone Dynamic Processes: Evolution of Fault Properties During Seismic Rupture is a valuable resource for scientists, researchers and students from across the geosciences interested in the earthquakes processes.


Mechanics of Earthquake Faulting

Mechanics of Earthquake Faulting

Author: A. Bizzarri

Publisher: IOS Press

Published: 2019-07-19

Total Pages: 249

ISBN-13: 1614999791

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The mechanics of earthquake faulting is a multi-disciplinary scientific approach combining laboratory inferences and mathematical models with the analysis of recorded data from earthquakes, and is essential to the understanding of these potentially destructive events. The modern field of study can be said to have begun with the seminal papers by B. V. Kostrov in 1964 and 1966. This book presents lectures delivered at the summer school ‘The Mechanics of Earthquake Faulting’, held under the umbrella of the Enrico Fermi International School of Physics in Varenna, Italy, from 2 to 7 July 2018. The school was attended by speakers and participants from many countries. One of the most important goals of the school was to present the state-of-the-art of the physics of earthquakes, and the 10 lectures included here cover the most challenging aspects of the mechanics of faulting. The topics covered during the school give a very clear picture of the current state of the art of the physics of earthquake ruptures and also highlight the open issues and questions that are still under debate, and the book will be of interest to all those working in the field.


Fault-Zone Properties and Earthquake Rupture Dynamics

Fault-Zone Properties and Earthquake Rupture Dynamics

Author: Eiichi Fukuyama

Publisher: Academic Press

Published: 2009-04-24

Total Pages: 333

ISBN-13: 0080922465

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The dynamics of the earthquake rupture process are closely related to fault zone properties which the authors have intensively investigated by various observations in the field as well as by laboratory experiments. These include geological investigation of the active and fossil faults, physical and chemical features obtained by the laboratory experiments, as well as the seismological estimation from seismic waveforms. Earthquake dynamic rupture can now be modeled using numerical simulations on the basis of field and laboratory observations, which should be very useful for understanding earthquake rupture dynamics. Features: * First overview of new and improved techniques in the study of earthquake faulting * Broad coverage * Full color Benefits: * A must-have for all geophysicists who work on earthquake dynamics * Single resource for all aspects of earthquake dynamics (from lab measurements to seismological observations to numerical modelling) * Bridges the disciplines of seismology, structural geology and rock mechanics * Helps readers to understand and interpret graphs and maps Also has potential use as a supplementary resource for upper division and graduate geophysics courses.


Effect of Fault Roughness on Aftershock Distribution

Effect of Fault Roughness on Aftershock Distribution

Author: Khurram Aslam

Publisher:

Published: 2019

Total Pages: 0

ISBN-13:

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A large earthquake triggers earthquakes on many nearby faults. Most of the triggered earthquakes (i.e. aftershocks) can be explained by the static stress increase in the region where they occur. Some aftershocks also occur in the regions of static stress decrease or stress shadows. The current physical models of aftershock occurrence are not able to explain aftershocks that are observed in stress shadows. The static stress changes, following an earthquake, are calculated using slip that occurs on the main fault. The source inversions, which calculate these slips, are not able to resolve finer scale details of slip due to their coarser spatial resolution. The finer scale details of slip influence finer static stress changes, which plays an important role in the production of smaller aftershocks. These finer details of stresses may be able to better explain the occurrence of aftershocks in stress shadows. In this study, we perform dynamic earthquake rupture simulations of large earthquakes. This modeling resolves the finer scale details of slip based on elasticity and friction and hence has the ability to predict the spatial distribution of slip and stress changes. We perform numerous two dimensional (2D) earthquake rupture simulations on rough strike slip faults assuming elastic and plastic off-fault material properties. We consider many different realizations of a self-affine rough fault profile. We output the static stress changes in the off-fault medium from our simulations and use these to calculate the Coulomb failure function (CFF) in the region surrounding the fault. We use similar and variable orientations for receiver faults planes to calculate CFF values. The similar receiver fault plane orientations are chosen to be parallel to the overall trace of the main fault, while the variable receiver fault orientations are determined using the angle at which plastic shear strain is maximum. Our results show that the stresses are highly complex in the region close to the fault. This complexity reduces as the distance from the fault increases. We conclude that the stress complexity observed in the near-fault region is due to roughness of the fault profile. The complexity of stresses in the near-fault region causes the CFF to be highly heterogeneous in the near-fault region. We observe many positive CFF zones within negative CFF zones in the near-fault region. We believe that these are the potential locations of aftershocks observed in stress shadows. The areas where they appear would be seen as stress shadows in typical static stress change calculations due to insufficient resolution of the fault slip. Furthermore, we observe that the overall trend of the CFF with distance remains similar either assuming elastic or plastic off-fault material properties. In the near-fault region, we observe many more positive CFF zones when we calculate CFF values using variable receiver fault orientations. Our results suggest that the spatial aftershock distribution surrounding a fault is controlled by both stress heterogeneity as well as the co-seismic damage zone complexity. Comparing our model rupture areas of positive CFF zones with rupture areas of aftershocks and preshocks from relocated earthquake catalogs of Northern and Southern California, we conclude that the stresses in the near-fault region are dominated by the fault roughness effects throughout the seismic cycle. We model the inter-seismic period of a complex rupture by running a quasi-static model (LTM) initialized with stresses from dynamic earthquake rupture model. Our results show that the geometrical bends of the fault profile cause the plastic deformation to be localized in the co-seismic phase, which acts as a seed for the development of new shear features in the inter-seismic phase..


Mechanics, Structure and Evolution of Fault Zones

Mechanics, Structure and Evolution of Fault Zones

Author: Yehuda Ben-Zion

Publisher: Springer Science & Business Media

Published: 2009-12-30

Total Pages: 375

ISBN-13: 3034601387

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Considerable progress has been made recently in quantifying geometrical and physical properties of fault surfaces and adjacent fractured and granulated damage zones in active faulting environments. There has also been significant progress in developing rheologies and computational frameworks that can model the dynamics of fault zone processes. This volume provides state-of-the-art theoretical and observational results on the mechanics, structure and evolution of fault zones. Subjects discussed include damage rheologies, development of instabilities, fracture and friction, dynamic rupture experiments, and analyses of earthquake and fault zone data.


Deformation of Compliant Fault Zones Induced by Nearby Earthquakes

Deformation of Compliant Fault Zones Induced by Nearby Earthquakes

Author: Jingqian Kang

Publisher:

Published: 2015

Total Pages:

ISBN-13:

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Using dynamic modeling of earthquake rupture on a strike-slip fault and seismic wave propagation in a three dimensional inhomogeneous elastoplastic medium, I investigate the inelastic response of compliant fault zones to nearby earthquakes. I primarily examine the plastic strain distribution within the fault zone and the displacement field that characterizes the effects of the presence of the fault zone. I find that when the fault zone rocks are close to failure in the prestress field, plastic strain occurs along the entire fault zone near the Earth's surface and some portions of the fault zone in the extensional quadrant at depth, while the remaining portion deforms elastically. Plastic strain enhances the surface displacement of the fault zone, and the enhancement in the extensional quadrant is stronger than that in the compressive quadrant. These findings suggest that taking into account both elastic and inelastic deformation of fault zones to nearby earthquakes may improve our estimations of fault zone structure and properties from small-scale surface deformation signals. Furthermore, identifying the inelastic response of nearby fault zones to large earthquakes may allow us to place some constraints on the absolute stress level in the crust. I also investigate how to distinguish inelastic and elastic responses of compliant fault zones to the nearby rupture. I explore in detail the range of plastic parameters that allow plastic strain to occur and examine its effect on the displacement field around compliant fault zone. I find that the sympathetic motion (i.e., consistent to long-term geologic slip) or the reduced retrograde motion (i.e., opposite to long-term geologic slip) observed in residual displacement on fault parallel horizontal direction can be directly used to distinguish the inelastic deformation from the elastic deformation. This may help better interpret the geodetic observations in the further. In addition, I conduct models with various fault zone geometries (i.e., depth, width and shape) and rigidity reduction properties to test their effects on the displacement field. The results from elastic models suggest that to the same dynamic rupture source, the deeper and wider pre-existing nearby fault zone will result in larger residual displacement. But this only applies to fault zones with large depth extent. For shallow fault zones, residual displacement tends to keep the same magnitude or even decreases with fault zone width. While in plastic models, where plastic strain is allowed, displacement field is more complex. The magnitude of the residual displacement will be enhanced by the occurrence of plastic strain. Then I extend the theoretical simulations of an idealized planar rupture fault system into one in a geometrically complex real fault system in the East California Shear Zone (ECSZ). I compare our simulation results of the 1992 Landers Earthquake with the geodetic observations. Responses of the Calico and Rodman compliant fault zone are better understood by taking into account of both inelastic and elastic responses of compliant fault zones to the nearby Landers rupture. The electronic version of this dissertation is accessible from http://hdl.handle.net/1969.1/152529