Zeitschriftenartikel: „Poroelastodynamics“

1

Schanz, Martin. „Fast multipole method for poroelastodynamics“. Engineering Analysis with Boundary Elements 89 (April 2018): 50–59. http://dx.doi.org/10.1016/j.enganabound.2018.01.014.

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2

Qi, Quan, und Thomas L. Geers. „Doubly asymptotic approximations for transient poroelastodynamics“. Journal of the Acoustical Society of America 102, Nr. 3 (September 1997): 1361–71. http://dx.doi.org/10.1121/1.420097.

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3

Igumnov, Leonid A., Andrey Petrov und Alexander V. Amenitskiy. „Laplace Domain Boundary Element Method for 3D Poroelastodynamics“. Applied Mechanics and Materials 709 (Dezember 2014): 117–20. http://dx.doi.org/10.4028/www.scientific.net/amm.709.117.

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To describe poroelastic properties, a dynamic model of Biot’s material is used in the frame of the three-dimensional isotropic linear dynamic poroelasticity with four basic functions – displacements of the elastic skeleton and pore pressures. A direct version of the BIE method is developed. The boundary-element scheme is constructed using: regularized BIE’s, a matched element-by-element approximation, adaptive numerical integration in combination with a singularity-reducing algorithm, etc. The computer simulation is done using the boundary-element methodologies of the stepped method.

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4

Igumnov, Leonid A., Svetlana Litvinchuk, Andrey Petrov und Alexander A. Belov. „Boundary-Element Modeling of 3-D Poroelastic Half-Space Dynamics“. Advanced Materials Research 1040 (September 2014): 881–85. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.881.

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A direct approach of the boundary element method for treating 3-D boundary-value problems of poroelastodynamics is considered. Biot’s material model with four unknown base functions is used. Computational results for the surface responses of displacements and pore pressures as functions of a force acting on a half-space weakened by a cavity are presented.

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5

Liu, Chao. „Fundamental solutions to the transversely isotropic poroelastodynamics Mandel's problem“. International Journal for Numerical and Analytical Methods in Geomechanics 45, Nr. 15 (24.07.2021): 2260–83. http://dx.doi.org/10.1002/nag.3265.

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6

Ozyazicioglu, Mehmet. „Sudden Pressurization of a Spherical Cavity in a Poroelastic Medium“. Mathematical Problems in Engineering 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/632634.

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Governing equations of poroelastodynamics in time and frequency domain are derived. The continuity equation complements the momentum balance equations. After reduction for spherical symmetry (geometry and loading), the governing equations in frequency domain are solved by introducing wave potentials. The wave propagation velocities are obtained as the real parts of the characteristic equation of the coupled ODE system. Time domain solution for Dirac type boundary pressure is obtained through numerical inversion of transformed solutions. The results are compared to the solution in classical elasticity theory found in the literature.

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7

Igumnov, L. A., S. Yu Litvinchuk und Ya Yu Rataushko. „3D POROELASTODYNAMICS MODELINGWITH THE HELP OF TIME-STEPPING BOUNDARY ELEMENT SCHEME“. Problems of Strength and Plasticity 76, Nr. 3 (2014): 198–204. http://dx.doi.org/10.32326/1814-9146-2014-76-3-198-204.

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8

Chou, Dean, und Po-Yen Chen. „A machine learning method to explore the glymphatic system via poroelastodynamics“. Chaos, Solitons & Fractals 178 (Januar 2024): 114334. http://dx.doi.org/10.1016/j.chaos.2023.114334.

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9

Vorobtsov, Igor, Aleksandr Belov und Andrey Petrov. „Development of boundary-element time-step scheme in solving 3D poroelastodynamics problems“. EPJ Web of Conferences 183 (2018): 01042. http://dx.doi.org/10.1051/epjconf/201818301042.

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The development of time-step boundary-element scheme for the three dimensional boundaryvalue problems of poroelastodynamics is presented. The poroelastic continuum is described using Biot’s mathematical model. Poroelastic material is assumed to consist of a solid phase constituting an elastic formdefining skeleton and carrying most of the loading, and two fluid phases filling the pores. Dynamic equations of the poroelastic medium are written for unknown functions of displacement of the elastic skeleton and pore pressures of the filling materials. Green’s matrices and, based on it, boundary integral equations are written in Laplace domain. Discrete analogue are obtained by applying the collocation method to a regularized boundary integral equation. Boundary element scheme is based on time-step method of numerical inversion of Laplace transform. A modification of the time-step scheme on the nodes of Runge-Kutta methods is considered. The Runge-Kutta scheme is exemplified with 2-and 3-stage Radau schemes. The results of comparing the two schemes in analyzing a numerical example are presented.

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10

Igumnov, L. A., A. N. Petrov und I. V. Vorobtsov. „Analysis of 3D poroelastodynamics using BEM based on modified time-step scheme“. IOP Conference Series: Earth and Environmental Science 87 (Oktober 2017): 082022. http://dx.doi.org/10.1088/1755-1315/87/8/082022.

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11

Thekkethil, Namshad, Simone Rossi, Hao Gao, Scott I. Heath Richardson, Boyce E. Griffith und Xiaoyu Luo. „A stabilized linear finite element method for anisotropic poroelastodynamics with application to cardiac perfusion“. Computer Methods in Applied Mechanics and Engineering 405 (Februar 2023): 115877. http://dx.doi.org/10.1016/j.cma.2022.115877.

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12

FURUKAWA, Akira, Takahiro SAITOH und Sohichi HIROSE. „DEVELOPMENT OF A FREQUENCY-DOMAIN BOUNDARY ELEMENT METHOD FOR 3-D POROELASTODYNAMICS IN GENERAL ANISOTROPY“. Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 71, Nr. 2 (2015): I_255—I_266. http://dx.doi.org/10.2208/jscejam.71.i_255.

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13

Chou, Dean, und Po-Yen Chen. „A perceptron-based learning method for solving the inverse problem of the brain model via poroelastodynamics“. Chaos, Solitons & Fractals 172 (Juli 2023): 113611. http://dx.doi.org/10.1016/j.chaos.2023.113611.

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14

Wang, Xiaoyang, Mian Chen, Yang Xia, Yan Jin und Shunde Yin. „Transient Stress Distribution and Failure Response of a Wellbore Drilled by a Periodic Load“. Energies 12, Nr. 18 (10.09.2019): 3486. http://dx.doi.org/10.3390/en12183486.

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The poroelastodynamic failure of a wellbore due to periodic loading during drilling is an unsolved problem. The conventional poroelastic method to calculate the stress distribution around wellbore is for static loading cases and cannot be used for short-time dynamic-loading cases which result in wave propagation in the formation. This paper formulates a poroelastodynamic model to characterize dynamic stress and pressure wave due to periodic loadings and to analyze the transient failure of the suddenly drilled wellbore in a non-hydrostatic stress field. The fully coupled poroelastodynamic model was developed based on the equations of motion, fluid flow and constitutive equations to reflect stress and pressure waves that resulted from a periodic stress perturbation at the wellbore surface. The model was analytically solved by means of field expansions of the solutions, by performing a Laplace transform as well as some special techniques. Simulation results show that the pressure and stress responses inside the formation resemble a damped oscillator where the amplitude decays as the distance to wellbore increases. Especially the potential shear failure zone around the wellbore was computed and plotted. Influences of poroelastic parameters, in-situ stress and periodic load parameters on the shear failure responses were analyzed in a detailed parametric study, and the results provide fundamental insights into wellbore stability maintenance in different reservoirs.

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15

Nenning, Mathias, und Martin Schanz. „Infinite elements in a poroelastodynamic FEM“. PAMM 10, Nr. 1 (16.11.2010): 199–200. http://dx.doi.org/10.1002/pamm.201010092.

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16

Nenning, M., und M. Schanz. „Infinite elements in a poroelastodynamic FEM“. International Journal for Numerical and Analytical Methods in Geomechanics 35, Nr. 16 (10.11.2010): 1774–800. http://dx.doi.org/10.1002/nag.980.

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17

Nagler, Loris, und Martin Schanz. „A Poroelastodynamic Plate Formulation of Extendable Order“. PAMM 10, Nr. 1 (16.11.2010): 197–98. http://dx.doi.org/10.1002/pamm.201010091.

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18

Keawsawasvong, Suraparb, und Teerapong Senjuntichai. „Poroelastodynamic fundamental solutions of transversely isotropic half-plane“. Computers and Geotechnics 106 (Februar 2019): 52–67. http://dx.doi.org/10.1016/j.compgeo.2018.10.012.

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19

Schanz, Martin, und Lars Kielhorn. „Poroelastodynamic Boundary Element Method in Time Domain: Numerical Aspects“. PAMM 5, Nr. 1 (Dezember 2005): 443–44. http://dx.doi.org/10.1002/pamm.200510198.

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20

Meng, Meng, Stefan Z. Miska, Mengjiao Yu und Evren M. Ozbayoglu. „Fully Coupled Modeling of Dynamic Loading of the Wellbore“. SPE Journal 25, Nr. 03 (14.11.2019): 1462–88. http://dx.doi.org/10.2118/198914-pa.

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Summary Loadings acting on a wellbore are more realistically regarded as dynamic rather than static, and the wellbore response under dynamic loading can be different from that under static loading. Under dynamic loading, the inertia term should be considered and the changing rate of loading could induce a change in the mechanical properties of the wellbore, which might compromise wellbore stability and integrity. In this paper, a fully coupled poroelastodynamic model is proposed to study wellbore behavior. This model not only considers fully coupled deformation/diffusion effects, but also includes both solid and fluid inertia terms. The implicit finite-difference method was applied to solve the governing equations, which allows this model to handle all kinds of dynamic loading conditions. After modifying the existing code only slightly, our numerical solution can neglect inertia terms. The numerical results were validated by comparing them to the analytical solution with a simulated sinusoidal boundary condition. To understand this model better, a sensitivity analysis was performed, and the influence of inertia terms was investigated. After that, the model was applied to analyze wellbore stability under tripping operations. The results show that the inertial effect is insignificant for tripping and a fully coupled, quasistatic model is recommended for wellbore stability under tripping operations. The fully coupled poroelastodynamic model should be used for rapid dynamic loading conditions, such as earthquakes and perforations.

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21

Pooladi, Ahmad, Mohammad Rahimian und Ronald Y. S. Pak. „Poroelastodynamic potential method for transversely isotropic fluid-saturated poroelastic media“. Applied Mathematical Modelling 50 (Oktober 2017): 177–99. http://dx.doi.org/10.1016/j.apm.2017.05.032.

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22

Nguyen, Khoa-Van, und Behrouz Gatmiri. „Numerical implementation of fundamental solution for solving 2D transient poroelastodynamic problems“. Wave Motion 44, Nr. 3 (Januar 2007): 137–52. http://dx.doi.org/10.1016/j.wavemoti.2006.08.002.

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23

Xia, Yang, Yan Jin, Mian Chen und Kangping Chen. „Poroelastodynamic response of a borehole in a non-hydrostatic stress field“. International Journal of Rock Mechanics and Mining Sciences 93 (März 2017): 82–93. http://dx.doi.org/10.1016/j.ijrmms.2017.01.008.

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24

Hodaei, Mohammad, und Andreas Mandelis. „Quantitative osteoporosis diagnosis of porous cancellous bone using poroelastodynamic modal analysis“. Journal of the Acoustical Society of America 154, Nr. 5 (01.11.2023): 3101–24. http://dx.doi.org/10.1121/10.0022351.

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Osteoporosis is a skeletal disease characterized by reduced bone mass and microarchitectural deterioration, leading to increased fragility. This study presents a novel three-dimensional poroelastodynamic model for analyzing cancellous bone free vibration responses. The model incorporates the Navier-Stokes equations of linear elasticity and the Biot theory of porous media, allowing the investigation of osteoporosis-related changes. The analysis considers parameters like porosity, density, elasticity, Poisson ratio, and viscosity of bone marrow within the porous medium. Our findings indicate that natural frequencies of cancellous bone play a crucial role in osteoporosis prediction. By incorporating experimental data from 12 mouse femurs, we unveil insights into osteoporosis prediction. Increased porosity reduces bone stiffness, lowering natural frequencies. However, it also increases bone mass loss relative to stiffness, leading to higher frequencies. Therefore, the natural frequencies of osteoporotic bone are always higher than the natural frequencies of normal bone. Additionally, an increase in bone marrow within the pores, while increasing damping effects, also increases natural frequencies, which is another indication of osteoporosis growth in bone. The presence of bone marrow within the pores further influences natural frequencies, providing additional insights into osteoporosis growth. Thinner and smaller bones are found to be more susceptible to osteoporosis compared to larger and bigger bones due to their higher natural frequencies at equivalent porosity levels.

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25

Liu, Chao, und Dung T. Phan. „Poroelastodynamic responses of a dual-porosity dual-permeability material under harmonic loading“. Partial Differential Equations in Applied Mathematics 4 (Dezember 2021): 100074. http://dx.doi.org/10.1016/j.padiff.2021.100074.

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26

Chou, Dean, und Yu-Hao Cheng. „Behaviour of battery separator under different charge rates according to poroelastodynamic model“. Journal of Energy Storage 56 (Dezember 2022): 106054. http://dx.doi.org/10.1016/j.est.2022.106054.

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27

Wapenaar, Kees, und Evert Slob. „Reciprocity and Representations for Wave Fields in 3D Inhomogeneous Parity-Time Symmetric Materials“. Symmetry 14, Nr. 11 (25.10.2022): 2236. http://dx.doi.org/10.3390/sym14112236.

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Inspired by recent developments in wave propagation and scattering experiments with parity-time (PT) symmetric materials, we discuss reciprocity and representation theorems for 3D inhomogeneous PT-symmetric materials and indicate some applications. We start with a unified matrix-vector wave equation which accounts for acoustic, quantum-mechanical, electromagnetic, elastodynamic, poroelastodynamic, piezoelectric and seismoelectric waves. Based on the symmetry properties of the operator matrix in this equation, we derive unified reciprocity theorems for wave fields in 3D arbitrary inhomogeneous media and 3D inhomogeneous media with PT-symmetry. These theorems form the basis for deriving unified wave field representations and relations between reflection and transmission responses in such media. Among the potential applications are interferometric Green’s matrix retrieval and Marchenko-type Green’s matrix retrieval in PT-symmetric materials.

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28

Ye, Zi, und Zhi Yong Ai. „Poroelastodynamic response of layered unsaturated media in the vicinity of a moving harmonic load“. Computers and Geotechnics 138 (Oktober 2021): 104358. http://dx.doi.org/10.1016/j.compgeo.2021.104358.

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29

Igumnov, L. A., I. V. Vorobtsov und S. Yu Litvinchuk. „Boundary Element Method with Runge-Kutta Convolution Quadrature for Three-Dimensional Dynamic Poroelasticity“. Applied Mechanics and Materials 709 (Dezember 2014): 101–4. http://dx.doi.org/10.4028/www.scientific.net/amm.709.101.

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The paper contains a brief introduction to the state of the art in poroelasticity models, in BIE & BEM methods application to solve dynamic problems in Laplace domain. Convolution Quadrature Method is formulated, as well as Runge-Kutta convolution quadrature modification and scheme with a key based on the highly oscillatory quadrature principles. Several approaches to Laplace transform inversion, including based on traditional Euler stepping scheme and Runge-Kutta stepping schemes, are numerically compared. A BIE system of direct approach in Laplace domain is used together with the discretization technique based on the collocation method. The boundary is discretized with the quadrilateral 8-node biquadratic elements. Generalized boundary functions are approximated with the help of the Goldshteyn’s displacement-stress matched model. The time-stepping scheme can rely on the application of convolution theorem as well as integration theorem. By means of the developed software the following 3d poroelastodynamic problem were numerically treated: a Heaviside-shaped longitudinal load acting on the face of a column.

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30

Xia, Yang, Yan Jin, Mian Chen und Kangping Chen. „Thermo-poroelastodynamic response of a borehole in a saturated porous medium subjected to a non-hydrostatic stress field“. International Journal of Rock Mechanics and Mining Sciences 170 (Oktober 2023): 105422. http://dx.doi.org/10.1016/j.ijrmms.2023.105422.

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31

Mahardika, H., A. Revil und A. Jardani. „Waveform joint inversion of seismograms and electrograms for moment tensor characterization of fracking events“. GEOPHYSICS 77, Nr. 5 (01.09.2012): ID23—ID39. http://dx.doi.org/10.1190/geo2012-0019.1.

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Electromagnetic signals have been observed in association with fracking experiments in the laboratory, and in the field. We have developed a seismoelectric forward modeling approach to produce synthetic seismograms and electrograms generated by fracking events using the finite-element method with perfect matched-layer boundary conditions. The poroelastodynamic equations are solved in the frequency domain using a formulation based on the solid phase displacement and the pore pressure. These results are used to compute the electrical field disturbances of electrokinetic nature. Three types of electrical signals are generated: Type I disturbance is associated with the seismic source itself, Type II disturbance corresponds to seismoelectric conversions, and Type III corresponds to coseismic signals. This model is applied to simulate the seismic and electrical signals corresponding to the occurrence of a fracking event in a two-layers system. We perform a stochastic joint inversion of the seismograms and electrograms using the adaptive Metropolis algorithm (AMA) to obtain the posterior probability density functions of the parameters characterizing the seismic source assuming that the velocity model is perfectly known. The joint waveform inversion is performed on synthetic noise-free data and the AMA algorithm is successful in retrieving the true values of the unknown parameters. The proposed approach is then tested on the same synthetic data after being contaminated with 15% random noise with respect to the maximum amplitude of the signals. The model parameters are better determined for the joint inversion of seismic and electrical data by comparison with the inversion of the seismic time-series alone. We also propose a deterministic tomographic algorithm that is successful in locating the in situ source current density distribution for Types I and II anomalies from the electrical data alone.

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32

Liu, Chao. „Dual-Porosity Dual-Permeability Poroelastodynamics Analytical Solutions for Mandel’s Problem“. Journal of Applied Mechanics 88, Nr. 1 (28.09.2020). http://dx.doi.org/10.1115/1.4048398.

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Abstract Analytical solutions to the classical Mandel’s problem play an important role in understanding Biot’s theory of poroelasticity and validating geomechanics numerical algorithms. In this paper, existing quasi-static poroelastic solutions to this problem are extended to the dual-porosity dual-permeability poroelastodynamics solution which considers inertial effects for a naturally fractured and fluid-saturated sample subjected to a harmonic excitation. The solution can generate the associated elastodynamics and poroelastodynamics solutions as special cases. A naturally fractured Ohio sandstone is selected to demonstrate the newly derived solution. The elastodynamics, poroelastodynamics, and dual-porosity poroelastodynamics solutions are compared to illustrate the effects of fluid–solid coupling and the natural fractures. The rock sample behaves in drained condition at low frequencies when the oscillation has insignificant impedance effects on fluid movement. Compared to the other two solutions, the dual-porosity solution predicts the largest amplitude of displacement at low frequencies when the response is predominantly controlled by the stiffness. The Mandel–Cryer effect is observed in both rock matrix and fractures and occurs at a lower frequency in rock matrix because it is easier to build up pore pressure in lower-permeability rock matrix. At high frequencies, pore fluids are trapped and the rock sample behaves in an undrained state. At the resonance frequencies, the elastodynamics solution provides the largest amplitude of displacement, followed by the poroelastodynamics and dual-porosity poroelastodynamics solution. This is because of the dissipation caused by the presence of both fluid and fractures.

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33

Schanz, Martin. „Poroelastodynamics: Linear Models, Analytical Solutions, and Numerical Methods“. Applied Mechanics Reviews 62, Nr. 3 (31.03.2009). http://dx.doi.org/10.1115/1.3090831.

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This article presents an overview on poroelastodynamic models and some analytical solutions. A brief summary of Biot’s theory and of other poroelastic dynamic governing equations is given. There is a focus on dynamic formulations, and the quasistatic case is not considered at all. Some analytical solutions for special problems, fundamental solutions, and Green’s functions are discussed. The numerical realization with two different methodologies, namely, the finite element method and the boundary element method, is reviewed.

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34

Ding, Boyang, Alexander H. D. Cheng und Zhanglong Chen. „Fundamental Solutions of Poroelastodynamics in Frequency Domain Based on Wave Decomposition“. Journal of Applied Mechanics 80, Nr. 6 (21.08.2013). http://dx.doi.org/10.1115/1.4023692.

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Fundamental solutions of poroelastodynamics in the frequency domain have been derived by Cheng et al. (1991, “Integral Equation for Dynamic Poroelasticity in Frequency Domain With BEM Solution,” J. Eng. Mech., 117(5), pp. 1136–1157) for the point force and fluid source singularities in 2D and 3D, using an analogy between poroelasticity and thermoelasticity. In this paper, a formal derivation is presented based on the decomposition of a Dirac δ function into a rotational and a dilatational part. The decomposition allows the derived fundamental solutions to be separated into a shear and two compressional wave components, before they are combined. For the point force solution, each of the isolated wave components contains a term that is not present in the combined wave field; hence can be observable only if the present approach is taken. These isolated wave fields may be useful in applications where it is desirable to separate the shear and compressional wave effects. These wave fields are evaluated and plotted.

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Zhu, Ge, Shimin Dong und Hongbo Wang. „Reservoir stress analysis during simultaneous pulsating hydraulic fracturing based on the poroelastodynamics model“. Environmental Earth Sciences 83, Nr. 13 (Juli 2024). http://dx.doi.org/10.1007/s12665-024-11720-0.

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36

Dana, Saumik, und Birendra Jha. „Towards a poroelastodynamics framework for induced earthquakes: effect of pore pressure on fault mechanics“. International Journal for Multiscale Computational Engineering, 2021. http://dx.doi.org/10.1615/intjmultcompeng.2021041646.

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37

Irwin, Zachariah T., John D. Clayton und Richard A. Regueiro. „A large deformation multiphase continuum mechanics model for shock loading of soft porous materials“. International Journal for Numerical Methods in Engineering, 03.01.2024. http://dx.doi.org/10.1002/nme.7411.

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AbstractA large deformation, coupled finite‐element (FE) model is developed to simulate the multiphase response of soft porous materials subjected to high strain‐rate loading. The approach is based on the theory of porous media (TPM) at large deformations. Simplifications to the one‐dimensional regime studied in the numerical simulations follow. An overview of several different time integration schemes is presented for the purpose of solving the nonlinear dynamic coupled balance of momenta (mixture and fluid) and balance of mass of the mixture equations. Numerical examples are presented for (i) verification against closed‐form analytical solutions assuming small loads, (ii) demonstrating large deformation effects at high strain‐rate, and (iii) showing differences in deformations between a single‐phase elastodynamics model with occluded compressible pore fluid and a multiphase poroelastodynamics model at high strain‐rate. The multiphase model shows that the relative motion of the pore fluid significantly dampens the deformation response of the solid skeleton as compared to the single‐phase model, and makes it possible to extract quantitative values for the stresses of the different constituents, thereby allowing one to form preliminary conclusions about the onset of damage in the solid skeleton. The novelty of the current work is developing a multiphase, large deformation, mixture theory numerical model for high strain‐rate loading of soft porous materials. It was discovered that explicit, adaptive time‐stepping Runge–Kutta schemes offer high accuracy at relatively low cost when compared to traditional implicit or explicit central difference time‐stepping schemes for shock‐like loadings. Shock viscosity is added to the mixture momentum balance equation to regularize the shock front, and a stabilization term is added to the mixture mass balance equation to stabilize equal order interpolation finite elements for the coupled finite element solution of multiphase materials.

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38

Climent, Natalia, Ionut Dragos Moldovan und João António Freitas. „Three‐dimensional hybrid‐Trefftz displacement elements for poroelastodynamic problems in saturated media“. International Journal for Numerical Methods in Engineering, 18.03.2022. http://dx.doi.org/10.1002/nme.6965.

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39

Chou, Dean, Yun-Di Li, Chen-Yuan Chung und Zartasha Mustansar. „Using a poroelastodynamic model to investigate the dynamic behaviour of articular cartilage“. Computer Methods and Programs in Biomedicine, März 2023, 107481. http://dx.doi.org/10.1016/j.cmpb.2023.107481.

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40

Liu, Chao, und Dung T. Phan. „Poroelastodynamic responses and elastic moduli of a transversely isotropic porous cylinder under forced deformation test“. International Journal of Mining Science and Technology, Mai 2023. http://dx.doi.org/10.1016/j.ijmst.2023.03.005.

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41

Heimisson, Elías Rafn, und Antonio Pio Rinaldi. „Spectral boundary integral method for simulating static and dynamic fields from a fault rupture in a poroelastodynamic solid“. Geomechanics and Geophysics for Geo-Energy and Geo-Resources 8, Nr. 2 (25.03.2022). http://dx.doi.org/10.1007/s40948-022-00368-4.

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AbstractThe spectral boundary integral method is popular for simulating fault, fracture, and frictional processes at a planar interface. However, the method is less commonly used to simulate off-fault dynamic fields. Here we develop a spectral boundary integral method for poroelastodynamic solid. The method has two steps: first, a numerical approximation of a convolution kernel and second, an efficient temporal convolution of slip speed and the appropriate kernel. The first step is computationally expensive but easily parallelizable and scalable such that the computational time is mostly restricted by computational resources. The kernel is independent of the slip history such that the same kernel can be used to explore a wide range of slip scenarios. We apply the method by exploring the short-time dynamic and static responses: first, with a simple source at intermediate and far-field distances and second, with a complex near-field source. We check if similar results can be attained with dynamic elasticity and undrained pore-pressure response and conclude that such an approach works well in the near-field but not necessarily at an intermediate and far-field distance. We analyze the dynamic pore-pressure response and find that the P-wave arrival carries a significant pore pressure peak that may be observed in high sampling rate pore-pressure measurements. We conclude that a spectral boundary integral method may offer a viable alternative to other approaches where the bulk is discretized, providing a better understanding of the near-field dynamics of the bulk in response to finite fault ruptures.

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42

Zhang, Zhiqing, Bohao Zhou, Xibin Li und Zhe Wang. „Second-order Stokes wave-induced dynamic response and instantaneous liquefaction in a transversely isotropic and multilayered poroelastic seabed“. Frontiers in Marine Science 9 (20.12.2022). http://dx.doi.org/10.3389/fmars.2022.1082337.

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The ocean waves exhibit obvious non-linearity with asymmetric distribution of wave crests and troughs, which could induce significantly different effect on the seabed compared to the commonly used linear wave theory. In this paper, a semi-analytical solution for a transversely isotropic and multilayered poroelastic seabed under non-linear ocean wave is proposed by virtue of the dual variable and position (DVP) method. The ocean wave and seabed are, respectively, modelled using second-order Stokes theory and Biot’s complete poroelastodynamic theory. Then the established governing equations are decoupled and solved via the powerful scalar potential functions. Making use of the DVP scheme, the layered solutions are finally gained by combining the boundary conditions of the seabed. The developed solutions are verified by comparing with existing solutions. The selected numerical examples are presented to investigate the effect of main parameters on the dynamic response of the seabed and evaluate the corresponding liquefaction potential. The results show that the anisotropic stiffness and permeability, degree of saturation and stratification have remarkable influence on the dynamic response and liquefaction behavior of the seabed. The present solution is a useful tool to estimate the stability of transversely isotropic and layered seabed sediment in the range of non-linear ocean wave.

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Li, Zhengze, und Haiming Zhang. „Time-domain Green’s function in poroelastic mediums and its application to 3D spontaneous rupture simulation“. Geophysical Journal International, 08.05.2023. http://dx.doi.org/10.1093/gji/ggad192.

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Summary Plenty of studies have suggested that pore fluid may play an important role in earthquake rupture processes. Establishing numerical models can provide great insight into how pore fluid may affect earthquake rupture processes. However, numerical simulation of 3D spontaneous ruptures in poroelastic mediums is still a challenging task. In this article, it is found that a closed-form time-domain Green’s function of Biot’s poroelastodynamic model can be constructed when the source frequency and source-field distance are within a certain range. The time-domain Green’s function is validated by being transformed into the frequency domain and comparing with the frequency-domain Green’s functions obtained by former papers. Poroelastic wave propagation phase diagrams for various two-phase poroelastic mediums are then plotted to show the applicable range of frequency and source-field distance for the new time-domain Green’s function. It is shown that the applicable range not only include the frequency and spatial range of concern in seismology but also overlap that in acoustics. Based on the time-domain Green’s function, the boundary integral equations for modeling dynamic ruptures in elastic mediums are extended to fluid-saturated mediums. In the meantime, a functional relationship between the effective stress tensor and the total stress tensor in fluid-saturated mediums is also obtained, which allows us to directly obtain the effective stress by boundary integral equations. The spontaneous rupture processes controlled by the slip-weakening friction law on faults in elastic mediums and in fluid-saturated mediums are compared. It is found that under the same conditions, fluid-saturated rocks are more prone to supershear rupture than dry rocks. This result suggests that pore fluid may promote the excitation of supershear rupture. The poroelastic wave propagation phase diagrams also suggest that simulating a coseismic phase in the real scale requires a certain sample length in laboratories. They also suggest that an undrained governing equation is suitable for seismic wave propagation simulation in poroelastic media.

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