Article
Chemistry, Multidisciplinary
Weihua Li, Zhe Yang, Aichen Zhang, Fengcui Feng
Summary: Scattering of elastic waves by underground cavities is an important research topic with widespread applications in fields such as earthquake engineering, blast resistance of underground structures, and geophysical exploration. Previous studies mainly focused on ideal elastic or saturated poroelastic mediums, with limited understanding of cavities in unsaturated porous media. This study used the wave function expansion method to solve the scattering problem of plane P-1 waves and SV waves by a cavity with a permeable surface in an infinite unsaturated porous medium. Numerical results showed that the scattering of plane waves around the cavity strongly depends on the frequency of the incident waves, as well as the saturation, Poisson's ratio, and porosity of the surrounding medium.
APPLIED SCIENCES-BASEL
(2023)
Article
Geochemistry & Geophysics
Qiang Ma, Huipeng Jiang, Fengxi Zhou
Summary: Based on the propagation theory of elastic waves, this study investigates the energy transmission problem when a plane harmonic P-wave is incident on the interface between elastic medium and frozen poroelastic medium. Analytical expressions for the transmission and reflection coefficients, as well as the energy ratios of the transmitted and reflected waves, are derived based on the boundary conditions at the interface. The study also explores the relationship between the incident energy and various parameters such as incident angle, frequency, cementation parameters, porosity, saturation, and contact parameters. The results show that the incident angle, frequency, contact parameters, cementation parameters, porosity, and saturation all have significant influences on the energy ratios.
GEOPHYSICAL JOURNAL INTERNATIONAL
(2023)
Article
Engineering, Geological
Qiang Ma, Fengxi Zhou, Shengjun Shao, Shuai Shao, Meng Zhang
Summary: Based on the theory of unsaturated porous elastic medium, this study investigates the diffraction around the circular-arc canyon in unsaturated half-space under the incidence of plane P wave using the Fourier-Bessel series expansion method. Numerical examples are used to analyze the influence of parameters such as incident wave frequency, incident angle, arc depth-width ratio, and saturation on the surface displacement amplitude. The results show that the saturation significantly affects the variation of surface displacement amplitude, and the influence of saturated and unsaturated site soils on the variation of surface displacement amplitude is different under different depth-to-width ratio and incident frequency.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2023)
Article
Optics
Manami Ohta, Shutaro Kodama, Yoko Miyamoto, Wolfgang Osten, Mitsuo Takeda, Eriko Watanabe
Summary: A method is proposed for 3D imaging through a highly heterogeneous double-composite random medium. By designing a common-path phase-shift digital holography system, the wavefront distortion caused by the first inhomogeneous medium and the influence of the random phase introduced by the second scattering layer are effectively eliminated, achieving immunity to the heterogeneous random medium. The validity of the method was confirmed by experiments.
Article
Mathematics, Applied
Doo-Sung Lee
Summary: This paper investigates the scattering of plane compressional waves by two rigid inclusions in an infinite poroelastic medium using Laplace transform and Erdelyi's formula. Three infinite series equations are obtained by matching boundary conditions on the surface of the sphere, and the solution is found through successive approximations. The existence and uniqueness of the solution are discussed in the paper.
APPLICABLE ANALYSIS
(2021)
Article
Optics
Qingdong Yang, Weijin Chen, Yuntian Chen, Wei Liu
Summary: The study presents a comprehensive method to achieve polarization-independent Mie scattering with invariant scattering properties for plane waves of arbitrary polarizations. By utilizing rotation symmetry and eliminating optical activities, the scattering properties remain unchanged for various polarizations, with additional symmetries ensuring stability against perturbations. This intrinsic invariance, induced by discrete spatial symmetries, reciprocity, parity conservation, and helicity preservation, offers flexibility in designing optical devices with stable functionalities across different polarizations.
LASER & PHOTONICS REVIEWS
(2021)
Article
Mechanics
Q. Y. Wu, T. I. Khabakhpasheva, B. Y. Ni, A. A. Korobkin
Summary: This study investigates the problem of flexural-gravity waves generated by an oscillating rigid plate build-in a floating poroelastic plate. The coupled problem determines the plate deflections and hydrodynamics loads simultaneously. The inviscid and incompressible nature of the liquid under the poroelastic plate is considered. Two different analytical methods are used to solve the problems for different conditions of porosity. The analysis includes the examination of deflection and strain distributions based on excitation frequency and porosity. Two models of plate porosity are compared, and the damping effect caused by porosity is studied.
Article
Multidisciplinary Sciences
Zhiwei Liu, Hui Qi
Summary: An analytical solution to the anti-plane dynamics problem of semi-space rare earth giant magnetostrictive media with circular cavity defects near the horizontal boundary under the action of SH wave is studied, providing valuable insights for non-destructive testing and failure analysis of such materials. By establishing the elastic-magnetic dynamic equation and using the theory of complex function and the method of wave function expansion, analytical expressions for dynamic stress concentration factor and magnetic field intensity concentration factor around the circular cavity in the magnetostrictive medium are obtained.
SCIENTIFIC REPORTS
(2021)
Article
Geochemistry & Geophysics
P. Bogiatzis, C. A. Rychert, N. Harmon, Y. Xie
Summary: This paper presents a method for rapidly calculating the sensitivity kernels of P- and S-wave receiver functions. By comparing with amplitudes derived from a full waveform simulation, the validity of the approach is evaluated. The study shows that P-to-S kernels recover the structure of strong topography better than S-to-P kernels and also show better recovery of the amplitude of the discontinuities in comparison to S-to-P.
GEOPHYSICAL JOURNAL INTERNATIONAL
(2022)
Article
Computer Science, Information Systems
Ahsan Altaf, Hassan Sajjad, Cengiz Ozzaim, Ercument Arvas
Summary: This work focuses on solving the electromagnetic scattering problem of a chiral cylinder with arbitrary cross-section above an infinite perfect electric conducting plane. The problem is simplified to two chiral cylinders in free space using image theory, and the method of moments is then used to numerically solve the equivalent problems obtained through the surface equivalence principle. The results include scattered fields and equivalent surface currents on the cylinder, demonstrating the effectiveness of this approach.
Article
Engineering, Geological
Cheng Yue, Qijian Liu
Summary: General formulations of the complex function method are constructed to analyze the scattering of harmonic waves by an arbitrary-shaped cavity in an unsaturated medium. The wave fields of the unsaturated medium are solved using Fredlund's theory and Helmholtz's decomposition. Complex-valued expressions for various parameters are obtained by transforming the cavity onto a unit circle in the complex plane. A parametric study is performed to investigate the dynamic response of a rectangular cavity, and the results show that the saturation degree of the unsaturated medium significantly influences the stress concentration and pore pressure.
SOIL DYNAMICS AND EARTHQUAKE ENGINEERING
(2023)
Article
Multidisciplinary Sciences
Dana Bliyeva, Dossan Baigereyev, Kholmatzhon Imomnazarov
Summary: This article presents a numerical algorithm for solving an initial-boundary value problem for a symmetric t-hyperbolic system of partial differential equations, based on a continual filtration model describing seismic wave propagation in a poroelastic medium. The solution is implemented numerically using an explicit finite difference upwind scheme to avoid oscillations, and parallel computing is developed in Julia programming language. Computational experiments based on real data from oil reservoirs demonstrate the approach's potential, with dynamic visualization of solutions consistent with initial wave arrivals.
Article
Geochemistry & Geophysics
Enjiang Wang, Jose M. Carcione, Yang Yuan, Jing Ba
Summary: The study analyzed the reflection coefficient of an inhomogeneous plane wave incident on the thermally insulated surface of a thermo-poroelastic medium. The results showed that the GL model has stronger velocity dispersion compared to the LS model. Additionally, the generalized LS model predicts more interference energy with increasing Maxwell-Vernotte-Cattaneo relaxation time.
GEOPHYSICAL JOURNAL INTERNATIONAL
(2021)
Article
Polymer Science
Guancong Chen, Di Chen
Summary: This study presents a novel strategy to manipulate the permanent shapes of shape-memory polymers through solid-state plasticity. By utilizing dynamic metallo-supramolecular interactions, a multi-functional shape-memory polymer with tunable permanent shapes is developed. The material exhibits programmable shape-shifting behaviors and has potential practical applications.
Article
Engineering, Multidisciplinary
Anatoly Markov, Mikhail Markov, Valery Levin, Gerardo Ronquillo Jarillo
Summary: Elastic wave propagation in porous media can generate electromagnetic fields, which is especially true when the media contains a movable fluid. This study focuses on the electrolyte-filled pores, where the generated electromagnetic field is associated with electrokinetic effects. The magnitude of the electric current generated by the elastic wave is proportional to the relative displacement in the fluid and solid phases. In addition, the presence of inhomogeneities in the porous medium can cause additional fluid flow and generate an extra electric field. The study calculates the magnitude of the electromagnetic field generated during the scattering of an elastic wave on a spherical porous inclusion in a porous matrix, considering the differences in fluid properties or elastic skeleton properties between the inclusion and the matrix. The results demonstrate that analyzing the additional electromagnetic field during the scattering of the elastic wave can provide useful information about the structure of porous media.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Physics, Condensed Matter
Valery Levin, Mikhail Markov, Aleksandr Mousatov, Elena Kazatchenko, Evgeny Pervago
EUROPEAN PHYSICAL JOURNAL B
(2017)
Article
Engineering, Chemical
V. Levin, M. Markov, I. Markova
TRANSPORT IN POROUS MEDIA
(2018)
Article
Engineering, Multidisciplinary
S. Kanaun, V. Levin, M. Markov
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2018)
Article
Mathematics, Applied
Sergey Kanaun, Valery Levin, Mikhail Markov
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2018)
Article
Engineering, Chemical
Mikhail Markov, Anatoly Markov
TRANSPORT IN POROUS MEDIA
(2018)
Article
Geochemistry & Geophysics
I. Markova, G. Ronquillo Jarillo, M. Markov
GEOPHYSICAL PROSPECTING
(2019)
Article
Geochemistry & Geophysics
I Markova, M. Markov, J. Ramirez Sabag, G. Ronquillo Jarillo
Summary: This paper discusses a sonic logging tool designed for registering parameters of reflected waves in a borehole, calculating the mechanical impedance loading and frequency dependences in poroelastic formations. Results show that impedance measurements near resonance frequencies can determine the filtration properties of highly permeable rocks, while low-frequency impedance measurements offer a good way to evaluate the permeability of porous media.
GEOPHYSICAL PROSPECTING
(2021)
Article
Engineering, Multidisciplinary
Anatoly Markov, Mikhail Markov, Valery Levin, Gerardo Ronquillo Jarillo
Summary: Elastic wave propagation in porous media can generate electromagnetic fields, which is especially true when the media contains a movable fluid. This study focuses on the electrolyte-filled pores, where the generated electromagnetic field is associated with electrokinetic effects. The magnitude of the electric current generated by the elastic wave is proportional to the relative displacement in the fluid and solid phases. In addition, the presence of inhomogeneities in the porous medium can cause additional fluid flow and generate an extra electric field. The study calculates the magnitude of the electromagnetic field generated during the scattering of an elastic wave on a spherical porous inclusion in a porous matrix, considering the differences in fluid properties or elastic skeleton properties between the inclusion and the matrix. The results demonstrate that analyzing the additional electromagnetic field during the scattering of the elastic wave can provide useful information about the structure of porous media.
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
(2023)
Article
Engineering, Chemical
Anatoly Markov, Mikhail Markov, Valery Levin
Summary: We addressed the generation of an electromagnetic field during the scattering of an acoustic wave on a porous rigid sphere saturated by an electrolyte. The appearance of the electromagnetic field is due to the displacement of double electric layers at the boundary of the solid phase and the electrolyte. We solved the problem using electrokinetic equations for porous media and a quasi-static approach for the equations of electrodynamics. The research focused on the scattering of harmonic waves and acoustic impulses, analyzing the effects of fluid parameters and pore space characteristics on the amplitude of the electromagnetic field excited.
TRANSPORT IN POROUS MEDIA
(2023)
Article
Acoustics
Halis Yilmaz
Summary: We construct the N-fold standard binary Darboux transformation for the coupled Gerdjikov-Ivanov equation and use it to obtain explicit solutions of the equation in terms of quasi-Grammians. Furthermore, we present various particular solutions for the equation, including soliton, breather, and rogue wave solutions.