none 10.1190/geo2023-0616.1 Society of Exploration Geophysicists Society of Exploration Geophysicists 186 163059641 5981 2025121212373552900 10.1190 2025-12-12T17:37:47Z 2024-07-26T12:24:54Z 13 Geophysics 0016-8033 1942-2156 01 11 2024 89 6 Xingguo Huang Jilin University 1 , College of Instrumentation and Electrical Engineering, Changchun, China. xingguohuang@jlu.edu.cn (corresponding author) http://orcid.org/0000-0001-9719-6297 Tong Sun Jilin University 1 , College of Instrumentation and Electrical Engineering, Changchun, China. suntong22@mais.jlu.edu.cn http://orcid.org/0009-0003-5032-9242 Stewart Greenhalgh Swiss Federal Institute of Technology (ETH) Zurich 2 , Institute of Geophysics, Department of Earth Sciences, Zurich, Switzerland. gstewart@retired.ethz.ch http://orcid.org/0000-0002-0028-2779 ABSTRACT Understanding wave scattering in the earth is considered fundamental in describing seismic wave propagation and providing information on structural features of the earth’s interior. Petrophysical parameters (especially porosity and permeability) affect the reflection coefficients of subsurface interfaces, which can better explain the field data and infer the subsurface structure. However, the numerical solutions to the scattering problem for efficient modeling of wave propagation in poroelastic earth structures have limitations. We develop a numerical algorithm for solving the poroelastic scattering integral equations. Specifically, applying perturbation theory to Biot’s equations, the solutions are expressed by the Lippman-Schwinger integral equations, which can express the displacement and pressure fields. We derive the contrast-source integral equations of the decoupled poroelastic wave equations. We apply a conjugate-gradient fast Fourier transform method for fast solutions of the integral equations. We show that despite the complexity of the geologic structure, the numerical method enables the modeling of the displacement and pressure fields in the frequency and time domains. 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