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Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method

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  • Liu, Tao

Abstract

Fluid-saturated porous media are two-phase media, which are composed of solid and liquid phases. Biot theory for fluid-saturated porous media holds that underground media are composed of porous elastic solid and compressible viscous fluid filled with pore space. Compared with the single-phase media theory, the fluid-saturated porous media theory can describe the subsurface media more precisely, and the elastic wave equations in the fluid-saturated porous media contain more parameters used to describe the formation properties. Therefore, fluid-saturated porous media theory is widely used in geophysical exploration, seismic engineering, and other fields.

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  • Liu, Tao, 2022. "Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s096007792200217x
    DOI: 10.1016/j.chaos.2022.112007
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    References listed on IDEAS

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    1. Deniz, Sinan, 2021. "Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Biazar, J. & Ghazvini, H. & Eslami, M., 2009. "He’s homotopy perturbation method for systems of integro-differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1253-1258.
    3. Fadugba, Sunday Emmanuel, 2020. "Homotopy analysis method and its applications in the valuation of European call options with time-fractional Black-Scholes equation," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    4. Kashkari, Bothayna S. & El-Tantawy, S.A. & Salas, Alvaro H. & El-Sherif, L.S., 2020. "Homotopy perturbation method for studying dissipative nonplanar solitons in an electronegative complex plasma," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    5. Liu, Tao, 2016. "Reconstruction of a permeability field with the wavelet multiscale–homotopy method for a nonlinear convection–diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 432-437.
    6. Naik, Parvaiz Ahmad & Zu, Jian & Ghoreishi, Mohammad, 2020. "Estimating the approximate analytical solution of HIV viral dynamic model by using homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    7. Ravi Kanth, A.S.V. & Aruna, K., 2009. "He’s homotopy-perturbation method for solving higher-order boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1905-1909.
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    Cited by:

    1. Tao Liu & Jiayuan Yu & Yuanjin Zheng & Chao Liu & Yanxiong Yang & Yunfei Qi, 2022. "A Nonlinear Multigrid Method for the Parameter Identification Problem of Partial Differential Equations with Constraints," Mathematics, MDPI, vol. 10(16), pages 1-12, August.
    2. Naeem Saleem & Salman Furqan & Kinda Abuasbeh & Muath Awadalla, 2023. "Fuzzy Triple Controlled Metric like Spaces with Applications," Mathematics, MDPI, vol. 11(6), pages 1-30, March.

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