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Meshfree numerical procedure of Biot’s consolidation: a coupled smoothed particle hydrodynamics and peridynamics model

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Abstract

A meshfree-based coupling of smoothed particle hydrodynamics (SPH) and peridynamics (PD) is developed to study the interaction between fluid flow and mechanical deformation in a poroelastic medium. The peridynamic method is employed to analyze fluid flow through pore spaces whereas the SPH method evaluates velocity and stresses of the solid skeleton. The paper presents a mathematical framework of the procedure of coupling between SPH and PD methods. The change of reservoir porosity resulting from the change in pore pressure and mechanical deformation of the solid is also incorporated in this coupling algorithm. Finally, the versatility and efficiency of the proposed numerical framework are demonstrated through two numerical benchmark problems.

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Authors and Affiliations

  1. Department of Mining Engineering, Indian Institute of Technology, Kharagpur, West Bengal, 721302, India

    Sudip Das & Debasis Deb

  2. Department of Earth Sciences, Indian Institute of Petroleum and Energy, Visakhapatnam, Andhra Pradesh, 530003, India

    Ranjan Pramanik

Authors
  1. Sudip Das
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  2. Debasis Deb
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  3. Ranjan Pramanik
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Correspondence to Ranjan Pramanik.

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Das, S., Deb, D. & Pramanik, R. Meshfree numerical procedure of Biot’s consolidation: a coupled smoothed particle hydrodynamics and peridynamics model. Comp. Part. Mech. 9, 775–788 (2022). https://doi.org/10.1007/s40571-021-00443-9

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