What is it about?
The paper discusses an application of the isoparametric spectral element method (SEM) for the numerical solving of problems of full-wave modeling in heterogeneous regions of complex curvilinear shape with sharply changing material parameters (including discontinuous). In particular a problem of the wave propagation in a borehole surrounded by a poroelastic fluid saturated medium is considered.
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Why is it important?
High order isoparametric spectral element was used both to discretize a computational domain’s curvilinear geometry (containing circular shape borehole) and model’s equations posed on it. Results of numerical solving an acoustic logging problem in a poroelastic medium are presented. A difference between high and low-frequency approximations of the friction force as well as an influence of different types of boundary conditions are analyzed.
Perspectives
Application of isoparametric spectral element method for the simulation of borehole logging by solving Biot’s equations is considered. Computation of convolution integral appearing in the friction force term is reviewed. Results of numerical modeling for the poroelastic medium are compared with existing analytical solution demonstrating the importance of high-frequency approximation of the friction force. Simulation results for different types of boundary conditions between borehole fluid and poroelastic medium are presented.
Dr. Anatoly Victor Vershinin
Moskovskij gosudarstvennyj universitet imeni M V Lomonosova
Read the Original
This page is a summary of: Modeling of acoustic logging in poroelastic media using spectral element method, January 2020, American Institute of Physics,
DOI: 10.1063/5.0034443.
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