Close Search Advanced
Journals
Resources
About Us
Open Access

The Parameter Averaging Technique in Finite-Difference Modeling of Elastic Waves in Combined Structures with Solid, Fluid and Porous Subregions

The Parameter Averaging Technique in Finite-Difference Modeling of Elastic Waves in Combined Structures with Solid, Fluid and Porous Subregions
Preview
Add to basket

Year:    2011

Communications in Computational Physics, Vol. 10 (2011), Iss. 3 : pp. 695–715

Abstract

To finite-difference model elastic wave propagation in a combined structure with solid, fluid and porous subregions, a set of modified Biot's equations are used, which can be reduced to the governing equations in solids, fluids as well as fluid-saturated porous media. Based on the modified Biot's equations, the field quantities are finite-difference discretized into unified forms in the whole structure, including those on any interface between the solid, fluid and porous subregions. For the discrete equations on interfaces, however, the harmonic mean of shear modulus and the arithmetic mean of the other parameters on both sides of the interfaces are used. These parameter averaging equations are validated by deriving from the continuity conditions on the interfaces. As an example of using the parameter averaging technique, a 2-D finite-difference scheme with a velocity-stress staggered grid in cylindrical coordinates is implemented to simulate the acoustic logs in porous formations. The finite difference simulations of the acoustic logging in a homogeneous formation agree well with those obtained by the analytical method. The acoustic logs with mud cakes clinging to the borehole well are simulated for investigating the effect of mud cake on the acoustic logs. The acoustic logs with a varying radius borehole embedded in a horizontally stratified formation are also simulated by using the proposed finite-difference scheme.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.020810.161210a

Communications in Computational Physics, Vol. 10 (2011), Iss. 3 : pp. 695–715

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    21

Keywords:   

  1. Simulation and analysis of elastic waves in partially saturated double-porosity media based on finite difference method

    Shi, Zhi-Qi | He, Xiao | Liu, Lin | Chen, De-Hua

    Acta Physica Sinica, Vol. 73 (2024), Iss. 10 P.100201

    https://doi.org/10.7498/aps.73.20240227 [Citations: 0]

  2. Acoustic Wave Propagation in a Borehole with a Gas Hydrate-Bearing Sediment

    Liu, Lin | Zhang, Xiumei | Ji, Yunjia | Wang, Xiuming

    Journal of Marine Science and Engineering, Vol. 10 (2022), Iss. 2 P.235

    https://doi.org/10.3390/jmse10020235 [Citations: 6]

  3. Numerical simulation of acoustic fields in formation generated by linear phased array acoustic transmitters during logging while drilling

    Yang, Shubo | Qiao, Wenxiao | Che, Xiaohua

    Journal of Petroleum Science and Engineering, Vol. 182 (2019), Iss. P.106184

    https://doi.org/10.1016/j.petrol.2019.106184 [Citations: 19]

  4. Acoustic field simulations of logging while drilling by cylindrical finite difference with variable grids

    Yue, Pan | Xiao, He | Hao, Chen | Xiu-Ming, Wang

    Applied Geophysics, Vol. 19 (2022), Iss. 1 P.11

    https://doi.org/10.1007/s11770-022-0922-x [Citations: 2]

  5. Seismic waves in medium with poroelastic/elastic interfaces: a two-dimensionalP-SVfinite-difference modelling

    Gregor, David | Moczo, Peter | Kristek, Jozef | Mesgouez, Arnaud | Lefeuve-Mesgouez, Gaëlle | Morency, Christina | Diaz, Julien | Kristekova, Miriam

    Geophysical Journal International, Vol. 228 (2021), Iss. 1 P.551

    https://doi.org/10.1093/gji/ggab357 [Citations: 1]

  6. Obliquely incident ultrasonic wave propagation in a fluid–solid configuration and solid velocity measurements

    Ji, Yunjia | Wang, Hua | Yang, Gengxiao | Bi, Qizhi

    Ultrasonics, Vol. 143 (2024), Iss. P.107428

    https://doi.org/10.1016/j.ultras.2024.107428 [Citations: 0]

  7. Interface detection of near-borehole stratified formation under different permeabilities based on seismoelectric logs: A finite-difference modeling

    Guan, Wei | Kou, Xing | Wang, Jun | Hu, Hengshan

    Geoenergy Science and Engineering, Vol. 234 (2024), Iss. P.212633

    https://doi.org/10.1016/j.geoen.2024.212633 [Citations: 1]

  8. Binary Level Set Methods for Dynamic Reservoir Characterization by Operator Splitting Scheme

    Yao, Changhui

    Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 06 P.780

    https://doi.org/10.4208/aamm.12-12S09 [Citations: 0]

  9. 3-D Simulation of Wave Propagation in the Fractured Porous Media for Subsurface Sensing: A Rotated Staggered Finite-Difference Algorithm Based on Equivalent Medium Theory

    Xu, Jiaqi | Hu, Hengshan | Han, Bo

    IEEE Transactions on Geoscience and Remote Sensing, Vol. 61 (2023), Iss. P.1

    https://doi.org/10.1109/TGRS.2023.3326615 [Citations: 2]

  10. Simulation of Stoneley wave reflection from porous formation in borehole using FDTD method

    Ou, Weiming | Wang, Zhuwen

    Geophysical Journal International, Vol. 217 (2019), Iss. 3 P.2081

    https://doi.org/10.1093/gji/ggz144 [Citations: 13]

  11. Influence of mode conversions in the skull on transcranial focused ultrasound and temperature fields utilizing the wave field separation method: A numerical study

    Wang, Xiang-Da | Lin, Wei-Jun | Su, Chang | Wang, Xiu-Ming

    Chinese Physics B, Vol. 27 (2018), Iss. 2 P.024302

    https://doi.org/10.1088/1674-1056/27/2/024302 [Citations: 6]

  12. 3D FINITE DIFFERENCE SIMULATIONS OF ACOUSTIC LOGS IN TILTED LAYERED POROUS FORMATIONS

    HE, XIAO | WANG, XIUMING | CHEN, HAO

    Journal of Computational Acoustics, Vol. 20 (2012), Iss. 02 P.1240009

    https://doi.org/10.1142/S0218396X12400097 [Citations: 6]

  13. Electromagnetic compatibility study of acoustoelectric logging detector

    Lu, Junqiang | Qin, Zhenyu | Men, Baiyong | Chen, Hongzhi

    Journal of Physics: Conference Series, Vol. 2822 (2024), Iss. 1 P.012071

    https://doi.org/10.1088/1742-6596/2822/1/012071 [Citations: 0]

  14. Discontinuous curvilinear collocated grid combined with nonuniform time step Runge-Kutta scheme for poroelastic finite-difference modeling

    Zhang, Heng | Sun, Yao-Chong | Ren, Hengxin | Zhang, Wei | Huang, Qinghua | Chen, Xiaofei

    GEOPHYSICS, Vol. 88 (2023), Iss. 1 P.T1

    https://doi.org/10.1190/geo2022-0180.1 [Citations: 2]

  15. Solutions of P-SV and SV-P waves in single-well imaging through reciprocity relations

    Xu, Jiaqi | Hu, Hengshan

    GEOPHYSICS, Vol. 85 (2020), Iss. 6 P.D245

    https://doi.org/10.1190/geo2019-0551.1 [Citations: 7]

  16. Finite-Difference Modeling of the Seismoelectric Logging in Fluid-Saturated Porous Formations

    Guan, Wei | Yang, Yufeng | Yao, Zexin | Hu, Hengshan

    Poromechanics VI, (2017), P.1540

    https://doi.org/10.1061/9780784480779.191 [Citations: 0]

  17. Numerical study of the collar wave characteristics and the effects of grooves in acoustic logging while drilling

    Yang, Yufeng | Guan, Wei | Hu, Hengshan | Xu, Minqiang

    Geophysical Journal International, Vol. 209 (2017), Iss. 2 P.749

    https://doi.org/10.1093/gji/ggx044 [Citations: 13]

  18. Experimental measurements of monopole inner/outer collar waves and estimation of P wave velocity in acoustic LWD

    Wang, Jun | Nie, Chengyang | Guan, Wei | Zhang, Chao

    Journal of Petroleum Science and Engineering, Vol. 214 (2022), Iss. P.110539

    https://doi.org/10.1016/j.petrol.2022.110539 [Citations: 1]