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Original Articles

Development of linear-element boundary element method for inverse solution from induced far-field displacements to reservoir loading source

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Pages 265-285 | Received 26 May 2022, Accepted 01 May 2023, Published online: 13 May 2023

References

  • Assaad, M. (1983). Development of the linear displacement discontinuity method. Iowa State University. https://doi.org/10.31274/rtd-180813-7993
  • Cai, S. (2015). Study on inverse problem from surface displacement monitoring to solving fluid injection into reservoir. Dalian University of Technology.
  • Chen, L. L., Lian, H., Liu, Z., Chen, H. B., Atroshchenko, E., & Bordas, S. P. A. (2019). Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Computer Methods in Applied Mechanics and Engineering, 355, 926–951. https://doi.org/10.1016/j.cma.2019.06.012
  • Cho, S., Kim, S., & Kim, J. (2019). Life-cycle energy, cost, and CO2 emission of CO2-enhanced coalbed methane (ECBM) recovery framework. Journal of Natural Gas Science and Engineering, 70, 102953. https://doi.org/10.1016/j.jngse.2019.102953
  • Crawford, A. M., & Curran, J. H. (1982). Higher-order functional variation displacement discontinuity elements. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 19(3), 143–148. https://doi.org/10.1016/0148-9062(82)91154-8
  • Crouch, S. (1976). Solution of plane elasticity problems by the displacement discontinuity method. I. Infinite body solution. International Journal for Numerical Methods in Engineering, 10(2), 301–343. https://doi.org/10.1002/nme.1620100206
  • Crouch, S., & Starfidld, A. (1983). Boundary element methods in solid mechanics. George Allen & Unwin. https://doi.org/10.1016/0141-1187(83)90029-9
  • Cui, X., Li, H., Cheng, G., Tang, C., & Gao, X. (2017). Contour integral approaches for the evaluation of stress intensity factors using displacement discontinuity method. Engineering Analysis with Boundary Elements, 82, 119–129. https://doi.org/10.1016/j.enganabound.2017.05.008
  • Gong, B., Wang, Y., Zhao, T., Tang, C., Yang, X., & Chen, T. (2022). AE energy evolution during CJB fracture affected by rock heterogeneity and column irregularity under lateral pressure. Geomatics, Natural Hazards and Risk, 13(1), 877–907. https://doi.org/10.1080/19475705.2022.2047114
  • Gu, Y., & Zhang, C. (2020). Novel special crack-tip elements for interface crack analysis by an efficient boundary element method. Engineering Fracture Mechanics, 239, 107302. https://doi.org/10.1016/j.engfracmech.2020.107302
  • Jeng, G., & Wexler, A. (1977). Isoparametric, finite element, variational solution of integral equations for three‐dimensional fields. International Journal for Numerical Methods in Engineering, 11(9), 1455–1471. https://doi.org/10.1002/nme.1620110909
  • Korkut, L., & Mikelić, A. (1986). The potential integral for a polynomial distribution over a curved triangular domain. International Journal for Numerical Methods in Engineering, 23(12), 2277–2285. https://doi.org/10.1002/nme.1620231209
  • Lachat, J., & Watson, J. (1976). Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics. International Journal for Numerical Methods in Engineering, 10(5), 991–1005. https://doi.org/10.1002/nme.1620100503
  • Landweber, L. (1951). An iteration formula for Fredholm integral equations of the first kind. American Journal of Mathematics, 73(3), 615–624. https://doi.org/10.2307/2372313
  • Li, H., Mizuta, Y., & Kyoizumi, N. (2001). Parabolic crack-tip element of two-dimensional displacement discontinuity methods with complete analytical integrations realized by algebraic manipulation. The 38th U.S. Symposium on Rock Mechanics (USRMS), Washington, D.C.
  • Li, H., Zheng, L., & Liu, J. (2017). Full-field modeling and analysis of surface deformations induced by gas injections into reservoirs. Journal of Southwest Petroleum University (Science & Technology Edition), 39(3), 147–157. https://doi.org/10.11885/j.issn.1674-5086.2015.03.06.02
  • Li, N., Wang, J., Liu, R., & Tang, X. (2021). Multi-scenario conception on the development of natural gas industry under the goal of carbon neutrality. Natural Gas Industry, 41(2), 183–192. https://doi.org/10.3787/j.issn.1000-0976.2021.02.021
  • Li, Q., Liu, G., Zhang, J., Jia, L., & Liu, H. (2013). Status and suggestion of environmental monitoring for CO2 geological storage. Advances in Earth Science, 28(6), 718–727. https://doi.org/10.11867/j.issn.1001-8166.2013.06.0718
  • Li, S., He, T., & Yin, X. (2010). Introduction of Rock Fracture Mechanics. University of Science and Technology of China Press.
  • Maniatty, A., Zabaras, N., & Stelson, K. (1989). Finite element analysis of some inverse elasticity problems. Journal of Engineering Mechanics, 115(6), 1303–1317. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:6(1303)
  • Pan, Z., Ye, J., Zhou, F., Tan, Y., Connell, L. D., & Fan, J. (2018). CO2 storage in coal to enhance coalbed methane recovery: A review of field experiments in China. International Geology Review, 60(5–6), 754–776. https://doi.org/10.1080/00206814.2017.1373607
  • Rezvan, A., Mohammad, F., & Abolfazl, A. (2021). Development of higher-order displacement discontinuity method to simulate fatigue crack growth in brittle materials. Engineering Fracture Mechanics, 258, 108087. https://doi.org/10.1016/j.engfracmech.2021.108087
  • Rizzo, J. (1967). An integral equation approach to boundary value problems of classical elastostatics. Quarterly of Applied Mathematics, 25(1), 83–95. https://doi.org/10.1090/qam/99907
  • Schnur, D., & Zabaras, N. (1990). Finite element solution of two‐dimensional inverse elastic problems using spatial smoothing. International Journal for Numerical Methods in Engineering, 30(1), 57–75. https://doi.org/10.1002/nme.1620300105
  • Shou, K., & Napier, J. (1999). A two-dimensional linear variation displacement discontinuity method for three-layered elastic media. International Journal of Rock Mechanics and Mining Sciences, 36(6), 719–729. https://doi.org/10.1016/S0148-9062(99)00042-X
  • Sneddon, I. (1951). Fourier transforms. McGraw-Hill.
  • Sun, X., Zhang, L., & Zhang, B. (2021). Research on the coal industry development and transition in China under the background of carbon neutrality. China Mining Magazine, 30(2), 1–6. https://doi.org/10.12075/j.issn.1004-4051.2021.02.034
  • Tarantola, A. (2005). Inverse problem theory and methods for model parameter estimation. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/1.9780898717921
  • Tikhonov, A. (1963). On solving incorrectly posed problems and method of regularization. DokladyAkademiiNauk USSR, 151(3), 501–504.
  • Vasco, D., Ferretti, A., & Novali, F. (2008). Reservoir monitoring and characterization using satellite geodetic data: Interferometric synthetic aperture radar observations from the Krechba field, Algeria. Geophysics, 73(6), WA113–WA122. https://doi.org/10.1190/1.2981184
  • Wang, Y. (2007). Computational methods for inverse problems and their applications. Higher Education Press.
  • Wong, L., & Cui, X. (2021). DDFS3D: A set of open-source codes leveraging hybrid 3D displacement discontinuity method and fictitious stress method to simulate fractures. Engineering Analysis with Boundary Elements, 131, 146–158. https://doi.org/10.1016/j.enganabound.2021.06.006
  • Yao, W., Yu, B., Gao, X., & Gao, Q. (2014). A precise integration boundary element method for solving transient heat conduction problems. International Journal of Heat and Mass Transfer, 78, 883–891. https://doi.org/10.1016/j.ijheatmasstransfer.2014.07.029
  • Zabaras, N., Morellas, V., & Schnur, D. (1989). Spatially regularized solution of inverse elasticity problems using the BEM. Communications in Applied Numerical Methods, 5(8), 547–553. https://doi.org/10.1002/cnm.1630050808
  • Zhang, F., Kassab, A., & Nicholson, D. (1997). A boundary element solution of an inverse elasticity problem and applications to determining residual stress and contact stress. International Journal of Solids and Structures, 34(16), 2073–2086. https://doi.org/10.1016/S0020-7683(96)00152-7
  • Zhang, Q., Cui, Y., & Bu, X. (2011). Analysis of development status of CCS monitoring technology. Shenhua Science and Technology, (2), 77–82.
  • Zheng, L. (2015). Full-field modeling and analysis of surface deformations induced by gas injections into reservoirs. Dalian University of Technology.

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