Abstract
In this paper, we extend the scope of numerical simulations of marine controlled-source electromagnetic (CSEM) fields in a particular case of anisotropy (dipping anisotropy) to the general case of anisotropy by using an adaptive finite element approach. In comparison to a dipping anisotropy case, the first order spatial derivatives of the strike-parallel components arise in the partial differential equations for generally anisotropic media, which cause a non-symmetric linear system of equations for finite element modeling. The adaptive finite element method is employed to obtain numerical solutions on a sequence of refined unstructured triangular meshes, which allows for arbitrary model geometries including bathymetry and dipping layers. Numerical results of a 2D anisotropic model show both anisotropy strike and dipping angles have great influence on the marine CSEM responses.
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Demmel, J. W., Eisenstat, S. C., Gilbert, J. R., Li, X. S., and Liu, J. W. H., 1999. A supernodal approach to sparse partial pivoting. SIAM Journal on Matrix Analysis and Applications, 20(3): 720–755.
Eidesmo, T., Ellingsrud, S., MacGregor, L., Constable, S., Sinha, M., Johansen, S., Kong, F., and Westerdahl, H., 2002. Sea Bed Logging (SBL), a new method for remote and direct identification of hydrocarbon filled layers in deepwater areas. First Break, 20: 144–152.
Key, K., and Weiss, C., 2006. Adaptive finite-element modeling using unstructured grids: the 2D magnetotelluric example. Geophysics, 71(6): G291–G299.
Kong, F., Johnstad, S., Rosten, T., and Westerdrahl, H., 2007, A 2.5D finite-element-modeling difference method for marine CSEM modeling in stratified anisotropic media. Geophysics, 73: F9–F19.
Li, Y., and Dai, S., 2011. Finite element modeling of marine controlled-source electromagnetic responses in two-dimensional dipping anisotropic conductivity structures. Geophysical Journal International, 185(2), 622–636.
Li, Y., and Key, K., 2007. 2D marine controlled-source electromagnetic modeling: Part 1-an adaptive finite-element algorithm. Geophysics, 72(2): WA51–WA62.
Li, Y., and Pek, J., 2008. Adaptive finite element modeling of two-dimensional magnetotelluric field in general anisotropic media. Geophysical Journal International, 175: 942–954.
Loseth, L., and Ursin, B., 2007. Electromagnetic fields in planarly layered anisotropic media. Geophysical Journal International, 170: 44–80.
Ovall, J. S., 2006. Asymptotically exact functional error estimators based on superconvergent gradient recovery. Numerische Mathematik, 102(3): 543–558.
Shewchuk, J. R., 1997. Delaunay refinement algorithms mesh generation. Ph.D thesis. School of Computer Science, Carnegie Mellon University, Pittsburgh, Pennsylvania, Technial Report CMU-CS-97-137.
Tompkins, M., 2005. The role of vertical anisotropy in interpreting marine controlled-source electromagnetic data. 2005 SEG Annual Meeting. November 6–11, 2005, Houston, Texas.
Weitemeyer, K., Constable, S., Key, K., and Behrens, J., 2006. First results form a marine controlled-source electromagnetic survey to detect gas hydrates offshore Oregon. Geophysical Research Letters, 33, L03304, DOI: 10.1029/2005GL024896.
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Li, Y., Luo, M. & Pei, J. Adaptive finite element modeling of marine controlled-source electromagnetic fields in two-dimensional general anisotropic media. J. Ocean Univ. China 12, 1–5 (2013). https://doi.org/10.1007/s11802-013-2110-3
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DOI: https://doi.org/10.1007/s11802-013-2110-3