Forward Modeling of Frequency-domain Helicopter-borne Electromagnetic Data using an Improved Finite Difference Method

Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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JR_JMAE-13-4_010

تاریخ نمایه سازی: 12 بهمن 1401

Abstract:

In this work, we simulate the frequency-domain helicopter-borne electromagnetic (HEM) data over the two-dimensional (۲D) and three-dimensional (۳D) earth models. In order to achieve this aim, the vector Helmholtz equation is used to avoid the convergence problems in Maxwell’s equations, and the corresponding fields are divided into primary and secondary components. We use the finite difference method on a staggered grid to discretize the equations, which can be performed in two ways including the conventional and improved finite difference methods. The former is very complex in terms of programming, which causes errors. Furthermore, it requires different programming loops over each point of the grid, which increases the program’s running time. The latter is the improved finite difference method (IFDM), in which pre-made derivative matrices can be used. These pre-made derivative matrices can be incorporated into the derivative equations and convert them directly from the derivative form to the matrix form. After having the matrix form system of linear equations, Ax = b is solved by the quasi-minimal residual (QMR). IFDM does not have the complexities of the conventional method, and requires much less execution time to form a stiffness or coefficient matrix. Moreover, its programing process is simple. Our code uses parallel computing, which gives us the ability to calculate the fields for all transmitter positions at the same time, and because we use sparse matrices thorough the code memory space, requires to store the files is less than ۱۰۰ MB compared with normal matrices that require more than ۱۵ GB space in the same grid size. We implement IFDM to simulate the earth’s responses. In order to validate, we compare our results with various models including the ۳D and ۲D models, and anisotropic conductivity. The results show a good fit in comparison with the FDM solution of Newman and the appropriate fit integral equations solution of Avdeev that is because of the different solution methods.

Authors

Saeed Nazari

School of Mining, Petroleum and Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran

Alireza Arab Amiri

School of Mining, Petroleum and Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran

Abolghasem Kamkar Rouhani

School of Mining, Petroleum and Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran

Fereydoun Sharifi

School of Mining, Petroleum and Geophysics Engineering, Shahrood University of Technology, Shahrood, Iran

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  • . Peltoniemi, M. (۱۹۹۸). Depth of penetration of frequency-domain airborne ...
  • . Tan, K., Munday, T., Halas, L., and Cahill, K. ...
  • . Siemon, B., Steuer, A., Ullmann, A., Vasterling, M., and ...
  • . Baranwal, V. C., Brönner, M., Rønning, J. S., Elvebakk, ...
  • . Huang, H. and Fraser, D.C. (۱۹۹۶). The differential parameter ...
  • . Farquharson, C.G., Oldenburg, D.W., and Routh, P.S. (۲۰۰۳). Simultaneous ...
  • . Yin, C. and Hodges, G. (۲۰۰۷). Simulated annealing for ...
  • . Arab-Amiri, A.R., Moradzadeh, A., Fathianpour, N., and Siemon, B. ...
  • . Siemon, B. (۲۰۱۲). Accurate ۱D forward and inverse modeling ...
  • . Lin, C., Fiandaca, G., Auken, E., Couto, M. A., ...
  • One-Dimensional Modeling of Helicopter-Borne Electromagnetic Data Using Marquardt-Levenberg Including Backtracking-Armijo Line Search Strategy [مقاله ژورنالی]
  • . Sharifi, F., Arab-Amiri, A.R., Kamkar-Rouhani, A., and Börner, R.U. ...
  • . Mitsuhata, Y. (۲۰۰۰). ۲-D electromagnetic modeling by finite-element method ...
  • . Mitsuhata, Y., Uchida, T., and Amano, H. (۲۰۰۲). ۲.۵-D ...
  • . Abubakar, A., Habashy, T.M., Druskin, V.L., Knizhnerman, L., and ...
  • . Ramananjaona, C. and MacGregor, L. (۲۰۱۰, November). ۲.۵ D ...
  • . Key, K. and Ovall, J. (۲۰۱۱). A parallel goal-oriented ...
  • . Streich, R., Becken, M., and Ritter, O. (۲۰۱۱). ۲.۵ ...
  • . Li, W.B., Zeng, Z.F., Li, J., Chen, X., Wang, ...
  • . Boesen, T., Auken, E., Christiansen, A. V., Fiandaca, G., ...
  • . Cheng, J., Xue, J., Zhou, J., Dong, Y., and ...
  • . Ghari, H.A., Voge, M., Bastani, M., Pfaffhuber, A.A., and ...
  • . Idesman, A. and Dey, B. (۲۰۲۰). A new numerical ...
  • . Li, G., Duan, S., Cai, H., Han, B., and ...
  • . Avdeev, D.B. (۲۰۰۵). Three-dimensional electromagnetic modelling and inversion from ...
  • . Zhdanov, M.S. (۲۰۰۹). Geophysical electromagnetic theory and methods: Elsevier ...
  • . Börner, R.U. (۲۰۱۰). Numerical modeling in geo-electromagnetics: Advances and ...
  • . Koldan, J. (۲۰۱۳). Numerical solution of ۳-D electromagnetic problems ...
  • . Scheunert, M. (۲۰۱۵). ۳-D inversion of helicopter-borne electromagnetic data. ...
  • . Dunham, M.W., Ansari, S., and Farquharson, C.G. (۲۰۱۸). Application ...
  • . Coggon, J.H. (۱۹۷۱). Electromagnetic and electrical modeling by the ...
  • . Xiong, Z. (۱۹۹۲). Electromagnetic modeling of ۳-D structures by ...
  • . Newman, Gregory A., and David L. Alumbaugh (۱۹۹۵). “Frequency-domain ...
  • . Habashy, T.M., Groom, R.W., and Spies, B.R. (۱۹۹۳). Beyond ...
  • . Traynin, P., Zhdanov, M.S., Nyquist, J., Beard, L., and ...
  • . Avdeev, D.B., Kuvshinov, A.V., Pankratov, O.V., and Newman, G.A. ...
  • . Zhdanov, M. and Hursan, G. (۲۰۰۰). ۳D electromagnetic inversion ...
  • . Pfaffhuber, A.A., Hendricks, S., and Kvistedal, Y.A. (۲۰۱۲). Progressing ...
  • . Cox, L.H., Wilson, G.A., and M.S. Zhdanov (۲۰۱۰): ۳D ...
  • . Scheunert, M., Ullmann, A., Afanasjew, M., Börner, R.U., Siemon, ...
  • . Jang, H., Cho, S.O., Kim, B., Kim, H. J., ...
  • . Yin, C., Zhang, B., Liu, Y., and Cai, J. ...
  • . Li, J., Farquharson, C. G., and Hu, X. (۲۰۱۷). ...
  • . Castillo Reyes, O. (۲۰۱۷). Edge-elements formulation of ۳D CSEM ...
  • . Huo, Z., Zeng, Z., Li, J., Li, W., Zhang, ...
  • . Haber, E. (۲۰۱۴). Computational methods in geophysical electromagnetics. Society ...
  • . Jahandari, H. and Farquharson, C.G. (۲۰۱۵). Finite-volume modelling of ...
  • . Jahandari, H., Ansari, S., and Farquharson, C.G. (۲۰۱۷). Comparison ...
  • . Lu, X. and Farquharson, C.G. (۲۰۲۰). ۳D finite-volume time-domain ...
  • . Jahandari, H. and Bihlo, A. (۲۰۲۱). Forward modelling of ...
  • . Farquharson, C.G. and Oldenburg, D. (۲۰۰۲). Chapter ۱ An ...
  • . Zhdanov M. S., F.A. Alfouzan, L. Cox, A. Alotaibi,, ...
  • . Yoon, D., Zhdanov, M.S., Mattsson, J., Cai, H., and ...
  • . Sarakorn, W., and Vachiratienchai, C. (۲۰۱۸). Hybrid finite difference–finite ...
  • . Varilsuha, D. and Candansayar, M.E. (۲۰۱۸). ۳D magnetotelluric modeling ...
  • . van’t Hof, B. and Vuik, M.J. (۲۰۱۹). Symmetry-preserving finite-difference ...
  • . Yee, K. (۱۹۶۶). Numerical solution of initial boundary value ...
  • . Gilles, L., Hagness, S.C., and Vázquez, L. (۲۰۰۰). Comparison ...
  • . Rumpf, R.C. (۲۰۱۲). Simple implementation of arbitrarily shaped total-field/scattered-field ...
  • . Rumpf, R. C., Garcia, C. R., Berry, E. A., ...
  • . Ward, Stanley H. and Gerald W. Hohmann (۱۹۸۸). “Electromagnetic ...
  • . Lowry, T., M. B. Allen, and P. N. Shive ...
  • Sarkar TK. (۱۹۸۷) On the application of the generalized biconjugate ...
  • . Smith CF, Peterson AF, and Mittra R, (۱۹۹۰): The ...
  • . Wang, C.F. and Jin, J.M. (۱۹۹۸): Simple and efficient ...
  • . De Gersem H., Lahaye D, Vandewalle S, and Hameyer ...
  • . Alumbaugh, D. L., G.A. Newman, L. Prevost, and J.N. ...
  • . Siemon, Bernhard, Anders Vest Christiansen, and Esben Auken (۲۰۰۹). ...
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