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HP-HGS strategy for inverse AC/DC resistivity logging measurement simulations

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Języki publikacji
EN
Abstrakty
EN
In this paper, we present resistivity-logging-measurement simulation with the use of two types of borehole logging devices: those which operate with zero frequency (direct current, DC) and those with higher frequencies (alternate current, AC). We perform simulations of 3D resistivity measurements in deviated wells, with a sharp angle between the borehole and formation layers. We introduce a hierarchical adaptive genetic strategy hp−HGS interfaced with an adaptive finite element method. We apply a strategy for the solution of the inverse problem, where we identify the resistivities of the formation layers based on a given measurement. We test the strategy on both direct and alternate current cases.
Wydawca
Czasopismo
Rocznik
Strony
629--644
Opis fizyczny
Bibliogr. 25 poz., rys., wykr., tab.
Twórcy
  • AGH University of Science and Technology, Krakow, Poland
autor
  • AGH University of Science and Technology, Krakow, Poland
autor
  • AGH University of Science and Technology, Krakow, Poland
autor
  • University of the Basque Country, Bilbao, Spain
Bibliografia
  • [1] Abubakar A., van den Berg P. M.: Nonlinear inversion in electrode logging in a highly deviated formation with invasion ising an oblique coordinate system. IEEE Trans ctions on Geoscience and Remote Sensing, vol. 38, pp. 25–38, 2000.
  • [2] Abubakar A., Habashy T., Druskin V., Knizhnerman L., Davydycheva S.: A 3D parametric inversion algorithm for triaxial induction data. Geophysics, vol. 71, pp. G1–G9, 2006.
  • [3] Avdeev D. B., Kuvshinov A. V., Pankratov O. V., Newman G. A.: Three-dimensional induction logging problems, Part 1: An integral equation solution and model comparisons.Geophysics, vol. 67, pp. 413–426, 2002.
  • [4] Barabasz B., Migórski S., Schaefer R., Paszyński M.: Multi-deme, twin adaptive strategy hp-HGS. Inverse Problems in Science and Engineering, vol. 19, pp. 3–16, 2011.
  • [5] Davydycheva S., Druskin V., and Habashy T.: An efficient finite-difference scheme for electromagnetic logging in 3D anisotropic inhomogeneous media. Geophysics, vol. 68(5), pp. 1525–1536, 2003.
  • [6] Denkowski Z., Migórski S., Papageorgiou N.: An Introduction to Nonlinear Analysis: Applications. Kluwer Academic/Plenum Publishers, 2003.
  • [7] Denkowski Z., Migórski S., Papageorgiou N.: An Introduction to Nonlinear Analysis: Theory. Kluwer Academic/Plenum Publishers, 2003.
  • [8] Druskin V. L., Knizhnerman L. A., Lee P.: New spectral Lanczos decomposition method for induction modeling in arbitrary 3-D geometry. Geophysics, vol. 64(3), pp. 701–706, 1999.
  • [9] Gajda-Zagórska E., Schaefer R., Smolka M., Paszyński M., Morytko R., and Pardo D.: A hybrid method for inversion of 3D DC resistivity logging measurements. Submitted to Natural Computing, 2013.
  • [10] Holland J. H.: Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control and artificial intelligence. MIT Press, 1992.
  • [11] Lu X., Alumbaugh D. L.: One-dimensional inversion of three-component induction logging in anisotropic media. SEG Expanded Abstract, vol. 20, pp. 376–380, 2001.
  • [12] Newman G. A., Alumbaugh D. L.: Three-dimensional induction logging problems, part 2: A finite-difference solution. Geophysics, vol. 67(2), pp. 484–491, 2002.
  • [13] Pardo D., Calo V. M., Torres-Verdin C., Nam M. J.: Fourier series expansion in a non-orthogonal system of coordinates for simulation of 3D DC borehole resistivity measurements. Computer Methods in Applied Mechanics and Engineering, vol. 197(1–3), pp. 1906–1925, 2008.
  • [14] Pardo D., Demkowicz L., Torres-Verdin C., and Paszynski M.:Simulation of resistivity logging-while-drilling (LWD) measurements using a self-adaptive goal-oriented hp-finite element method. SIAM Journal on Applied Mathematics, vol. 66, pp. 2085–2106, 2006.
  • [15] Pardo D., Demkowicz L., Torres-Verdin C., Paszynski M.: A goal oriented hp-adaptive finite element strategy with electromagnetic applications. Part II: electrodynamics. Computer Methods in Applied Mechanics and Engineering, vol. 196, pp. 3585–3597, 2007.
  • [16] Pardo D., Torres-Verd in C., Demkowicz L.: Simulation of multi-frequency bore-hole resistivity measurements through metal casing using a goal-oriented hp-finite element method. IEEE Transactions on Geosciences and Remote Sensing, vol. 44, pp. 2125–2135, 2006.
  • [17] Pardo D., Torres-Verdin C., Demkowicz L.: Feasibility study for two-dimensional frequency dependent electromagnetic sensing through casing. Geophysics, vol. 72, pp. F111–F118, 2007.
  • [18] Pardo D., Torres-Verdin C., Nam M. J., Paszynski M., Calo V. M.: Fourier series expansion in a non-orthogonal system of coordinates for simulation of 3D alternating current borehole resistivity measurements. Computer Methods in Applied Mechanics and Engineering, vol. 197, pp. 3836–3849, 2008.
  • [19] Pardo D., Torres-Verd in C., Paszynski M.: Simulation of 3D DC borehole resistivity measurements with a goal-oriented hp finite element method. Part II: Through casing resistivity instruments. Computational Geosciences, vol. 12(1), pp. 83–89, 2008.
  • [20] Paszyński M., Pardo D., Torres-Verdżn C., Demkowicz L., V. C.: A parallel direct solver for the self-adaptive hp Finite Element Method. Journal of Parallel and Distributed Computing , vol. 70, pp. 270–281, 2010.
  • [21] Schaefer R., Kołodziej J.: Genetic search reinforced by the population hierarchy. In: Foundations of Genetic Algorithms 7, pp. 383–399. Morgan Kaufman Publisher, 2003.
  • [22] Vose M. D.: The Simple Genetic Algorithm . MIT Press, 1999.
  • [23] Wang T., Fang S.: 3-D electromagnetic anisotropy modeling using finite differences. Geophysics, vol. 66(5), pp. 1386–1398, 2001.
  • [24] Wang T., Signorelli J.: Finite-difference modeling of electromagnetic tool responsefor logging while drilling. Geophysics, vol. 69(1), pp. 152–160, 2004.
  • [25] Zhang J., Mackie R.L., Madden T. R.: 3-D resistivity forward modeling and inversion using conjugate gradients. Geophysics, vol. 60, pp. 1312–1325, 1995
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-713958e3-5c5c-48a6-91c6-09593af4786d
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