Quasi-one-dimensional method for the two-dimensional inverse problem of magnetotelluric sounding

被引：0
作者：
Berezina N.I. [1 ]
Dmitriev V.I. [1 ]
Mershchikova N.A. [1 ]
机构：
[1] Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow
来源：
Computational Mathematics and Modeling | 2011年 / 22卷 / 3期
基金：
俄罗斯基础研究基金会;
关键词：
electromagnetic sounding; inverse problems; mathematical modeling; quasi-layered media;
D O I：
10.1007/s10598-011-9098-6
中图分类号：
学科分类号：
摘要：
The article presents a quasi-one-dimensional method for solving the inverse problem of electromagnetic sounding. The quasi-one-dimensional method is an iteration process that in each iteration solves a parametric one-dimensional inverse problem and a two-dimensional direct problem. The solution results of these problems are applied to update the input values for the parametric one-dimensional inverse problem in the next iteration. The method has been implemented for a two-dimensional inverse problem of magnetotelluric sounding in a quasi-layered medium. © 2011 Springer Science+Business Media, Inc.
引用
收藏
页码：229 / 237
页数：8
相关论文
共 50 条
  • [31] HAAR BASIS METHOD TO SOLVE SOME INVERSE PROBLEMS FOR TWO-DIMENSIONAL PARABOLIC AND HYPERBOLIC EQUATIONS
    Pourgholi, R.
    Foadian, S.
    Esfahani, A.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2013, 3 (01): : 10 - 32
  • [32] A general inverse problem for a memory kernel in one-dimensional viscoelasticity
    Janno, J
    von Wolfersdorf, L
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2002, 21 (02): : 465 - 483
  • [33] Comparing one- and two-dimensional EMI conductivity inverse modeling procedures for characterizing a two-layered soil
    Saey, Timothy
    De Smedt, Philippe
    Delefortrie, Samuel
    de Vijver, Ellen Van
    Van Meirvenne, Marc
    GEODERMA, 2015, 241 : 12 - 23
  • [34] A Special Grid for the Numerical Analysis of the Integral Equation Method in the Magnetotelluric Sounding Problem
    Barashkov I.S.
    Computational Mathematics and Modeling, 2021, 32 (3) : 305 - 318
  • [35] Generative Adversarial Networks for Inverse Design of Two-Dimensional Spinodoid Metamaterials
    Liu, Sheng
    Acar, Pinar
    AIAA JOURNAL, 2024, 62 (07) : 2433 - 2442
  • [36] "Fast" Solution of the Three-Dimensional Inverse Problem of Quasi-Static Elastography with the Help of the Small Parameter Method
    Leonov, A. S.
    Nefedov, N. N.
    Sharov, A. N.
    Yagola, A. G.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2023, 63 (03) : 425 - 440
  • [37] “Fast” Solution of the Three-Dimensional Inverse Problem of Quasi-Static Elastography with the Help of the Small Parameter Method
    A. S. Leonov
    N. N. Nefedov
    A. N. Sharov
    A. G. Yagola
    Computational Mathematics and Mathematical Physics, 2023, 63 : 425 - 440
  • [38] Program Shell of Analysis of One-dimensional and Two-dimensional Problems of Nonlinear Elasticity Theory
    Karyakin, Mikhail
    Zherebko, Artem
    PROCEEDINGS OF THE 11TH INTERNATIONAL CONFERENCE ON COMPUTER MODELING AND SIMULATION (ICCMS 2019) AND 8TH INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING AND APPLICATIONS (ICICA 2019), 2019, : 96 - 99
  • [39] Adding Noise During Training as a Method to Increase Resilience of Neural Network Solution of Inverse Problems: Test on the Data of Magnetotelluric Sounding Problem
    Isaev, Igor
    Dolenko, Sergey
    ADVANCES IN NEURAL COMPUTATION, MACHINE LEARNING, AND COGNITIVE RESEARCH, 2018, 736 : 9 - 16
  • [40] Exact Solution of the Inverse Scalar Radiative Transfer Problem in One-Dimensional Atmospheres
    Nikoghossian, A. G.
    ASTROPHYSICS, 2019, 62 (03) : 434 - 438
12345