Estimation of reliability of seismic and electromagnetic monitoring in seismic active areas by diffraction tomography

Abstract. This paper presents the algorithms and results of the numerical simulation of the solution of a 2-D inverse problem on the restoration of seismic parameters and electrical conductivity of local inhomogeneities by the diffraction tomography method based upon the first order Born approximation. The direct problems for the Lame and Maxwell equations are solved by the finite difference method. Restoration of inhomogeneities which are not very weak is implemented with the use of a small number of receivers (source-receiver pairs).

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Estimate of the precision of determination of elastic parameters by the diffraction tomography method with the use of the finite-difference method (the SV-problem)

Journal of Mathematical Sciences ◽

10.1007/bf02673853 ◽

2000 ◽

Vol 102 (4) ◽

pp. 4220-4231 ◽

Cited By ~ 1

Author(s):

Yu. V. Kiselev ◽

V. N. Troyan

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffraction Tomography ◽

Elastic Parameters ◽

The Finite Difference Method ◽

Tomography Method

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Restoration of seismic parameters and electrical conductivity by the diffraction tomography method

Physics and Chemistry of the Earth Parts A/B/C ◽

10.1016/j.pce.2006.02.015 ◽

2006 ◽

Vol 31 (4-9) ◽

pp. 268-272

Author(s):

V. Troyan ◽

M. Hayakawa ◽

Yu. Kiselev

Keyword(s):

Electrical Conductivity ◽

Diffraction Tomography ◽

Seismic Parameters ◽

Tomography Method

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Image Reconstruction with Acoustic Measurement Using Distorted Born Iteration Method

Ultrasonic Imaging ◽

10.1177/016173469601800204 ◽

1996 ◽

Vol 18 (2) ◽

pp. 140-156 ◽

Cited By ~ 9

Author(s):

C. Lu ◽

J. Lin ◽

W. Chew ◽

G. Otto

Keyword(s):

Cross Section ◽

Born Approximation ◽

Measurement Data ◽

Arbitrary Cross Section ◽

Ultrasonic Measurement ◽

Diffraction Tomography ◽

Two Dimensional ◽

Scattering Problems ◽

First Order ◽

Scattered Fields

The distorted Born iterative method (DBIM) is applied to solve electromagnetics and ultrasonics inverse scattering problems. First, we use the DBIM to process the data, which are the scattered fields from two-dimensional cylinders with arbitrary cross section. From this simulation, we confirmed that the first-order Born approximation can be applied to larger objects as long as the phase change of a wave passing through the object due to its presence is smaller than a limit. Then we applied DBIM to process the ultrasonic measurement data. Images for a balloon and an egg that are immersed in water have been reconstructed and compared with those from the first-order diffraction tomography (DT).

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Diffraction Tomography Using Born Approximation

American Journal of Electronics & Communication ◽

10.15864/ajec.1101 ◽

2020 ◽

Vol 1 (1) ◽

Keyword(s):

Born Approximation ◽

Diffraction Tomography

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The Use of Vector Finite Element Method and Mixed Vector Finite Element Method for Solving First Order System of Maxwell Equations

2006 8th International Conference on Actual Problems of Electronic Instrument Engineering ◽

10.1109/apeie.2006.4292406 ◽

2006 ◽

Author(s):

O.V. Nechaeva ◽

E.P. Shurina

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maxwell Equations ◽

Order System ◽

First Order ◽

Vector Finite Element Method ◽

Vector Finite Element ◽

Element Method

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Numerical Simulation Studies of the Kinetics of First Order Phase Transitions

Dynamics of Ordering Processes in Condensed Matter ◽

10.1007/978-1-4613-1019-8_15 ◽

1988 ◽

pp. 101-110 ◽

Cited By ~ 2

Author(s):

J. D. Gunton ◽

E. T. Gawlinski ◽

K. Kaski

Keyword(s):

Numerical Simulation ◽

Phase Transitions ◽

Simulation Studies ◽

First Order ◽

First Order Phase ◽

Kinetics Of

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Calculation of Maxwell’s Equations Using MATLAB

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH ◽

10.47191/ijmcr/v9i10.02 ◽

2021 ◽

Vol 09 (10) ◽

Author(s):

Subhi Abdalazim Aljily Osman ◽

Keyword(s):

Mathematical Method ◽

Analytical Solution ◽

Maxwell’S Equations ◽

Maxwell Equations ◽

Maxwell's Equations ◽

System Of Equations ◽

First Order ◽

Mathematical Programs ◽

Mathematical Problems ◽

Micro Radio

Maxwell’s equations describe electromagnetic Phenomena. This includes micro- , radio and radar waves .The Maxwell equations are discussed in more detail Faraday's and Amperes laws constitute a first - order hyperbolic system of equations .Matlab is one of the most famous mathematical programs in calculating mathematical problems .The aims of this study is to calculate Maxwell’s equations using Matlab .We followed the applied mathematical method by using Matlab .We found that the solution of Matlab is more accuracy and speed than the analytical solution.

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