Three-dimensional inversion of large-scale EarthScope magnetotelluric data based on the integral equation method: Geoelectrical imaging of the Yellowstone conductive mantle plume

2011 ◽  
Vol 38 (8) ◽  
pp. n/a-n/a ◽  
Author(s):  
Michael S. Zhdanov ◽  
Robert B. Smith ◽  
Alexander Gribenko ◽  
Martin Cuma ◽  
Marie Green
Keyword(s):  
Integral Equation ◽  
Mantle Plume ◽  
Large Scale ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Equation Method ◽  
Magnetotelluric Data

scholarly journals On the applicability of a renormalized Born series for seismic wavefield modelling in strongly scattering media

2019 ◽  
Vol 17 (2) ◽  
pp. 277-299 ◽  
Author(s):  
Xingguo Huang ◽  
Morten Jakobsen ◽  
Ru-Shan Wu
Keyword(s):  
Integral Equation ◽  
Frequency Domain ◽  
Large Scale ◽  
Integral Equation Method ◽  
Equation Method ◽  
Scattering Media ◽  
Matrix Vector Multiplication ◽  
Born Series ◽  
And Inversion ◽  
Matrix Vector

Abstract Scattering theory is the basis for various seismic modeling and inversion methods. Conventionally, the Born series suffers from an assumption of a weak scattering and may face a convergence problem. We present an application of a modified Born series, referred to as the convergent Born series (CBS), to frequency-domain seismic wave modeling. The renormalization interpretation of the CBS from the renormalization group prospective is described. Further, we present comparisons of frequency-domain wavefields using the reference full integral equation method with that using the convergent Born series, proving that both of the convergent Born series can converge absolutely in strongly scattering media. Another attractive feature is that the Fast Fourier Transform is employed for efficient implementations of matrix–vector multiplication, which is practical for large-scale seismic problems. By comparing it with the full integral equation method, we have verified that the CBS can provide reliable and accurate results in strongly scattering media.

A Hybrid Integral Equation Method for Wave Forces on Three-Dimensional Offshore Structures

1987 ◽  
Vol 109 (3) ◽  
pp. 229-236 ◽  
Author(s):  
M. M. F. Yuen ◽  
F. P. Chau
Keyword(s):  
Integral Equation ◽  
Velocity Potential ◽  
Three Dimensional ◽  
Integral Equation Method ◽  
Offshore Structures ◽  
Equation Method ◽  
Wave Forces ◽  
Test Cases ◽  
Outer Domain ◽  
Hybrid Integral

Wave forces on arbitrary-shaped three-dimensional offshore structures are analyzed by the proposed hybrid integral equation method. Eigenfunction expansion is used to represent velocity potential in the outer domain, while a set of integral equations is developed for the inner domain encompassing the structure. A floating dock and a step cylinder are used as test cases showing the validity of the method.

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