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Efficient calculation of a partial-derivative wavefield using reciprocity for seismic imaging and inversion

Changsoo Shin, Kwangjin Yoon, Kurt J. Marfurt, Keunpil Park, Dongwoo Yang, Harry Y. Lim, Seung-Hwan Chung and Sungryul Shin
Efficient calculation of a partial-derivative wavefield using reciprocity for seismic imaging and inversion
Geophysics (December 2001) 66 (6): 1856-1863

Abstract

Linearized inversion of surface seismic data for a model of the earth's subsurface requires estimating the sensitivity of the seismic response to perturbations in the earth's subsurface. This sensitivity, or Jacobian, matrix is usually quite expensive to estimate for all but the simplest model parameterizations. We exploit the numerical structure of the finite-element method, modern sparse matrix technology, and source-receiver reciprocity to develop an algorithm that explicitly calculates the Jacobian matrix at only the cost of a forward model solution. Furthermore, we show that we can achieve improved subsurface images using only one inversion iteration through proper scaling of the image by a diagonal approximation of the Hessian matrix, as predicted by the classical Gauss-Newton method. Our method is applicable to the full suite of wave scattering problems amenable to finite-element forward modeling. We demonstrate our method through some simple 2-D synthetic examples.


ISSN: 0016-8033
EISSN: 1942-2156
Coden: GPYSA7
Serial Title: Geophysics
Serial Volume: 66
Serial Issue: 6
Title: Efficient calculation of a partial-derivative wavefield using reciprocity for seismic imaging and inversion
Affiliation: Seoul National University, School of Civil, Urban and Geosystem Engineering, Seoul, South Korea
Pages: 1856-1863
Published: 200112
Text Language: English
Publisher: Society of Exploration Geophysicists, Tulsa, OK, United States
References: 24
Accession Number: 2002-020493
Categories: Applied geophysics
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus. incl. 1 table, sects.
Secondary Affiliation: Shin's Imaging Technology, KOR, South KoreaUniversity of Houston, USA, United StatesKorea Institute of Geology, Mining & Materials, KOR, South KoreaKorea Maritime University, KOR, South Korea
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute.
Update Code: 200208
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