Time Domain Waveform Inversion for the Q Model Based on the First-Order Viscoacoustic Wave Equations

Joint Authors

Gao, Jinghuai
Zhang, Guowei

Source

Mathematical Problems in Engineering

Issue

Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2016-06-08

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Civil Engineering

Abstract EN

Propagating seismic waves are dispersed and attenuated in the subsurface due to the conversion of elastic energy into heat.

The absorptive property of a medium can be described by the quality factor Q .

In this study, the first-order pressure-velocity viscoacoustic wave equations based on the standard linear solid model are used to incorporate the effect of Q .

For the Q model inversion, an iterative procedure is then proposed by minimizing an objective function that measures the misfit energy between the observed data and the modeled data.

The adjoint method is applied to derive the gradients of the objective function with respect to the model parameters, that is, bulk modulus, density, and Q -related parameter τ .

Numerical tests on the crosswell recording geometry indicate the feasibility of the proposed approach for the Q anomaly estimation.

American Psychological Association (APA)

Zhang, Guowei& Gao, Jinghuai. 2016. Time Domain Waveform Inversion for the Q Model Based on the First-Order Viscoacoustic Wave Equations. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112219

Modern Language Association (MLA)

Zhang, Guowei& Gao, Jinghuai. Time Domain Waveform Inversion for the Q Model Based on the First-Order Viscoacoustic Wave Equations. Mathematical Problems in Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1112219

American Medical Association (AMA)

Zhang, Guowei& Gao, Jinghuai. Time Domain Waveform Inversion for the Q Model Based on the First-Order Viscoacoustic Wave Equations. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112219

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1112219