Nonlinear inversion of two-dimensional SH-wave equation

Journal Article · Tue Jan 01 00:00:00 EST 1991 · Oil Geophysical Prospecting; (China)

OSTI ID:6127422

Hongnian, W; Jing, X ^[1]

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1. Changchun Geology College, Changchun City, Jilin Providence (CN)

In solving nonlinear inversion problem of two-dimensional SH-wave equation with the use of least square method, a general inversion problem of two-dimensional SH-wave equation can be reduced to a physically realizable optimal control problem in model space by introducing the nonlinear functional of SH-wave velocity variation, so that synthetic seismogram of theoretical model is optimally fitted into real seismic record in the sense of least square. The optimal solution is obtained by adopting gradient method. The gradient is calculated from the forward wave field generated by real seismic sources and the backward wave field created by residual seismic data. Consequently, an iterative inversion scheme can be obtained which is similar to that in seismic migration. The inversion results of synthetic seismograms from two different two-dimensional models prove this approach feasible.

• OSTI ID: 6127422
• Journal Information: Oil Geophysical Prospecting; (China), Vol. 26:3; ISSN 1000-7210
• Country of Publication: United States
• Language: Chinese

Related Subjects

02 PETROLEUM
03 NATURAL GAS
NATURAL GAS DEPOSITS
SEISMIC SURVEYS
PETROLEUM DEPOSITS
SEISMIC WAVES
WAVE EQUATIONS
LEAST SQUARE FIT
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
GEOLOGIC DEPOSITS
GEOPHYSICAL SURVEYS
MAXIMUM-LIKELIHOOD FIT
MINERAL RESOURCES
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
RESOURCES
SURVEYS
020200* - Petroleum- Reserves
Geology
& Exploration
030200 - Natural Gas- Reserves
Geology
& Exploration