+ Site Statistics
+ Search Articles
+ PDF Full Text Service
How our service works
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ Translate
+ Recently Requested

Nonlinear multifrequency wave equation inversion

Nonlinear multifrequency wave equation inversion

SEG Annual Meeting Expanded Technical Program Abstracts with Biographies 64: 988-991

A method of nonlinear wave equation inversion using multiple frequencies is developed. The method sequentially inverts low to high signal frequencies of the wave field. First, the low frequencies are used to reconstruct the low spatial wavenumbers of the heterogeneities. Then, higher frequencies are used to reconstruct higher spatial wavenumbers. A subspace method is used to minimize the misfit between the observed total wave field and the corresponding theoretical synthetic wave field. The gradient of the misfit function, the rate of change of the gradient, and a regularization factor are used to find the optimum search direction to the solution of inverse problem. It is not necessary to assume weak scattering, e.g., Born or Rytov, nor is it necessary to remove the incident field before inversion as required in linear diffraction tomography. These advantages make this method more flexible than linear diffraction tomography. Tests on synthetic data show that the method is effective in reconstructing velocities with up to 15% variation and that the inversion is stable and more precise than single frequency wave equation methods. These advantages are available with not much penalty of computation effort or time.

Accession: 019543238

Download citation: RISBibTeXText

Related references

Wave-equation traveltime inversion with multifrequency bands: Synthetic and land data examples. Geophysics 83(6): B305-B315, 2018

Nonlinear inversion of two-dimensional SH wave equation. Shiyou Diqiu Wuli Kantan = Oil Geophysical Prospecting 26(3): 305-318, 1991

Nonlinear process control of wave-equation inversion and its application in the detection of gas. Geophysics 72(1): R9-R18, 2007

Nonlinear inversion of the integral equation to estimate ocean wave spectra from HF radar. Radio Science 31(1): 25-39, 1996

Nonlinear inversion of the SH wave equation in a half-space for density and shear modulus determination. Journal of the Acoustical Society of America 103(2): 850-0, 1998

A computational study on full-wave inversion based on the acoustic wave-equation; 1, Evaluation of inversion methods. Butsuri-Tansa = Geophysical Exploration 50(3): 208-218, 1997

Wave equation migration deduced as an inversion method from the wave equation. SEG Abstracts 1983(1): 392-393, 1983

Deriving the New Traveling Wave Solutions for the Nonlinear Dispersive Equation, KdV-ZK Equation and Complex Coupled KdV System Using Extended Simplest Equation Method. Communications in Theoretical Physics 64(4): 379-390, 2015

Multifrequency parametric resonance in a non-linear wave equation. Izvestiya: Mathematics 66(6): 1131-1145, 2002

Periodic Wave, Solitary Wave and Compacton Solutions of a Nonlinear Wave Equation with Degenerate Dispersion. Communications in Theoretical Physics 63(1): 57-62, 2015

Integrated inversion using combined wave-equation tomography and full waveform inversion. Geophysical Journal International 198(1): 430-446, 2014

Wave-equation reflection traveltime inversion with dynamic warping and full-waveform inversion. Geophysics 78(6): R223-R233, 2013

New exact travelling wave solutions of nonlinear evolution equation using a sub-equation. Chaos, Solitons and Fractals 39(2): 873-881, 2009

Nonlinear wave solutions for an integrable sixth-order nonlinear Schrdinger equation in an optical fiber. Optik - International Journal for Light and Electron Optics, 2017

Time-Domain Finite-Element Wave Form Inversion Of Acoustic Wave Equation. Journal of Computational Acoustics 12(3): 387-396, 2004