Methods and Applications of Analysis

Application of Optimal Basis Functions in Full Waveform Inversion\

Ping Sheng, Gang Sun, and Qianshun Chang

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Abstract

In full waveform inversion, the lack of low frequency information in the inversion results has been a long standing problem. In this work, we show that by using mixed basis functions this problem can be resolved satisfactorily. Examples of full waveform inversion on layered systems, using surface reflection data from point sources, have shown excellent results nearly indistinguishable from the target model. Our method is robust against additive white noise (up to 20\% of the signal) and can resolve layers that are comparable to or smaller than a wavelength in thickness. Physical reason for the success of our approach is illustrated through a simple example.

Article information

Source
Methods Appl. Anal., Volume 11, Number 3 (2004), 345-352.

Dates
First available in Project Euclid: 11 May 2006

Permanent link to this document
https://projecteuclid.org/euclid.maa/1147353058

Mathematical Reviews number (MathSciNet)
MR2214679

Zentralblatt MATH identifier
1091.35548

Citation

Sheng, Ping; Sun, Gang; Chang, Qianshun. Application of Optimal Basis Functions in Full Waveform Inversion\. Methods Appl. Anal. 11 (2004), no. 3, 345--352. https://projecteuclid.org/euclid.maa/1147353058


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