3D acoustic waveform inversion in the Laplace domain using an iterative solver

2010 ◽  
Author(s):  
Sukjoon Pyun ◽  
Woohyun Son ◽  
Changsoo Shin
Keyword(s):  
Waveform Inversion ◽  
Iterative Solver ◽  
Laplace Domain

3D acoustic waveform inversion in the Laplace domain using an iterative solver

2010 ◽  
Vol 59 (3) ◽  
pp. 386-399 ◽  
Author(s):  
Sukjoon Pyun ◽  
Woohyun Son ◽  
Changsoo Shin
Keyword(s):  
Waveform Inversion ◽  
Iterative Solver ◽  
Laplace Domain

2D Laplace-Domain Waveform Inversion of Field Data Using a Power Objective Function

2013 ◽  
Vol 170 (12) ◽  
pp. 2075-2085 ◽  
Author(s):  
Eunjin Park ◽  
Wansoo Ha ◽  
Wookeen Chung ◽  
Changsoo Shin ◽  
Dong-Joo Min
Keyword(s):  
Objective Function ◽  
Field Data ◽  
Waveform Inversion ◽  
Laplace Domain

Laplace-domain full-waveform inversion of seismic data lacking low-frequency information

Geophysics ◽  
2012 ◽  
Vol 77 (5) ◽  
pp. R199-R206 ◽  
Author(s):  
Wansoo Ha ◽  
Changsoo Shin
Keyword(s):  
Seismic Data ◽  
Field Data ◽  
Waveform Inversion ◽  
Low Frequency ◽  
Single Frequency ◽  
Frequency Content ◽  
Laplace Domain ◽  
Frequency Information ◽  
Velocity Models ◽  
Gaussian Source

The lack of the low-frequency information in field data prohibits the time- or frequency-domain waveform inversions from recovering large-scale background velocity models. On the other hand, Laplace-domain waveform inversion is less sensitive to the lack of the low frequencies than conventional inversions. In theory, frequency filtering of the seismic signal in the time domain is equivalent to a constant multiplication of the wavefield in the Laplace domain. Because the constant can be retrieved using the source estimation process, the frequency content of the seismic data does not affect the gradient direction of the Laplace-domain waveform inversion. We obtained inversion results of the frequency-filtered field data acquired in the Gulf of Mexico and two synthetic data sets obtained using a first-derivative Gaussian source wavelet and a single-frequency causal sine function. They demonstrated that Laplace-domain inversion yielded consistent results regardless of the frequency content within the seismic data.

scholarly journals Application of Laplace Domain Waveform Inversion to Cross-Hole Radar Data

2019 ◽  
Vol 11 (16) ◽  
pp. 1839
Author(s):  
Xu Meng ◽  
Sixin Liu ◽  
Yi Xu ◽  
Lei Fu
Keyword(s):  
Time Domain ◽  
Waveform Inversion ◽  
Radar Data ◽  
Dominant Frequency ◽  
Data Set ◽  
Laplace Domain ◽  
Full Waveform ◽  
Highly Nonlinear ◽  
The Time Domain ◽  
Ground Penetrating

Full waveform inversion (FWI) can yield high resolution images and has been applied in Ground Penetrating Radar (GPR) for around 20 years. However, appropriate selection of the initial models is important in FWI because such an inversion is highly nonlinear. The conventional way to obtain the initial models for GPR FWI is ray-based tomogram inversion which suffers from several inherent shortcomings. In this paper, we develop a Laplace domain waveform inversion to obtain initial models for the time domain FWI. The gradient expression of the Laplace domain waveform inversion is deduced via the derivation of a logarithmic object function. Permittivity and conductivity are updated by using the conjugate gradient method. Using synthetic examples, we found that the value of the damping constant in the inversion cannot be too large or too small compared to the dominant frequency of the radar data. The synthetic examples demonstrate that the Laplace domain waveform inversion provide slightly better initial models for the time domain FWI than the ray-based inversion. Finally, we successfully applied the algorithm to one field data set, and the inverted results of the Laplace-based FWI show more details than that of the ray-based FWI.

Laplace-domain full waveform inversion using irregular finite elements for complex foothill environments

2013 ◽  
Vol 96 ◽  
pp. 67-76 ◽  
Author(s):  
Jungkyun Shin ◽  
Youngseo Kim ◽  
Changsoo Shin ◽  
Henri Calandra
Keyword(s):  
Finite Elements ◽  
Waveform Inversion ◽  
Full Waveform Inversion ◽  
Laplace Domain ◽  
Full Waveform

Recovering long wavelength of the velocity model using waveform inversion in the Laplace domain: Application to field data

2011 ◽  
Author(s):  
Henri Calandra ◽  
Christian Rivera ◽  
Changsoo Shin ◽  
Sukjoon Pyun ◽  
Youngseo Kim ◽  
...  
Keyword(s):  
Field Data ◽  
Waveform Inversion ◽  
Velocity Model ◽  
Laplace Domain ◽  
Long Wavelength
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