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http://dx.doi.org/10.7582/GGE.2011.14.3.220

Application of Displacement-Vector Objective Function for Frequency-domain Elastic Full Waveform Inversion  

Kwak, Sang-Min (Department of Energy Systems Engineering, Seoul National University)
Pyun, Suk-Joon (Department of Energy Resources Engineering, Inha University)
Min, Dong-Joo (Department of Energy Systems Engineering, Seoul National University)
Publication Information
Geophysics and Geophysical Exploration / v.14, no.3, 2011 , pp. 220-226 More about this Journal
Abstract
In the elastic wave equations, both horizontal and vertical displacements are defined. Since we can measure both the horizontal and vertical displacements in field acquisition, these displacements compose a displacement vector. In this study, we propose a frequency-domain elastic waveform inversion technique taking advantage of the magnitudes of displacement vectors to define objective function. When we apply this displacement-vector objective function to the frequency-domain waveform inversion, the inversion process naturally incorporates the back-propagation algorithm. Through the inversion examples with the Marmousi model and the SEG/EAGE salt model, we could note that the RMS error of the solution obtained by our algorithm decreased more stably than that of the conventional method. Particularly, the density of the Marmousi model and the low-velocity sub-salt zone of the SEG/EAGE salt model were successfully recovered. Since the gradient direction obtained from the proposed objective function is numerically unstable, we need additional study to stabilize the gradient direction. In order to perform the waveform inversion using the displacementvector objective function, it is necessary to acquire multi-component data. Hence, more rigorous study should be continued for the multi-component land acquisition or OBC (Ocean Bottom Cable) multi-component survey.
Keywords
waveform inversion; elastic wave equations; frequency domain; objective function; displacement vector;
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