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A Study on Optimization of the Global-Correlation-Based Objective Function for the Simultaneous-Source Full Waveform Inversion with Streamer-Type Data

스트리머 방식 탐사 자료의 동시 송신원 전파형 역산을 위한 Global correlation 기반 목적함수 최적화 연구

  • Son, Woo-Hyun (Department of Energy Systems Engineering, Seoul National University) ;
  • Pyun, Suk-Joon (Department of Energy Resources Engineering, Inha University) ;
  • Jang, Dong-Hyuk (Department of Energy Resources Engineering, Inha University) ;
  • Park, Yun-Hui (Department of Energy Resources Engineering, Inha University)
  • 손우현 (서울대학교 에너지시스템공학부) ;
  • 편석준 (인하대학교 에너지자원공학과) ;
  • 장동혁 (인하대학교 에너지자원공학과) ;
  • 박윤희 (인하대학교 에너지자원공학과)
  • Received : 2012.06.19
  • Accepted : 2012.07.13
  • Published : 2012.08.31

Abstract

The simultaneous-source full waveform inversion improves the applicability of full waveform inversion by reducing the computational cost. Since this technique adopts simultaneous multi-source for forward modeling, unwanted events remain in the residual seismograms when the receiver geometry of field acquisition is different from that of numerical modeling. As a result, these events impede the convergence of the full waveform inversion. In particular, the streamer-type data with limited offsets is the most difficult data to apply the simultaneous-source technique. To overcome this problem, the global-correlation-based objective function was suggested and it was successfully applied to the simultaneous-source full waveform inversion in time domain. However, this method distorts residual wavefields due to the modified objective function and has a negative influence on the inversion result. In addition, this method has not been applied to the frequency-domain simultaneous-source full waveform inversion. In this paper, we apply a timedamping function to the observed and modeled data, which are used to compute global correlation, to minimize the distortion of residual wavefields. Since the damped wavefields optimize the performance of the global correlation, it mitigates the distortion of the residual wavefields and improves the inversion result. Our algorithm incorporates the globalcorrelation-based full waveform inversion into the frequency domain by back-propagating the time-domain residual wavefields in the frequency domain. Through the numerical examples using the streamer-type data, we show that our inversion algorithm better describes the velocity structure than the conventional global correlation approach does.

Acknowledgement

Supported by : 한국에너지 기술평가원(KETEP)

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