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카루넨-루베 변환을 이용한 탄성파 그라운드 롤 억제 효과

Effect of Ground Roll Suppression Based on Karhunen-Loeve Transform

  • 장성형 (한국지질자원연구원 석유해저연구본부) ;
  • 이동훈 (한국지질자원연구원 석유해저연구본부)
  • 투고 : 2019.06.28
  • 심사 : 2019.11.19
  • 발행 : 2019.11.30

초록

육상 탄성파 탐사자료에서 쉽게 관찰되는 그라운드 롤은 표면파의 일종으로 대표적인 일관성 잡음이다. 반사파 자료처리 과정에서 그라운드 롤은 잡음에 해당하기 때문에 제거하게 되는데, 반사 신호와 중첩되는 경우 반사파 신호음이 손상되는 문제가 발생한다. 본 연구에서는 반사 신호음 손실을 줄이면서 그라운드 롤을 효과적으로 억제할 수 있는 방법을 찾기 위해 카루넨-루베 변환을 중심으로 살펴보고 그 결과를 분석하였다. 균질 탄성매질에서 구한 인공자료 수치 모형 실험에서 그라운드 롤이 뚜렷하게 감소된 것을 확인할 수 있으나 현장자료 적용실험에서는 띠통과 필터링 결과와 큰 차이점을 발견할 수 없었다. 이러한 현상은 현장자료에서 여러 주파수 대역을 포함하고 있는 그라운드 롤에 대해 선형 수평정렬 모음(Linear moveout gather)을 계산하기 어렵기 때문으로 여길 수 있다. 이에 비해서 특이값 분해 필터링 결과는 그라운드 롤이 상당부분 감소되었음을 확인할 수 있었다. 특이값 분해 필터링은 반사파를 중심으로 정규 수평정렬 모음(Normal moveout gather)을 계산하기가 쉬워 카루넨-루베 변환 필터링 보다 그라운드 롤 억제효과가 큰 것으로 여겨진다.

Ground roll is a surface wave which is usually observed in the land seismic data. It is one of the typical coherent noise. During the reflection data processing, ground roll is removed because it is considered as noise. This removal process often causes the loss of reflection signals if the ground roll overlaps reflection signals. In this study, we look over Karhunen-Loeve Transform (KLT) and analyze its effects to suppress the ground roll appropriately while reducing the reflection loss. Numerical tests in homogeneous elastic media show that the ground roll has been properly rejected. However, the field data application reveals that there is no significant suppression of ground roll when compared to band-pass filtering. This can be considered that it is hard to calculate horizontally aligned gathers in the field data because the ground roll contains a wide range of frequency bands. On the contrary, the result of singular value decomposition (SVD) filtering shows that the ground roll has been significantly reduced. It is thought that the SVD filtering performs better in the ground roll suppression than KLT because it is easy to calculate the horizontally aligned gathers in the SVD filtering.

키워드

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