CAJ | 학술논문

利用高分辨率稀疏Radon变换和正交变换两种原子构成过完备的信号重构空间，使得地震信号在此高阶高分辨率稀疏Radon变换域中能够被稀疏表示；结合基于过完备字典的信号稀疏表示，提出高分辨率稀疏Radon变换和正交多项式变换结合的高阶稀疏Radon变换( HOSRT)。所提方法通过将地震数据和预测多次波变换到高阶稀疏Radon空间，用完备的高阶稀疏Radon变换原子稀疏表示，并在该域进行自适应相减，能够有效分离一次波和多次波；而且由于构造的完备空间克服了正交性的问题，压制过程中降低了对一次波的损伤。对合成地震记录和实际资料的处理结果表明该方法能够提高多次波的压制效果，同时还可以较好地保留一次波振幅AVO(振幅随偏移别距的变化)特性。
이용고분변솔희소Radon변환화정교변환량충원자구성과완비적신호중구공간，사득지진신호재차고계고분변솔희소Radon변환역중능구피희소표시；결합기우과완비자전적신호희소표시，제출고분변솔희소Radon변환화정교다항식변환결합적고계희소Radon변환( HOSRT)。소제방법통과장지진수거화예측다차파변환도고계희소Radon공간，용완비적고계희소Radon변환원자희소표시，병재해역진행자괄응상감，능구유효분리일차파화다차파；이차유우구조적완비공간극복료정교성적문제，압제과정중강저료대일차파적손상。대합성지진기록화실제자료적처리결과표명해방법능구제고다차파적압제효과，동시환가이교호지보류일차파진폭AVO(진폭수편이별거적변화)특성。
An adaptive subtraction in high-order sparse Radon domain for multiple-elimination is proposed. Subtraction in time domain can damage primary while it is overlapped with multiples. Radon transform is not an orthogonal transforma-tion; its inversion will loss data trivial. For primary-preservation, the high-resolution sparse Radon transform is incorporat-ed with orthogonal polynomial transformation and sparse representation by an overcomplete dictionary, thus a high-order sparse Radon transform is achieved. The high-order sparse Radon transform not only keeps primary amplitude but improves the resolution of multiple elimination. The adaptive subtraction in high-order sparse Radon domain will decrease the dam-age to the primaries. The experiments with synthetic data and field data show good performances in multiple elimination and AVO( amplitude versus offset)-preservation.