CAJ | 학술논문

运用常规的基于曲波变换和全变差的联合去噪技术，可以有效地衰减随机噪声，较好地克服使用曲波变换带来的强能量团以及在同相轴边缘产生的不光滑现象，但是这种常规的联合去噪方法对有效信号有一定的损害。笔者采用一种多尺度多方向改进的Donoho阈值去噪思想，较好地克服了常规的联合去噪方法的缺陷，保护了有效信号。该方法在应用曲波变换去噪时，对每一个尺度的每一个方向都选取一个合适的阈值因子，而不是常规的方法对整个曲波系数矩阵只选取一个固定比例的阈值因子。理论模型与实际资料的处理结果表明，该技术最大限度地保留了地震数据的有效信号，在地震资料处理中具有较好的应用前景。
운용상규적기우곡파변환화전변차적연합거조기술，가이유효지쇠감수궤조성，교호지극복사용곡파변환대래적강능량단이급재동상축변연산생적불광활현상，단시저충상규적연합거조방법대유효신호유일정적손해。필자채용일충다척도다방향개진적Donoho역치거조사상，교호지극복료상규적연합거조방법적결함，보호료유효신호。해방법재응용곡파변환거조시，대매일개척도적매일개방향도선취일개합괄적역치인자，이불시상규적방법대정개곡파계수구진지선취일개고정비례적역치인자。이론모형여실제자료적처리결과표명，해기술최대한도지보류료지진수거적유효신호，재지진자료처리중구유교호적응용전경。
Random noise can be effectively attenuated based on conventional combination of curvelet transform and total variation tech-nology.This combination technology can reduce the pseudo-gibbs effects and the aliased curves resulting from using curvelet transform, but this method is not conducive to the fidelity of seismic data processing.In this paper,a random noise attenuation method is put for-ward based on multi-scale and multi-direction improved Donoho thresholds,This improved combination technology can very effectively overcome the disadvantages of conventional combination technology and better preserve the signal of seismic data. When this method is used to attenuate random noise,we must choose appropriate threshold factors at every scale and in every direction,and it is unlike con-ventional technology which only chooses one fixed proportion threshold factors of all curvelet coefficients.Theoretical model and real data processing results show that this technology can maximally preserve the signal of seismic data,so it has a good prospect in the seismic data processing.