CAJ | 학술논문

将基于偏微分方程的图像修复技术引入到地震资料数字处理领域，提出基于扩散滤波方法的地震数据修复技术。将待修复数据区域附近的未受损数据按照一定的扩散函数规则，通过扩散滤波方法将其扩散至待修复区域，每次迭代计算仅更新待修复区域内的数据，未受损区域内的数据保持不变，根据迭代前后的残差与阈值比较，最终确定迭代终止的条件。地震数据插值处理以及地震数据的局部修复处理2个应用实例表明，采用扩散滤波方法的地震数据修复技术可以修复地震数据，能够有效恢复缺失的地震波场信息，在地震资料数字处理中有一定的应用价值。
장기우편미분방정적도상수복기술인입도지진자료수자처리영역，제출기우확산려파방법적지진수거수복기술。장대수복수거구역부근적미수손수거안조일정적확산함수규칙，통과확산려파방법장기확산지대수복구역，매차질대계산부경신대수복구역내적수거，미수손구역내적수거보지불변，근거질대전후적잔차여역치비교，최종학정질대종지적조건。지진수거삽치처리이급지진수거적국부수복처리2개응용실례표명，채용확산려파방법적지진수거수복기술가이수복지진수거，능구유효회복결실적지진파장신식，재지진자료수자처리중유일정적응용개치。
We introduce figure repair technology based on partial differential equation into seismic data digital processing, and put forward seismic data repair technology based on diffusion filtering method. The technology diffuses undamaged area’ s data to data to be repaired using diffusion filtering method with a certain diffusion function. In each iteration, only the data to be repaired is updated, and undamaged area’ s data is remained unchanged. Final iteration termination condition can be ensured by comparing difference with threshold before and after iterations. Two application examples of seismic data interpolation processing and seismic data local repair processing show that the technology can achieve the purpose of repairing seismic data. It recovers effectively lost seismic wave field information. Therefore, it can be used in practical seismic data digital processing.