摘要：Seismic interpolation can provide complete data for some multichannel processing techniques such as time lapse imaging and wave equation migration. However, field seismic data often contains random noise and noisy data interpolation is a challenging task. A traditional method applies interpolation and denoising separately, but this needs two workflows. Simultaneous interpolation and denoising combines interpolation and denoising in one workflow and can also get acceptable results. Most existing interpolation methods can only recover missing traces but fail to attenuate noise in sampled traces. In this study, a novel thresholding strategy is proposed to remove the noise in the sampled traces and meanwhile recover missing traces during interpolation. For each iteration, the residual is multiplied by a weighting factor and then added to the iterative solution, after which the sum in the transformed domain is calculated using the thresholding operation to update the iterative solution. To ensure that the interpolation and denoising results are robust, the exponential method was chosen to reduce the threshold values in small quantities. The curvelet transform was used as sparse representation and three interpolation methods were chosen as benchmarks. Three numerical tests results proved the effectiveness of the proposed method on removing noise in the sampled traces when the minimum threshold values are correctly chosen.

关键字：interpolation sparsity seismic inversion noise thresholding method

ISSN号：0039-3169

卷、期、页：卷: 63 期: 4 页: 569-583

发表日期：2019-10-01

收录情况：SCI（科学引文索引印刷版）,ESI（基本科学指标数据库）,SCIE（科学引文索引网络版）

发表期刊名称：STUDIA GEOPHYSICA ET GEODAETICA

参与作者：Liang, Wenquan

通讯作者：曹静杰

第一作者：王尚旭

论文类型：期刊论文

论文概要：曹静杰,王尚旭,Liang, Wenquan，Simultaneous interpolation and denoising based on a modified thresholding method，STUDIA GEOPHYSICA ET GEODAETICA，2019，卷: 63 期: 4 页: 569-583

论文题目：Simultaneous interpolation and denoising based on a modified thresholding method