物探化探计算技术2016，Vol.38Issue(6)：788-795,8.DOI:10.3969/j.issn.1001-1749.2016.06.12
基于样条插值与曲波变换压缩感知的井下微地震监测数据重建
Downhole microseismic monitoring data reconstruction based on spline interpolation and curvelet-based compressive sensing
摘要
Abstract
For downhole microseismic monitoring of hydraulic fracturing of unconventional oil/gas reservoirs,the number of borehole receivers is limited and as a result the spatial sampling of seismic wavefield is sparse,which can lead to artifacts in the seismic migration image for downhole microseismic migration.To mitigate this spatial aliasing issue,spatial interpolation is needed.Currently,compressive sensing using the curvelet-based sparsity constraint has been gradually widely used for seis-mic trace interpolation.However,for the case of downhole microseismic monitoring,because the temporal sampling is much denser than the spatial sampling,the directional information obtained for curvelet bases at certain scales is limited,making it difficult to take full advantage of anisotropic features of curvelet bases.As a result,the result of seismic trace interpolation is poor.To solve this issue,we propose a hybrid method that combines spline interpolation and curvelet-based compressive sensing.First,spline interpolation method is used to calculate the reflection of interpolated traces using those of existing traces.Then the traces are shifted to a certain direction that could well be represented by the curvelet basis,such as the hori-zontal direction.After shifting the traces,the seismic gather is sparse in the curvelet domain and thus the curvelet-based spar-tisty constrained interpolation can then be used to more accurately reconstruct more traces in the space domain.We tested the hybrid method on a synthetic downhole microseismic dataset.It shows that the artifacts on seismic migration image using inter-polated microseismic data are greatly reduced compare to the migration image from the original sparse data.关键词
井下微地震监测/样条插值/曲波变换/压缩感知/数据重建Key words
downhole microseismic monitoring/spline interpolation/curvelet transform/compressive sensing/data recon-struction分类
天文与地球科学引用本文复制引用
常凯,张海江,林叶..基于样条插值与曲波变换压缩感知的井下微地震监测数据重建[J].物探化探计算技术,2016,38(6):788-795,8.基金项目
国家自然科学基金项目 （）
