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首页> 外文期刊>IEEE Geoscience and Remote Sensing Letters >Multichannel Reflectivity Inversion With Sparse Group Regularization Based on HPPSG Algorithm
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Multichannel Reflectivity Inversion With Sparse Group Regularization Based on HPPSG Algorithm

机译：基于HPPSG算法的稀疏组规范化多通道反射率反应

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摘要

We proposed a multichannel deconvolution method. The method uses a mixed norm to promote structured forms of sparsity. To solve this deconvolution problem, we develop a new algorithm called the Hadamard product parametrization (HPP) sparse-group (HPPSG) algorithm. We define each layer of seismic profile as a group, and perform $L_{p}$ -norm for all elements within each group to preserve the lateral continuity. Based on the assumption that the reflectivity is sparse, $L_{q}$ -norm is applied among groups along the time direction. Then, we construct an $L_{p,q}$ optimization problem. After that, we solve this problem using the proposed HPPSG algorithm. The HPPSG algorithm is formed by converting the $L_{p,q}$ optimization function into the $L_{1}$ optimization function which is solved with the help of the HPP algorithm. The proposed algorithm is simple and applicable for an arbitrary $L_{p,q}$ -norm inverse problem. Synthetic and real data examples demonstrate the effectiveness of the proposed method in improving the lateral continuity of seismic profiles.
机译：我们提出了一种多通道解卷积法。该方法使用混合标准来促进结构化的稀疏性。为了解决这种解构问题，我们开发了一种称为Hadamard产品参数化（HPP）稀疏组（HPPSG）算法的新算法。我们将每层地震配置文件定义为组，并为每组内的所有元素执行$ l_ {p} $ -norm以保留横向连续性。基于反射率稀疏的假设，$ l_ {q} $ -norm在沿着时间方向的组之间应用。然后，我们构建一个$ l_ {p，q} $优化问题。之后，我们使用所提出的HPPSG算法来解决这个问题。通过在HPP算法的帮助下解决$ L_ {P，Q} $优化函数，通过将$ l_ {p，q q} $优化函数转换为$ l_ {1} $优化函数来形成HPPSG算法。该算法简单且适用于任意$ l_ {p，q} $ -norm反问题。合成和实际数据示例证明了提出方法改善地震型材的横向连续性的有效性。

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  • 来源
    《IEEE Geoscience and Remote Sensing Letters》 |2020年第5期|784-788|共5页
  • 作者

    Xu Xin; Gao Jinghuai; Zhang Bing; Chen Hongling; Yang Yang;

  • 作者单位

    Xi An Jiao Tong Univ Sch Elect & Informat Engn Xian 710049 Peoples R China|Natl Engn Lab Offshore Oil Explorat Xian 710049 Peoples R China;

    Xi An Jiao Tong Univ Sch Elect & Informat Engn Xian 710049 Peoples R China|Natl Engn Lab Offshore Oil Explorat Xian 710049 Peoples R China;

    Xi An Jiao Tong Univ Sch Elect & Informat Engn Xian 710049 Peoples R China|Natl Engn Lab Offshore Oil Explorat Xian 710049 Peoples R China;

    Xi An Jiao Tong Univ Sch Elect & Informat Engn Xian 710049 Peoples R China|Natl Engn Lab Offshore Oil Explorat Xian 710049 Peoples R China;

    Xi An Jiao Tong Univ Sch Elect & Informat Engn Xian 710049 Peoples R China|Natl Engn Lab Offshore Oil Explorat Xian 710049 Peoples R China;

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  • 正文语种 eng
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  • 关键词

    Deconvolution; group sparse; Hadamard product parametrization (HPP); L (p,q) regularization;

    机译：去卷积;群稀疏;Hadamard产品参数化（HPP）;L（P;Q）正则化;

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