王彦飞^1,2,,
樊树芳^1,2,3,
LeonovA S⁴,
LukyanenkoD V⁵,
YagolaA G⁵,
汪丽华⁶,
王羽⁶,
王建强⁶
1. 中国科学院地质与地球物理研究所, 中国科学院油气资源研究重点实验室, 北京 100029
2. 中国科学院大学, 北京 100049
3. 聊城大学数学科学学院, 山东聊城 252059
4. National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow 115409, Russia
5. Department of Mathematics, Faculty of Physics, Moscow Lomonosov State University, Vorobyevy Gory, Moscow 119991, Russia
6. 中国科学院上海应用物理研究所, 上海 201204

基金项目: 国家自然科学基金项目（91630202，RFBR-NSFC grant 19-51-53005，NSFC-RFBR 11911530084）资助


详细信息

作者简介: 王彦飞, 中国科学院地质与地球物理研究所研究员, 2002年毕业于中国科学院数学与系统科学研究院, 现从事地球物理反演理论及计算的研究工作.E-mail:yfwang@mail.iggcas.ac.cn

中图分类号: P631

收稿日期:2018-12-13
修回日期:2019-02-02
上线日期:2020-05-05

Non-smooth regularization and fast gradient algorithm for micropore structure reconstruction of shale

WANG YanFei^1,2,,
FAN ShuFang^1,2,3,
Leonov A S⁴,
Lukyanenko D V⁵,
Yagola A G⁵,
WANG LiHua⁶,
WANG Yu⁶,
WANG JianQiang⁶
1. Key Laboratory of Petroleum Resources Research, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
2. University of Chinese Academy of Sciences, Beijing 100049, China
3. School of Mathematics, Liaocheng University, Shandong Liaocheng 252059, China
4. National Research Nuclear University MEPhI, Kashirskoe sh. 31, Moscow 115409, Russia
5. Department of Mathematics, Faculty of Physics, Moscow Lomonosov State University, Vorobyevy Gory, Moscow 119991, Russia
6. Shanghai Institute of Applied Physics, Chinese Academy of Sciences, Shanghai 201204, China


MSC: P631

--> Received Date: 13 December 2018
Revised Date: 02 February 2019
Available Online: 05 May 2020


摘要
摘要:页岩微观结构认识是页岩气勘探开发的基础.传统的探测手段是基于表面的有损观测方法.本文应用上海光源同步辐射技术对页岩结构进行无损探测获取投影数据，该技术可以避免X射线硬化.我们利用X射线计算机断层成像技术进行图像恢复，提出了L1模+TV（全变差）非光滑正则化方法抑制噪声影响，提高图像对比度.实验证明，该方法是准确重建页岩微观结构的有效方法.
关键词: 同步辐射/
X射线计算机层析成像/
非光滑正则化/
稀疏解

Abstract:The understanding of shale microstructure is the basis of shale gas exploration and development. The traditional detection method is based on the surface damage observation method. In this work, the synchrotron radiation technology of Shanghai Light Source is applied to nondestructive detection of shale structure to obtain projection data, which can avoid X-ray hardening. We use X-ray Computed Tomography (CT) technology to restore images, and propose an L1 norm + TV (total variation) constrained non-smooth regularization method to suppress noise and improve image contrast. Experiments show that this method is effective to reconstruct the microstructure of shale accurately.
Key words:Synchrotron radiation/
X-ray CT/
Non-smooth regularization/
Sparse solution



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