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DOI: https://doi.org/10.11698/PED.20250459

基于邻井光纤应变的裂缝宽度和高度迭代正则反演方法

  • 陈铭 ,
  • 王子昂 ,
  • 郭天魁 ,
  • 刘拥赞 ,
  • 陈作荣
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  • 1.深层油气全国重点实验室,青岛 266580;
    2.中国石油大学（华东）石油工程学院,青岛 266580;
    3.东北石油大学石油工程学院,大庆 163318
陈铭（1990-）,男,山东泰安人,博士,中国石油大学（华东）副教授,主要从事压裂裂缝模拟与诊断研究。地址：山东省青岛市黄岛区长江西路66号,中国石油大学（华东）石油工程学院,邮政编码：266580。E-mail: chenmingfrac@163.com

收稿日期: 2025-08-21

  修回日期: 2026-01-06

  网络出版日期: 2026-01-08

基金资助

教育部U40项目（ZYGXONJSKYCXNLZCXM-E19）; 国家自然科学基金面上项目（52574078）

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Fracture width and height iterative regularized inversion method using cross-well optical fiber strain

  • CHEN Ming ,
  • WANG Ziang ,
  • GUO Tiankui ,
  • LIU Yongzan ,
  • CHEN Zuorong
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  • 1. State Key Laboratory of Deep Petroleum Resources, Qingdao 266580, China;
    2. School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China;
    3. School of Petroleum Engineering, Northeast Petroleum University, Daqing 163318, China

Received date: 2025-08-21

  Revised date: 2026-01-06

  Online published: 2026-01-08

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摘要

基于裂缝诱发光纤应变的正演模型及模型分辨率矩阵,论证裂缝碰到光纤后裂缝参数的可解释性,建立裂缝参数正则化反演模型,分析测量数据质量对迭代正则反演精度的影响,提出缝宽和缝高的解释方法,通过含测量误差的正演合成数据、现场数据实例验证缝宽和缝高同步反演的准确性。研究表明：裂缝与光纤接触后,光纤应变仅对相交位置的裂缝参数具有较强的解释性,其他位置的参数可解释性较低;迭代正则反演方法可有效抑制测量误差的影响,且计算效率高,反演优势显著;考虑缝尖宽度Neumann边界约束的一阶正则化缝宽反演结果对缝高具有较强的敏感性,据此结合二分法,可实现裂缝宽度与高度的同步反演;经模型分辨率矩阵、含测量误差的正演合成数据、现场数据的检验,证实裂缝宽度与高度迭代正则化反演模型具有较高的解释精度,可用于裂缝宽度、高度、净压力等参数计算与分析。

关键词： 光纤应变; 裂缝诊断; 正演模型; 模型分辨率; 迭代正则反演; 计算效率; 裂缝参数解释

本文引用格式

陈铭 , 王子昂 , 郭天魁 , 刘拥赞 , 陈作荣 . 基于邻井光纤应变的裂缝宽度和高度迭代正则反演方法[J]. 石油勘探与开发, 0 : 20260203 -20260203 . DOI: 10.11698/PED.20250459

Abstract

The forward model of optical fiber strain induced by fractures, together with the associated model resolution matrix, is used to demonstrate the interpretability of fracture parameters once the fracture intersects the fiber. A regularized inversion framework for fracture parameters is established to evaluate the influence of measured data quality on the accuracy of iterative regularized inversion. An interpretation approach for both fracture width and height is proposed, and the synthetic forward data with measurement error and field examples are employed to validate the accuracy of the simultaneous inversion of fracture width and height. The results indicate that, after the fracture contacts the fiber, the strain response is strongly sensitive only to the fracture parameters at the intersection location, whereas the interpretability of parameters at other locations remains limited. The iterative regularized inversion method effectively suppresses the impact of measurement error and exhibits high computational efficiency, showing clear advantages for inversion applications. When incorporating the first-order regularization with a Neumann boundary constraint on the tip width, the inverted fracture-width distribution becomes highly sensitive to fracture height; thus, combined with a bisection strategy, simultaneous inversion of fracture width and height can be achieved. Examination using the model resolution matrix, noisy synthetic data, and field data confirms that the iterative regularized inversion model for fracture width and height provides high interpretive accuracy and can be applied to the calculation and analysis of fracture width, fracture height, net pressure and other parameters.

Key words： optical fiber strain; fracture diagnosis; forward model; model resolution; iterative regularized inversion; computational efficiency; fracture parameter interpretation

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