吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (2): 530-539.doi: 10.13229/j.cnki.jdxbgxb201702026

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基于优化Block反演的地面磁共振测深新方法

林君1, 2, 赵越1, 3, 蒋川东1, 2, 王应吉1, 2   

  1. 1.吉林大学 仪器科学与电气工程学院, 长春 130026;
    2.吉林大学 地球信息探测仪器教育部重点实验室, 长春 130026;
    3.吉林建筑大学 计算机科学与工程学院, 长春 130118
  • 收稿日期:2015-12-22 出版日期:2017-03-20 发布日期:2017-03-20
  • 通讯作者: 蒋川东(1984-),男,讲师,博士.研究方向:核磁共振地下水探测方法和仪器.E-mail:chuandongjiang@gmail.com
  • 作者简介:林君(1954-),男,教授,博士生导师.研究方向:地球物理探测技术及仪器.E-mail:lin_jun@jlu.edu.cn
  • 基金资助:
    国家重大科学仪器设备开发和应用专项项目(2011YQ030133); 国家自然科学基金项目(41604083).

New surface MRS method based on optimized Block inversion

LIN Jun1, 2, ZHAO Yue1, 3, JIANG Chuan-dong1, 2, WANG Ying-ji1, 2   

  1. 1.College of Instrumentation and Electrical Engineering, Jilin University, Changchun 130026, China;
    2.Key Laboratory of Geo-Exploration Instrumentation, Ministry of Education, Jilin University,Changchun 130026, China;
    3.Institute of Computer Science and Engineering, Jilin Jianzhu University, Changchun 130118, China
  • Received:2015-12-22 Online:2017-03-20 Published:2017-03-20

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摘要： 为满足地面磁共振测深方法中对含水层边界的准确反演要求,本文提出优化Block反演方法。算法采用Smooth反演获得平滑的含水量分布曲线,根据Smooth反演结果导数预设分层数作为先验信息,进而确定各分层的位置。基于Tikhonov正则化反演理论,推导了Block反演的迭代格式,并用基于约束加权和先验的共轭梯度最小二乘算法求解,精确获得了含水层的边界和含水量,先验信息的引入解决了传统Block反演方法不稳定和可靠性低等问题。根据多组含水层模型在不同分层数、噪声水平、深度和厚度下的仿真实验,表明Block反演在深层含水层边界的计算精度上优于Smooth反演,且具有较强的抗干扰能力和稳定性。最后,通过实例证明了由先验信息优化后的Block反演法满足反演精度和稳定性要求,而且对含水层内部的复杂结构也能提供更丰富的分层信息。

关键词: 仪器仪表技术, 先验信息, 反演, 含水层边界, 稳定性

Abstract: An optimized Block inversion method is proposed in order to satisfy the high accuracy requirement of the aquifer boundary with Magnetic Resonance Sounding (MRS). The priori information is established from the derivative result of the Smooth inversion, which provides the smooth distribution of the water content. Based on the Tikhonov regularized inversion theory, the interactive scheme of Block inversion is deduced and solved. The Block inversion provides the exact boundary and water content of the aquifer. The introduction of priori information resolves the problems of instability and low reliability compared with traditional Block inversion. A series of synthetic models with one or more aquifers under different blocks, noise levels, depths and thicknesses are simulated. Results show that the accuracy of the aquifer boundary from the proposed Block inversion method is superior to Smooth inversion, and the anti-interference ability and stability are stronger. A field case study of the MRS measurement proves that the optimized Block inversion based on priori information satisfies the requirements of inversion accuracy and stability. The proposed the method could also provide more details for an aquifer with complex internal structure.

Key words: technology of instrument and meter, priori information, inversion, aquifer boundary, stability

中图分类号: 

  • TH762
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