基于非结构网格的直流电阻率正演和反演方法及其在隧道工程中的应用

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS
Zhaoyang Deng, Zhiqiang Li, Lichao Nie, Shilei Zhang, Lei Han, Yuancheng Li
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引用次数: 0

摘要

准确识别含水结构是隧道工程安全施工的迫切需要。目前,直流电阻率法是检测隧道含水结构的有效方法。在基于有限元法的直流电阻率高级检测中,传统的六面体网格对于马蹄形和圆形等复杂隧道结构断面模型的离散化效果不佳。因此,本研究采用四面体和六面体相结合的非结构网格生成技术,实现了对圆形和马蹄形断面等复杂结构的更精确建模,并建立了基于非结构网格的隧道直流电阻率正演建模方法。对于全空间的无限表格体,数值模拟与理论结果之间的最大误差小于 0.8%。计算包含两种网格的反演区域的灵敏度矩阵和模型约束项比计算一种网格的反演区域的灵敏度矩阵和模型约束项更为复杂。为此,计算了不同类型网格区域的灵敏度矩阵,构建了基于体积和距离双重约束的模型约束项,最后提出了基于非结构网格的分区域加权最小二乘反演方法。分析了典型含水结构的合成实例,结果表明所提出的基于非结构网格的隧道直流电阻率正演和反演方法能有效捕捉含水结构的位置和形态。最后,在山西中部的引黄工程中进行了现场应用。所提出的方法能有效识别隧洞面前的水体,并指导工程的现场施工。这些成果可以提高隧道直流电阻率数据的解释能力,对推广应用直流电阻率法防治复杂结构隧道涌水灾害起到积极作用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Forward and inversion approach for direct current resistivity based on an unstructured mesh and its application to tunnel engineering

The accurate identification of water-bearing structures is urgently required for the safe construction of tunnel engineering. Currently, the direct current resistivity method is an effective method for detecting water-bearing structures in tunnels. In the advanced detection of the direct current resistivity based on the finite element method, the traditional hexahedron mesh performs poorly for the discretization of models of complex tunnel structure sections such as horseshoe-shaped and round sections. Therefore, this study adopts unstructured grid generation technology combining tetrahedra and hexahedra to achieve more accurate modelling of complex structures, such as round and horseshoe-shaped sections, and establishes a forward modelling method of the direct current resistivity in tunnels based on an unstructured mesh. The maximum error between the numerical simulation and theoretical results for an infinite tabular body in full space is less than 0.8%. It is more complicated to calculate the sensitivity matrix and model constraint term for the inversion region containing two types of grid than for one. For this purpose, the sensitivity matrix of different types of grid areas is calculated, a model constraint term based on the dual constraints of volume and distance is constructed, and finally, a partitioned domain-weighted least-squares inversion method based on an unstructured mesh is proposed. Synthetic examples of typical water-bearing structures are analysed, and the results show that the proposed forward and inverse methods of the direct current resistivity in tunnels based on an unstructured mesh can effectively capture the position and morphology of the water-bearing structure. Finally, an on-site application was conducted in the Yellow River Diversion Project in central Shanxi. The proposed method could effectively identify the water body in front of the tunnel face and guide the on-site construction of the project. These results can improve the interpretation of the direct current resistivity data in tunnels and play a positive role in promoting the use of the direct current resistivity method to prevent and control water-inrush disasters in tunnels with complex structures.

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来源期刊
Geophysical Prospecting
Geophysical Prospecting 地学-地球化学与地球物理
CiteScore
4.90
自引率
11.50%
发文量
118
审稿时长
4.5 months
期刊介绍: Geophysical Prospecting publishes the best in primary research on the science of geophysics as it applies to the exploration, evaluation and extraction of earth resources. Drawing heavily on contributions from researchers in the oil and mineral exploration industries, the journal has a very practical slant. Although the journal provides a valuable forum for communication among workers in these fields, it is also ideally suited to researchers in academic geophysics.
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