井下采空区时域不连续伽辽金法电磁正演  

Electromagnetic forward modeling based on discontinuous Galerkin time domain method in underground goaf

作　　者：王树奇[1] 黄茸茸 吴楠 WANG Shuqi;HUANG Rongrong;WU Nan(College of Communication and Information Engineering,Xi’an University of Science and Technology,Xi’an 710054,China;School of Information Engineering,Shaanxi Xueqian Normal University,Xi’an 710100,China)

机构地区：[1]西安科技大学通信与信息工程学院,陕西西安710054 [2]陕西学前师范学院信息工程学院,陕西西安710100

出　　处：《西安科技大学学报》2021年第2期348-354,共7页Journal of Xi’an University of Science and Technology

基　　金：国家自然科学基金项目(51804248);陕西省教育科学“十三五”规划项目(SGH18H259)。

摘　　要：为了获取准确的井下采空区的地理信息,利用时域不连续伽辽金法(DGTD)和高阶叠层矢量基函数的特点,建立了井下采空区三维空间模型,研究了高阶叠层矢量基函数阶数对井下采空区电磁正演精度的影响,得到井下采空区电磁场强度的空间分布规律。井下采空区电磁正演模拟结果表明,采用2.5阶叠层矢量基函数的DGTD方法计算精度比传统低阶棱边基函数提高了74%,证明了该方法对复杂目标电磁特性研究的实用性,并能准确可靠地实现井下采空区地质结构的电磁探测。In order to obtain accurate geographic information of underground goaf,a three-dimensional spatial model of underground goaf is established by using the characteristics of discontinuous Galerkin time domain(DGTD)and high-order hierarchical vector basis functions.The influence of the order of high-order hierarchical vector basis functions on the accuracy of electromagnetic forward modeling of underground goaf is examined and the spatial distribution and response characteristics of electromagnetic field intensity in underground goaf are analyzed.The results of electromagnetic forward modeling of goaf show that the calculation accuracy of DGTD method using hierarchical vector basis functions of order 2.5 is 74%higher than that of the traditional low-order edge-based basis function,indicating the practicability of this method in the study of electromagnetic characteristics of complex targets.And it is able to accurately and reliably realize the electromagnetic detection of geological structure in goaf.

关 键 词：井下采空区 时域不连续伽辽金法 高阶叠层矢量基函数 电磁正演 

分 类 号：TM153[电气工程—电工理论与新技术]