复杂形态回线源激发电磁场的矢量有限元解

发布时间：2018-07-23 15:30

【摘要】：回线源瞬变电磁法实际工作中,发射回线易发生形变,这将影响资料处理解释的精度。为此,基于电磁场数值模拟的总场算法,利用矢量有限元法实现了铺设于水平地表的复杂回线源电磁场的三维正演。复杂回线源可视为由一系列首尾相接的电偶源组成,这些电偶源可进一步分解为与笛卡尔坐标系中水平坐标轴平行的一对正交电偶源。通过对比铺设于均匀半空间表面的圆形回线圆心处磁场脉冲响应的一维解析解和矢量有限元法解,验证了三维正演算法的正确性。对于复杂形态高导体地电模型,计算了矩形回线、圆形回线和普通四边形回线激发的磁场脉冲响应。结果表明,发射回线形状主要影响早期电磁响应。
[Abstract]:In the practical work of loop source transient electromagnetic method, the transmitting loop is prone to deformation, which will affect the accuracy of data processing and interpretation. Therefore, based on the total field algorithm of electromagnetic field numerical simulation, the three-dimensional forward modeling of complex loop source electromagnetic field laid on horizontal surface is realized by using vector finite element method. The complex loop source can be regarded as a series of pairs which can be further decomposed into a pair of pairs parallel to the horizontal coordinate axis in the Cartesian coordinate system. The validity of the 3D forward algorithm is verified by comparing the one-dimensional analytical solution and the vector finite element method solution of the magnetic field impulse response at the center of the circular loop laid on the uniform half-space surface. For the high conductor geoelectric model with complex shape, the response of magnetic field pulse excited by rectangular loop, circular loop and ordinary quadrilateral loop is calculated. The results show that the shape of the emission loop mainly affects the early electromagnetic response.
【作者单位】：中国地质大学(武汉)地球物理与空间信息学院;中国矿业大学深部岩土力学与地下工程国家重点实验室;
【基金】：国家自然科学基金项目(41504088、41474055) 中国矿业大学深部岩土力学与地下工程国家重点实验室开放基金项目(SKLGDUEK1312)联合资助
【分类号】：P631.325

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