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TEM Response of a Large Loop Source over a Homogeneous Earth Model: A Generalized Expression for Arbitrary Source-Receiver Offsets

机译:均质地球模型上大环源的TEM响应:任意源-接收器偏移的通用表达式

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In the present research, an attempt is made to derive the generalized expressions for the transient electromagnetic response of a large loop source over the surface of a homogeneous earth model for arbitrary receiver positions inside or outside the source loop. Expressions are derived for the impulse as well as step excitations of the source loop. As a cross check for validity of expressions, the step response expression is obtained from the impulse response expression and vice versa. Computations are performed for the TEM response over a homogeneous earth model for source-receiver offset (r = 0) pertinent to the central loop configuration and the results are compared with the published results for the central loop TEM responses. The results are in well coincidence with each other and thus provide the check for the authenticity of the expressions. To exemplify the nature of TEM response at various source receiver offsets, results are presented for the TEM response at source receiver offsets r = 0, r = a/2, r = a and r = 2a, 6a, 12a pertaining to the central loop, in-loop, on-loop and offset loop configurations, respectively. The results depict their characteristic variations. At receiver positions inside the loop source, both the impulse as well as step responses are of same sign, whereas at the receiver positions outside the loop source, both the curves exhibit a change of sign that shifts towards the later times with increase in the offset distances. The change of sign in impulse response occurs at a relatively later time than that in the step response. This is the initial presentation of TEM response expressions for the large loop source over a homogeneous earth model for arbitrary receiver position inside and/ or outside the loop source except for the case of receiver at the center of the loop and at the coincident loop point. This research would be of immense use in the development and use of the large loop TEM method in its various configurations and thus would enhance the applicability and cost effectiveness of the large loop source TEM method. Keywords Transient electromagnetic response - integral expression - large loop source - in-loop method - offset loop method
机译:在目前的研究中,人们试图对源回路内部或外部任意接收器位置的均匀地球模型表面上的大回路源瞬态电磁响应的广义表达式进行推导。导出源回路的脉冲和阶跃激励的表达式。作为对表达式有效性的交叉检查,阶跃响应表达式是从冲激响应表达式获得的,反之亦然。针对与中心环路配置相关的源-接收器偏移(r = 0),在均质地球模型上针对TEM响应进行计算,并将结果与​​已发布的中心环路TEM响应进行比较。结果彼此非常吻合,因此可以检查表达式的真实性。为了说明在各种源接收器偏移下的TEM响应的性质,给出了与中心环路有关的源接收器偏移r = 0,r = a / 2,r = a和r = 2a,6a,12a时TEM响应的结果。 ,回路内,回路内和偏移回路配置。结果描述了它们的特征变化。在环路源内部的接收器位置处,脉冲和阶跃响应均具有相同的符号,而在环路源外部的接收器位置处,两条曲线均显示符号变化,该偏移随偏移量的增加而向后移动。距离。脉冲响应中的符号变化发生在比阶跃响应中相对更晚的时间。这是在均质地球模型上,对于环路源内部和/或外部的任意接收器位置,对于大环路源的TEM响应表达式的初始表示,但接收器位于环路中心和重合环路点的情况除外。这项研究将在其各种配置的大型环路TEM方法的开发和使用中大量使用,因此将增强大型环路源TEM方法的适用性和成本效益。关键词瞬态电磁反应积分表达式大回路源回路法偏移回路法

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