智庆全,武军杰,王兴春,等. 基于瞬变冲激时刻的地−井TEM快速定量解释方法[J]. 煤田地质与勘探,2022,50(7):44−51. DOI: 10.12363/issn.1001-1986.21.12.0762
引用本文: 智庆全,武军杰,王兴春,等. 基于瞬变冲激时刻的地−井TEM快速定量解释方法[J]. 煤田地质与勘探,2022,50(7):44−51. DOI: 10.12363/issn.1001-1986.21.12.0762
ZHI Qingquan,WU Junjie,WANG Xingchun,et al. Fast quantitative interpretation of surface-borehole TEM using transient impulse peak time[J]. Coal Geology & Exploration,2022,50(7):44−51. DOI: 10.12363/issn.1001-1986.21.12.0762
Citation: ZHI Qingquan,WU Junjie,WANG Xingchun,et al. Fast quantitative interpretation of surface-borehole TEM using transient impulse peak time[J]. Coal Geology & Exploration,2022,50(7):44−51. DOI: 10.12363/issn.1001-1986.21.12.0762

基于瞬变冲激时刻的地−井TEM快速定量解释方法

Fast quantitative interpretation of surface-borehole TEM using transient impulse peak time

  • 摘要: 地−井瞬变电磁法响应规律复杂,现有解释方法以定性分析和半定量解释应用最为广泛,不能直接获取大地电阻率参数。针对这一问题,提出一种基于瞬变冲激时刻的快速定量解释方法。首先给出均匀半空间地−井瞬变电磁响应的表达式,分析地−井瞬变电磁响应的冲激时刻特征。结果表明,接收点深度越大、大地电导率越高,则瞬变冲激时刻越晚。结合已有的研究成果,推导冲激时刻与大地电导率和深度的函数关系,依据反函数理论进行大地视电阻率定义。以获取真实大地电阻率为目标,研究基于地下电磁场扩散速度的改进大地电阻率恢复算法。采用所提出的算法,根据实际常用工作方式,分别设计均匀半空间、二层模型和三层模型进行模拟计算。模型算例和实测数据试算结果表明:基于冲激时刻的视电阻率定义方法能够较好地反映大地电阻率的变化趋势,但具有较强的体积效应;基于电磁场扩散速度的改进算法能够有效地削弱体积效应的影响,更加准确地恢复大地电阻率值和反映电性界面。该算法无需进行复杂模型的迭代正演计算,具有较高的计算效率,能够定量恢复大地电阻率值,适用于地−井瞬变电磁法的快速初步定量解释。但在实际资料解释应用中,还需考虑视电阻率的“overshoot”和“undershoot”现象,避免造成错误解释。

     

    Abstract: Due to the complex response law of the surface-borehole Transient Electromagnetic Method (TEM), qualitative analysis and semi-quantitative interpretation are the most widely used interpretation methods. However, the methods cannot obtain the resistivity parameter of the earth directly. To solve this problem, a fast quantitative interpretation method based on transient impulse peak time is proposed. Firstly, the expression of uniform half-space surface-borehole transient electromagnetic response is given, and the impulse time characteristics of surface-borehole transient electromagnetic response are analyzed. The results show that the deeper the receiving point is buried and the higher the earth conductivity is, the later the transient impulse time is. Based on the previous research results, the function between impulse time and earth conductivity is deduced, and the apparent resistivity is defined according to inverse function theory. In order to obtain the true resistivity of the earth, an improved resistivity recovery algorithm based on the diffusion velocity of the underground electromagnetic field is derived. The algorithm is applied to design the uniform half-space model, two-layer model and three-layer model respectively according to the common working mode in practice. Synthetic and measured examples show that the method of defining apparent resistivity based on impulse time can reflect the variation trend of earth resistivity well, but it has strong volume effect. The improved algorithm based on the diffusion velocity of the electromagnetic field can effectively weaken the volume effect, recover the resistivity value and reflect the electrical interface more accurately. This algorithm does not need iterative forward modeling calculation of complex models, so it has high efficiency, and can quantitatively recover the value of earth resistivity, which make it suitable for quick preliminary quantitative interpretation of the surface-borehole TEM. However, the “overshoot” and “undershoot” phenomena in the apparent resistivity definition should also be carefully considered when the algorithm is applied to data processing and interpretation to avoid incorrect interpretation.

     

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