基于最小二乘的矿井电法超前探测联合反演方法研究

    Study on Mine Advanced Detection Joint Inversion Method Based on Least Squares

    • 摘要: 瞬变电磁法和直流电法是2种主要的巷道超前探测方法,两者间的联合反演有助于探测精度的提高。提出了以瞬变电磁响应对数与直流电法视电阻率比值作为联合反演参数的最小二乘联合反演方法。对全空间无限大直立板状体的模型试算表明,联合反演既解决了直流电法单独反演时的等值现象,又克服了瞬变电磁单独反演时对高阻体的不敏感性,反演效果好于任何单一反演效果。联合反演对板状体电阻率和厚度的反演效果改善最明显(反演模型参数相对误差减小数倍到数千倍),对板状体距迎头距离及其前后介质电阻率的反演精度也进一步提高。

       

      Abstract: The transient electromagnetic method (TEM) and the direct current method (DC) are the two main roadway advancing detection method, the joint inversion between them helps to improve detection accuracy. The article presents a least squares joint inversion method using the parameter of the ratio of the logarithm of TEM response and DC response. The test of the whole space of infinite vertical tabular body showed that the joint inversion solve the equivalent phenomenon in the DC inversion and the insensitivity of the high-body in the TEM inversion. The joint inversion improves the inversion effect of the tabular resistivity and thickness obviously (with a several times to several thousand times relative error) ,besides, the distance between the tabular body and the head and its surrounding medium resistivity accuracy is futher improved.

       

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