Calculation of Optimal Distance Between Electrode and Probe in Relief Well Magnetic Ranging
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摘要:
测距精度是影响救援井与事故井连通的关键因素。为提高基于注入电流主动磁测距系统的测量精度，分析了各介质中的电场分布情况，建立了事故井套管电流密度分布模型；通过分析事故井套管电流密度的分布规律，建立了基于测点处磁感应强度最大原则的电极与探管最优距离计算模型，并且通过与试验结果对比验证了模型的有效性。实例计算表明，电极与探管的最优距离不仅与电极到事故井的距离有关，也与相对井斜角有关，但与注入电流的强度无关；事故井套管电流密度的峰值点距事故井坐标点的距离，近似等于电极到事故井探管的距离；电极与探管的最优距离，近似等于电极到事故井距离与相对井斜角余割的乘积。研究结果表明，合理设计电极到探管的距离，有利于提高基于注入电流主动磁测距系统的测量精度。
Abstract:Ranging accuracy is a key factor affecting the successful connection between relief wells and accident wells. In order to improve the measurement accuracy of the active magnetic ranging system based on injected current, the electric field distribution in each medium was analyzed, and the current density distribution model of the accident well casing was established. By analyzing the current density distribution law of accident well casing, the calculation model of the optimal distance between the electrode and the probe based on the principle of the maximum magnetic induction intensity at the measuring point was established and the effectiveness of the model was verified by comparison test results. Calculations with examples show that the optimal distance between the electrode and the probe is related to not only the distance between the electrode and the accident well but also the relative well inclination angle. In addition, it has nothing to do with the injected current intensity. The distance between the peak point of the casing current density of the accident well and the coordinate point of the accident well is approximately equal to that between the electrode and the probe in the accident well. The optimal distance between the electrode and the probe is approximately equal to the product of the distance between the electrode and the accident well and the cosecant of the relative inclination angle. According to the calculation results of the optimal distance, a reasonable design of the distance between the electrode and the probe can contribute to the improvement measurement accuracy of the active magnetic ranging system based on injected current.
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图 3 注入电流在事故井套管的传播规律
Figure 3. Propagation law of injected current in accident well casing
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图 4 试验结果与模型计算结果的比较
Figure 4. Comparison of experimental results and model calculation results
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图 5 当I=20 A、r=30 m、α=10°时，事故井套管的电流密度和距套管R处的磁感应强度分布
Figure 5. Current density of accident well casing and magnetic induction intensity distribution at distance R from the casing when I=20 A, r=30 m and α=3°
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图 6 当r=30 m、α=0°时，事故井套管的电流密度随注入电流强度的变化
Figure 6. Changes in current density J(z) of accident well casing with injected current intensity I when r=30 m and α=0°
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图 7 当I=10 A、α=0°时，事故井套管的电流密度随电极到事故井套管距离的变化
Figure 7. Changes in current density J(z) of accident well casing with the distance r from electrode to accident well casing when I=10A and α=0°
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