频率域偶层位曲面位场处理和转换方法试验研究

Experimental research using the frequency-domain dipole layer method for the processing and transformation of potential field on curved surface

本文利用理论模型,从场源分布和观测面起伏两个方面研究频率域偶层位曲面位场处理和转换方法的适应性及计算精度,从不同大小随机干扰测试其稳定性.场源分布的理论模型试验结果显示,频率域偶层位法不能适用于"强地形"情况而只能适应于"弱地形"情况,对较弱的"强地形"可以近似使用;场源埋深和场源水平尺寸以及场源组合对频率域偶层位方法的曲面位场处理和转换结果影响较小,且随着场源埋深的减小、场源水平尺寸的增大,其误差在增大,但增大量较小.观测面起伏的理论模型试验结果表明,除水平重叠观测面外,频率域偶层位法能够适用于连续观测面和不连续观测面的曲面位场处理和转换;位场处理和转换结果的误差受垂向不连续距离及点距和线距大小的影响最大,其次是水平不连续距离和坡度角的影响.加入随机干扰的理论模型试验结果显示,该方法具有较好的稳定性.

Based on the source distribution and the observation surface,we studied the adaptability and accuracy of frequencydomain dipole layer method for the processing and transformation of the potential field on curved surface by using theoretical model.And test its stability on different random disturbance.The results of the field source distribution theoretical model test showed that the frequency domain dipole layer method can only adapt for＂weak topography＂but the＂strong topography＂,but it can be approximate used for the weaker＂strong topography＂.Field source burial depth,field source horizontal size,field source combination has little effect on the accuracy of the processing and transformation results,and the accuracy of the processing and transformation results＇ error is increases while the field source burial depth is decrease or the horizontal size is increase,but the increase amount is very less.The rolling topography theoretical model test results show that this method can be used for the processing and transformation of the potential field on continuous observed surface and discontinuous observed surface except flat overlapping observed surface.The vertical distance and the dot pitch and line distance can lead to the maximum error in the processing and transformation method of potential field,followed by discontinuous influence distance and slope angle.And the method has better stability on random disturbance which tested by the theoretical model.