二维位场在有源空间的解析延拓

发布时间：2018-06-12 05:58

本文选题：位场 + 解析延拓　；参考：《地球物理学报》2016年02期

【摘要】：位场的向下延拓对重、磁等位场资料的处理与解释具有重要意义,但现有的延拓方法在位场向下接近场源时会产生剧烈震荡,计算过程很不稳定,而且理论上都不能越过场源.本文在复数域里定义了一个具有位场和几何双重特性的新函数PFGR,提出了一套新的延拓方法,在理论上实现了位场在包含场源的下半空间里的解析延拓,经过模型试算验证,表明该方法可以延拓越过场源,准确确定场源奇点,计算过程稳定,对测量中的随机噪声也具有较好的抗干扰能力.
[Abstract]:The downward continuation of the potential field is of great significance to the processing and interpretation of the gravity and magnetic field data. However, the existing continuation methods will produce severe oscillations when the potential field approaches the field source downward, the calculation process is very unstable, and the theory cannot cross the field source. In this paper, a new function PFGRwith potential field and geometric dual properties is defined in the complex field, and a new continuation method is proposed. The analytic continuation of the potential field in the lower half space containing the field source is theoretically realized. It is shown that this method can be extended over the field source, and the singularity of the field source can be accurately determined. The calculation process is stable, and the method has good anti-interference ability to the random noise in the measurement.
【作者单位】：中国地质科学院地球深部探测中心;地下信息探测技术与仪器教育部重点实验室(中国地质大学北京);
【基金】：国家深部探测技术与实验研究专项(SinoProbe-08)资助
【分类号】：P631

【共引文献】