二维位场在有源空间的解析延拓  

Analytical continuation of the two-dimensional potential field in an active space

作　　者：黄宗理[1] 郭佳[2] 

机构地区：[1]中国地质科学院地球深部探测中心,北京100035 [2]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),北京100083

出　　处：《地球物理学报》2016年第2期704-710,共7页Chinese Journal of Geophysics

基　　金：国家深部探测技术与实验研究专项(SinoProbe-08)资助

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.Downward continuation of the potential field has a great significance in practices.However,the existing downward continuation methods cannot continue a potential field over the source and their numerical calculation is unstable.We define a new function PFGR which has both the potential field and geometry properties.We also present a novel continuation method which can analytically continue the potential field into the lower half-space including the source.This method can steadily continue the potential field over the source.And the test on synthetic data confirmed the reliability of this new method.

关 键 词：位场 解析延拓 有源空间 

分 类 号：P631[天文地球—地质矿产勘探]