【摘要】 Parker公式在起伏地层重力场正演方面以其简洁、快速等优点被广泛应用于地形改正以及界面反演等,但传统的Parker公式正演方法存在一定的缺陷,在起伏地层模型重力场的正演计算中,由于正演式中e的指数项数值稳定性较差,导致正演结果精度不高。在前人研究的基础上,对Parker公式进行了改进,通过增加上、下界面平均值的方法,提高正演的数值稳定性,改进后的正演精度得到大幅提升。在此基础上,提出了一种曲面观测算法,将观测面由传统的水平面推广到任意起伏面,实现了上下界面起伏地层在起伏观测面上的快速高精度重力正演计算和带地形的密度界面起伏模型的快速高精度重力正演模拟。为了保障数值精度,采用了Gauss-FFT算法,模型实验均取得很好效果。更多还原

【Abstract】 In the aspects of undulating structure forward, Parker put forward a famous formula in 1972. Parker’s formula is widely used in terrain correction and interface inversion for it’s succinct and efficient. However, the original Parker’s formular have some deficiencies innumerical stability, which is caused by the exponent term of e in the formula. In this paper, Parker formula has been re-derived based on the previous research work, the numerical stability has been increased by adding interface averages. The improved formula accuracy also has been greatly improved. In addition, a surface observation method algorithm is proposed based on this improved forward algorithm. This method can extend the observation surface from the traditional horizontal plane to any undulating plane, and has high computational accuracy and efficiency. In order to ensure the numerical accuracy, a new algorithm-Gauss-FFT method has been adopted.更多还原