基于泰勒级数的重力异常数据快速相关成像

为了提高重力勘探中数据成像的效率，对地球物理勘探中的重力异常数据进行快速三维成像.在相关成像的理论基础上针对立方体元提出利用泰勒级数的算法，重新定义了异常值的计算模型，从而得到新的几何函数.该成像方法通过级数展开、积分等方式，减少了计算量和迭代次数.在理论模型试验中，证明了提出的方法具有良好的成像能力和抗噪性，并通过效率分析说明了该算法能够大幅缩短几何函数矩阵的计算时间，提高成像效率.对文顿盐丘地区的实测重力异常数据进行快速成像，地质体的位置能够被较好地显示出来，验证了算法的可行性.

Fast Probability Tomography of Gravity Anomaly Data Based on Taylor Series

In order to improve the data tomography efficiency in the gravity exploration，gravity anomaly data from the geophysical exploration were processed by fast three-dimensional tomography. The algorithm of Taylor series was used for the prism unit based on the related probability tomography theory， in which the calculation model of anomaly data were redefined to obtain new geometric functions. The tomography method reduces the calculation amount and the number of iterations by series expansion and integral. In the theoretical model test， it is proved that the proposed method has good tomography ability and anti-noise characteristic. The efficiency analysis shows that the algorithm can greatly shorten the calculation time of the geometric function matrix and improve the imaging efficiency. Fast tomography was applied for the real gravity anomaly data of Vinton Dome， the location of geological body could be shown well， which verifies the algorithm feasible.