倾斜台阶重力异常灰色反演

GREY INVERSION OF GRAVITY ANOMALY FOR INCLINED STEPS

迄今为止，想直接利用某一种重力异常曲线求解倾斜台阶类隐伏地质体的物性和几何参数是十分困难的，一般只能从异常曲线特征上作定性分析详细分析了倾斜台阶Δg重力异常的理论公式及其特征点列的性质，提出了倾斜台阶的规范重力异常、规范特征点及其序列以及差比变换等新概念，建立了直接利用Δg曲线反演倾斜台阶全部未知参数的一种新解法──规范特征点序列灰关联反演法，并对该方法进行了成功的模型试算验证．

It has been very difficult up to now that a certain kind of the gravity anomaly curves can be directly applied to the solution to the physical and geometrical parameters of the inclined step-like buried geological body. Generally speaking, the qualitative analysis can be made in terms of the anomaly curve feature. In this paper, a detailed analysis is firstly made of the theoretical equation of the gravity anomaly Δg for inclined steps, and its characteristic point sequence. Secondly, this paper presents the normalized gravity anomalies, normalized characteristic points and their apuences, and differential transformation for inclined steps. Thirdly, this paper establishes the gray-correlated inversion of the normalized characteristic point sequence, a new solution to the inversion of all the unknown paramters for inclined steps, directly by means of the Δg curve. Finally, this new methed is successfully proved by means of medel pilot calculation.