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重力梯度测量是一种近年来迅速发展的重力测量新技术,测量的是引力位的二阶张量,梯度张量的形态通常比较复杂,相对于重力异常而言,包含了更多异常体形态、位置、边界等方面的信息,对重力梯度张量进行研究,能对异常体形态、位置、边界等参数信息增强与定位。Laplacian算子是各向同性微分算子,具有旋转不变性,可以推广为运行于张量场上的算子,运用Laplacian算子法识别重力梯度张量异常体边界有比较好的效果,对于在水平方向线性比较强的模型边界识别效果较好,且在对线性边界定位准确性更高,且在顶点、角点处都有比较准确的定位效果。应用Laplacian算子法对几种有代表性三度体的重力梯度张量,进行异常体边界识别与定位效果的研究与探讨,以期对重力梯度张量的处理与解释提供一定参考。
Gravity gradient measurement is a new gravimetric technique developed rapidly in recent years. It measures the second-order tensor of the gravitational potential. The shape of the gradient tensor is usually quite complicated. Compared with the gravity anomaly, it contains more abnormal body shapes , Location, boundary and other aspects of the information on the gravity gradient tensor to study the abnormal body morphology, location, boundary and other parameters of information enhancement and positioning. Laplacian operator is an isotropic differential operator, which has invariance of rotation and can be generalized to operate on the tensor field. Laplacian operator has good effect in identifying the boundary of gravity gradient tensor anomaly. For Laplacian operator, The model with better linearity in the horizontal direction has a better recognition effect on the boundary of the model, and has higher accuracy in locating the linear boundary and has more accurate positioning effect at the vertex and the corner. The Laplacian operator method is used to study and discuss the gravity gradient tensor of several representative third-degree bodies, and the research and discussion on the effect of identifying and locating the boundary of the anomalous body are carried out in order to provide some references for the treatment and interpretation of the gravity gradient tensor.