摘要
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 gradiometry is a kind of new technology of the gravity survey that rapidly developed in recent years. Gravity gradient tensor is the measurement of the gravitational potential of two--order tensor. Usually the abnormal morphology of Gradient tensor is complex, comparing to the gravity anomaly, gravity gradient tensor contains more geolog- ical anomalous body information such as shape, position and boundary. Laplacian operator is the isotropic differential operator with the characteristic of rotation invariance,and it can be extended to the operator running in tensor field which contains gradient tensor boundary information of density anomaly body. Executing the Laplacian operator on the gradient ten- sor boundary information enhancement and recognition on the basis of previous research, the gradient tensor boundary position accuracy is higher with this method to the model with linear boundary and a relatively good response at the apex as well as at the corner. Compre-hensively, the analysis of the relationship of the objects parameters and various boundary enhancement and identification algorithm may hopefully provide a reference to research of Gravity gradiometry data processing and interpretation.
出处
《工程地球物理学报》
2013年第5期706-713,共8页
Chinese Journal of Engineering Geophysics
