基于有限单元法的重力梯度张量正演计算与分析

摘要

Gravity gradient anomaly has many advantages relative to gravity anomaly ,it is necessary to study gravity gradi‐ent tensors .In forward modeling of gravity gradient tensors ,it is difficult to derive mathematical formulas of complex geolog ‐ical bodies .But finite element method has an advantage in volume integral ,it can be used to quickly and easily do forward cal‐culation for full tensors gravity gradient of complex geological bodies .By establishing models and forward calculating ,we ana‐lyzed plane and section characteristics of gravity gradient anomaly of sphere model ,and analyzed the relationship between gravi‐ty gradients and position of sphere model .Finally we utilized gravity gradients forward simulation of complex geological bodies , and illustrated the advantages and disadvantages of gravity gradients in finding out the position of geologic body .%由于重力梯度张量测量相对于重力异常测量有许多优点，因此对重力梯度的研究十分必要。在重力梯度各张量的正演计算中，复杂地质体的计算式难以直接推导，而利用有限元技术在复杂形体体积积分的优势，可以较为快速和简便地进行复杂模型的重力梯度全张量正演计算。通过模型的建立和正演计算，分析了球体模型梯度张量异常的平面和剖面特征，以及重力梯度张量与球体模型位置的规律；最后进一步利用复杂模型的重力梯度正演模拟，说明了重力梯度识别地下地质体位置的优势和不足。