倾斜台阶重力异常公式的改进

Some improvements on the formula for inclined steps gravity anomaly

现用的倾斜台阶重力异常表达式经正演计算发现三种情况下其重力异常曲线存在间断点:(1)斜面倾角过小或过大;(2)顶端埋深较浅;(3)埋深比大于5.8.异常曲线间断点的存在影响异常解释的结果,对倾斜台阶重力异常曲线存在间断点的研究尚未见相关的文献报道.本文对倾斜台阶重力异常表达式重新进行了数学推导,改进了倾斜台阶重力异常表达式.通过倾斜台阶模型正演计算验证,表明改进后的公式解决了原表达式存在间断点的问题.

The inclined steps gravity anomaly formula after calculation was found inclined steps gravity anomaly curve have discontinuous point in the three cases：（1）Slant angle is too small or too large;（2）The top of buried depth is shallow;（3）Buried depth ratio greater than 5.8.The existence of gravity anomaly curve discontinuity point to influence the outcome of anomaly interpretation,gravity anomaly curve exists discontinuity point have not been reported.In this paper,Inclined steps gravity anomaly formula expression to derive a new mathematical formula,improvement the inclined steps gravity anomaly expression.By the inclined steps model verification,show that the improved formula to solve the original expression exists of discontinuous point issue.