规则体重力异常余弦变换谱特征及反演

提出利用余弦变换,研究规则体重力异常谱特征及反演方法。推导出球体、无限长水平圆柱体、无限和有限延伸垂直台阶的重力异常余弦变换谱及反演表达式。球体与无限长水平圆柱体的余弦变换谱相似,无限延伸垂直台阶的变化很尖锐,有限台阶的表现为上、下有规律的跳跃。在模型反演算例中,选择了适当的采样间隔和“趋势镶边”法,反演的圆柱体线密度和轴心深度误差分别为0.25%和3.8%。

Characteristics and inversion of cosine transform spectrum of gravity anomaly on regular bodies

The paper proposed the characteristics and inversion method of gravity anomalies spectrum using cosine transform.Formulas of inversion and cosine transform spectrum of gravity anomaly of sphere,infinite horizontal cylinder,infinite and finite stretched staircase were deduced.The cosine transform spectrum of sphere are about the same as that of infinite horizontal cylinder,and that of infinite stretched staircase are very sharp,but that of finite stretched staircase presents well-regulated leap.In the calculating example of model inversion,the proper sampling interval and `trend-band' method were selected and inversion errors of the linear density and axes depth of cylinder were close to 0.25% and 3.8%,respectively.