月海盆地区壳-幔界面补偿地形体积估计的球谐算法

Volume Estimation of Crust-Mantle Interface Beneath Lunar Nearside Mare Basins Based on Spherical Harmonic Algorithm

提出基于壳-幔界面补偿地形的球谐系数直接求解补偿地形体积的方法.结果表明:补偿地形的体积仅与其球谐展开系数和常高地形展开系数乘积之和有关,进而简化了运算的复杂度,提升了计算效率.与模型地形的体积相比,算法的误差较常规的算法小.可以根据不同窗口形状,估计补偿地形的体积及其剩余质量.将算法应用于月球物理参数的估计,为月海盆地区弹性厚度的估计提供有益的参考.

We propose a method of volume estimation based on spherical harmonic coefficients of compensated topography.It shows that volume of compensated topography depends merely on sum of coefficients between compensated topography and windowed constant height.The algorithm shows a simplification of computation and improves efficiency of estimation.Moreover,it demonstrates smaller error than general numerical methods.It can be employed in estimating volume of compensated topography windowed with various shapes.This method provides a good reference for estimation of lunar parameters,especially the elastic thickness over mare basins.