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重力位球谐系数及板块运动速度是两种独立的地球物理观测资料,但二者同时又是地幔内横向密度差异及与之相联系的地幔流动的结果,从而,中长波重力异常与板块运动的观测提供了探索地幔横向非均匀的一条途径。本文根据适合于低雷诺流动的最小粘滞损耗原理,利用张量场及矢量场的标量分解与传播子解的数学方法,将观测的重力位球谐系数和板块运动速度作为约束条件,发展了一种反演地幔横向密度差异的方法。
The gravitational bitball harmonic coefficients and plate motion velocities are two independent geophysical observations, but both are the result of the lateral density difference in the mantle and the associated mantle flow. Therefore, the long-medium wave gravity anomalies and plate motion The observations provide a way to explore the lateral heterogeneity of the mantle. In this paper, according to the principle of minimum viscosity loss suitable for low Reynolds flow, the mathematical method of scalar decomposition and propagator solution of tensor field and vector field is used, and the observed gravitational spherical harmonic coefficients and plate moving velocity are used as constraints A Method to Retrieve the Lateral Density Difference of the Mantle.