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重力异常反演是一个求解第一类非线性积分方程的问题。当三维界面起伏满足｜Δｈ｜＜０．４１４ｈ０和二维界面起伏满足－ｈ０＜Δｈ＜０．４１４ｈ０时，积分方程的被积函数可展成Δｈ的幂级数形式。界面上密度的变化可归结为升型、降型和过渡型三种。对于各种变密度的积分方程都可用统一式来表示，即：用迭代法和Ｂ样条函数法可求解该方程。方法对线性反演密度界面法是一种改进，也避免了Ｐａｒｋｅｒ公式反演密度界面时多次调用富氏变换所带来的积累误差。
Gravity anomaly inversion is a problem for solving the first kind of nonlinear integral equation. When the three-dimensional interface fluctuation satisfies | Δh | <0.414h0 and the two-dimensional interface fluctuation satisfies -h0 <Δh <0.414h0, the integrand function integrable function can be extended to the form of power series of Δh. Changes in the density of the interface can be attributed to rising, falling and transitional three. For all kinds of variable density integral equation can be used to represent the unity, that is: iterative method and B-spline function method can be solved for the equation. The method is an improvement on the linear inversion density interface method and also avoids the accumulation errors caused by the Fourier transformation invoked many times when the Parker formula inverts the density interface.