The common surface reconstruction methods based on scattered points, including Kriging interpolation and spline surface fitting, have some problems such as large amount of calculation, unsmooth reconstructed surface and being unable to interpolate the given points. Aiming at this issue, a new surface reconstruction method based on a fourth-order partial differential equation was proposed. In this method, a fourth-order partial differential equation was selected and its difference scheme was built, and then the stability and convergence of the difference scheme was analyzed. On this basis, with the idea of evolution, the finite difference method was used to get the numerical solution of the partial differential equation, and the steady-state solution was treated as an approximation of the original surface. As an example, with the logging data in geological exploration, a geological curved surface was reconstructed by the partial differential surface modeling method. The result shows that the method is easy to implement and the reconstructed surface is smooth naturally, as well as can interpolate the given scattered data points.