Study High-order Volume Function Splice Mothed Between Tetrahedral Domains In Stratum Body

The paper researched "volume function" model based on volume partition and fit of volume function. The Bernstein-Bezier surface theory generalized to tetrahedral, derived hypersurface conditions between Bernstein-Bezier tetrahedron. Put forword a simple quadratic tetrahedral Bernstein-Bezier control point property values adujustment method, namely:average of adjust the property value, the first time will be upgraded to secondary Bernstein-Bezier tetrahedral volume function based on tetrahedron volume function model. The method used tetrahedral vertex controlled high-order Bernstein-spline function model fitting property field based on divide the stratum into tetrahedrons, build volume coordinates system, and assure smooth transition on every tetrahedron's boundary in same stratum. Use tetrahedral region high-order volume function to fit values of property of the whole stratum. By map of horizontal section visually express property field in the stratum. Compared with traditional Liner Interpolation, Inverse Distance to a Power Interpolation, high-order volume function interpolation method given spatial structure and direction of local variable, it better fit variation of property field in geology body.