3D line-support grid flattening for more accurate geostatistical reservoir population with petrophysical properties

Research on Developable Surface Modeling and the Processing Technology

“…As can be proved that a developable surface must be a ruled surface simultaneously, a common method for developable surface interpolation is boundary triangularization [5][6][7][8]. But the boundary triangularization grow its patterns exponentially with the number of sample points on boundary, it could be infeasible in practice.…”

“…Supposing rung l is one of three sides of the optimal triangularization of P , and it is the optimal rung. Then the equation below is true [8] (2) with each rung in () Li and , ii , a minimum () DP could be found, and the corresponding triangularization is the optimal one. To avoid exponential processing time, this study adopted a guideline of dynamic programming presenting in (3) and (4).…”