A efficient and robust method for complexly faulted horizon reconstruction based on meshes cutting and interpolating

3d-geological modeling is a means of improving data interpretation through visualization, as well as a way to generate support for numerical simulations of complex phenomena. Reconstructing horizons from scattered point clouds is an omnipresent task in 3d-geological modeling. As the geometrical representation of faults network is not watertight in the process of modeling for the reason of efficiency, the reconstructed horizons cut by the fault network are often topological inconsistency. A robust and efficient method to reconstruct topologically and geometrically consistent horizons based on meshes cutting and Discrete Smooth Interpolation (DSI) is proposed to tackle this problem. By representing the faults network with both triangular and rectangular mesh, and under the guide of macro spatial topology, the initial continuous mesh of a horizon could be cut by the faults network efficiently and robustly. DSI is adopted to further adjust the non-manifold mesh of horizon to their proper position while keeping the topological contact relation unchanged. The result shows that the horizons reconstructed are consistent. It indicates that the method can solve the inconsistency of the horizons caused by the inconsistency of the faults network.