LOFTING ALGORITHM FOR DISCRETE NETWORK MESHING

摘要

The disclosed embodiments include a method, apparatus, and computer program product for generating hybrid computational meshes around complex and discrete fractures for the purpose of reservoir simulation. For example, one disclosed embodiment includes a method that comprises receiving a set of 3D fracture surfaces with geometry that has been discretized in a 2D manifold by a collection of polygons. The method defines a family of non-intersecting 2D slicing surfaces for slicing the set of 3D fracture surfaces. The method then uses the intersection of the 2D slicing surface with the 2D manifolds defining the fracture surfaces to create a set of 2D fractures on each slicing surface. Following a series of steps, the method generates three-dimensional shells connecting a set of stadia corresponding to each fracture on each 2D slicing surface to a corresponding set of stadia on a neighboring 2D slicing surface for creating a three-dimensional model.

主权项

1. A computer-implemented method for modeling three-dimensional (3D) geological fractures, the method comprising:
receiving a 3D domain that includes a set of 3D fracture surfaces with geometry that has been discretized in a 2D manifold by a collection of polygons; intersecting the 3D domain with a set of non-intersecting 2D slicing surfaces to generate a set of 2D fracture line segments on each 2D slicing surface at the intersection of a respective slicing surface and the 2D manifolds defining the 3D fracture surfaces; for each 2D slicing surface:
for each straight line segment in each fracture line segment of the set of fracture line segments: generating a set of stadia at a specified radii from a straight line segment, generating closed loops around all the straight line segments of the fracture line segment, and generating various shape cells within the closed loops of the straight line segment;generating a constrained cell mesh around the closed loops of the set of fracture line segments to fill in a remainder space of the 2D slicing surface;for each stadia of each fracture line segment, connecting points on a first stadia to a corresponding point on a second stadia on a neighboring 2D slicing surface to form 3D shells;generate shape cell elements in between successive 3D shells to fill a region between the successive 3D shells; andassigning reservoir properties to each cell to produce a 3D model.