The construction of optimally orthogonal grid systems has, in the past, been a somewhat ad-hoc procedure. In this paper, several new methods of deriving grid systems for full field and symmetry (production) element, curvilinear models are described. The basis of the approach to constructing full field curvilinear models assumes that the engineer has identified those aspects of the reservoir geometry to which the simulation grid will correlate or conform. The "primary" and "secondary" grid lines to the orthogonal grid typically should conform to various geological features such as faults, reservoir boundries, formation top and/or bottom depth contours and fluid contacts.

The methods described to construct full field grids include:

  • contour-to-grid interpolation and grid-to-contour construction procedures which define a global (conforming) potential field in the reservoir from which the global orthogonal grid is constructed;

  • the use of the Boundary Element Method to calculate a global potential field to likewise construct a globally orthogonal grid;

  • the use of geometric construction procedures, including dot-product minimization and rubber banding to construct primary and secondary line sets from engineer defined correlating lines.

The use of the BEM in constructing curvilinear grids for production elements based upon isopotential and streamline definition is also described in detail.

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