Rapid generation of a local, orthogonal, curvilinear grid around a well requires numerically inexpensive methods for computing curvilinear gridblock pore volumes. An adaptive step size fourth-order Runge-Kutta integration is combined with adaptive discretization of the computational domain for fast pore volume determination. Adaptivity is shown to be critical for fast integration. A coning application is used to compare and contrast several grid refinement schemes.

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