Interpretation of well-block pressures in numerical reservoir simulation with nonsquare grid blocks and anisotropic permeability. [Calculation of the effective radius to which the well-block pressure measured on a single well holds in conditions of anisotropic permeability and nonsquare grid blocks]

Journal Article · Wed Jun 01 00:00:00 EDT 1983 · SPEJ, Soc. Pet. Eng. J.; (United States)

DOI:https://doi.org/10.2118/10528-PA· OSTI ID:5648463

Peaceman, D W

Previous work on the interpretation of well-block pressure (WBP) for a single isolated well is extended to the case of nonsquare grid blocks (..delta../chi/ not = ..delta gamma..). Numerical solutions for the single-phase, five-spot problem, involving various grid sizes, show that the effective well-block radius (where the actual flowing pressure equals the numerically calculated WBP) is given by r /SUB o/ = 0.14 (..delta..x/sup 2/ /sup +/ ..delta gamma../sup 2/) /SUP 1/2/ . This relationship is verified by a mathematical derivation for a single well in an infinite grid. The exact value of the constant is shown to be e/sup -/..gamma../4, where ..gamma.. is Euler's constant. Finally, the analysis is extended to include anisotropic permeability, and an expression for the effective wellblock radius in terms of ..delta../chi/, ..delta gamma.., k /SUB x/ , and k /SUB y/ is derived.

• Research Organization: Exxon Production Research Co.
• OSTI ID: 5648463
• Journal Information: SPEJ, Soc. Pet. Eng. J.; (United States), Vol. 23:3
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
03 NATURAL GAS
NATURAL GAS FIELDS
MATHEMATICAL MODELS
RESERVOIR PRESSURE
SIMULATION
NATURAL GAS WELLS
WELL PRESSURE
OIL FIELDS
OIL WELLS
ANISOTROPY
CALCULATION METHODS
COORDINATES
FLOW RATE
NUMERICAL SOLUTION
PERMEABILITY
RESERVOIR ROCK
GEOLOGIC DEPOSITS
MINERAL RESOURCES
NATURAL GAS DEPOSITS
PETROLEUM DEPOSITS
RESOURCES
WELLS
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030300 - Natural Gas- Drilling
Production
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