General purpose diffusivity model for fluid flow and heat conduction in porous media. [For simulation of oil and natural gas wells after hydraulic fracturing; SIMPAC]
A general purpose three-dimensional finite-difference diffusivity model is developed with the capability of simulating horizontal or vertical induced fractures by several different methods. Fractures may be of finite, semi-infinite, or infinite flow capacity. In the first case, the fracture width and permeability is specified and the appropriate permeability of each node penetrated by a fracture is altered according to the relationship for linear beds in parallel. In addition, the block size normal to the fracture orientation is decreased to a very small value thus giving a reasonable representation of the fissure. A semi-infinite fracture is simulated for a specified total rate by uniformly distributing the flow along the reservoir nodes penetrated by the fracture. Finally, an infinite capacity fracture may be simulated for either the constant potential or constant rate case. In addition to simulating gas, liquid, or heat flow in a heterogeneous, anisotropic fractured media this model (1) relates block pressures to wellbore pressures through radial flow equations, (2) is unlimited in the number of time-steps per fun, (3) automatically adjusts time-step to be compatible with the speed of convergence, (4) will simulate pressure (temperature) or rate pulse tests, (5) accumulates elapsed time, total production, and material balance errors, (6) can begin each run with any pressure distribution in one of two different formats, and (7) can be used with a mixture of hydrocarbon gases containing up to 14 components over reduced temperature and pressure ranges of 1.1 to 3.0 and 1.1 to 20.0 respectively. The generality of the model developed precludes listing the entire scope of its applications. Sample problems are given for the cases of liquid flow and heat conduction. Also a special 3-D fracture problem is included which shows the usefulness of this package to the natural gas industry. (auth)
- Research Organization:
- Bureau of Mines, Morgantown, W.Va. (USA). Morgantown Energy Research Center
- OSTI ID:
- 7364352
- Report Number(s):
- MERC/SP-76/1
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
02 PETROLEUM
03 NATURAL GAS
COMPUTER CODES
S CODES
FLUID FLOW
MATHEMATICAL MODELS
HEAT FLOW
ENHANCED RECOVERY
HYDRAULIC FRACTURING
NATURAL GAS WELLS
OIL WELLS
WELL STIMULATION
COMMINUTION
FRACTURING
WELLS
420400* - Engineering- Heat Transfer & Fluid Flow
020300 - Petroleum- Drilling & Production
030300 - Natural Gas- Drilling
Production
& Processing