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Figure 8 defines the permeability multiplier for the soft, medium and stiff rock types.
The permeability multiplier is defined as a ratio of current permeability to original permeability.
Open image in new window Fig. 8 Permeability multiplier for different rock types.
Most of the current analytical techniques assume a single rectangular shaped fracture in a single-phase homogeneous reservoir, the fracture is limited to the block size and the fracture properties are adjusted using permeability multiplier.
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Then, for a given location and time, the reservoir effective permeability is equal to the intrinsic permeability multiplied by the correction factor (Eq. 6) that is a function of reservoir temperature, pore pressure and gas properties including the collision diameter (Eq. 2).
The flux of the species is equal to the permeability multiplied by the concentration gradient, as shown in Eq. (1) [ 22]. (1) JA is the flux of species A across the endothelial cell monolayer (mol cm 2 – s), Kp is the permeability (cm s 1), Clum is the luminal concentration, and Cablum is the abluminal concentration of species A (mol cm 3).
The classical flow-diffusion equation [ 88], as well as more complex models such as that of Li et al. [ 65], predict that the extraction of diffusible substances is limited by blood flow and the capillary permeability (P) multiplied by their surface area (S).
It was found that when pore-scale SAGD tests were conducted in models with the same thermal properties and bitumen type, the net CSOR values are proportional to the square root of kinematic oil viscosity at the steam temperature and are also inversely proportional to the square root of porosity multiplied by permeability assuming that all other experimental variables remain unchanged.
Multiplying the intrinsic permeability with f c gives the predicted measured permeability for the given pore pressure and temperature.
Strictly speaking well test data only supply a transmissivity measure (i.e. reservoir height multiplied by reservoir permeability).
The hydraulic fracture is implemented in this simulation study by choosing different cells inside LGR region and multiply its original permeability by a factor in order to represent the hydraulic conductivity of the created fracture as Fig. 15.
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