Research Article

Optimal Control of Polymer Flooding Based on Maximum Principle

Table 1

Parameters of reservoir description used in the example.

ParametersValues

Number of production well, 𝑁 𝑝 1
Number of injection wells, 𝑁 𝑤 4
Thickness of the reservoir bed, (m)5
Reference pressure, 𝑝 𝑟 (MPa)12
Porosity under the condition of the reference pressure, 𝜙 𝑟 0.31
Rock density, 𝜌 𝑟 (kg/m3)2000
Rock compressibility factor, 𝐶 𝑅 (1/MPa) 9 . 3 8 × 1 0 6
Irreducible water saturation, 𝑆 𝑜 𝑟 0.25
Residual oil saturation, 𝑆 𝑤 𝑐 0.22
Oil relative permeability at the irreducible water saturation, 𝑘 𝑟 𝑤 𝑟 𝑜 0.5228
Water relative permeability at the residual oil saturation, 𝑘 𝑟 𝑜 𝑐 𝑤 0.9
Index of oil relative permeability curve, 𝑛 𝑜 4.287
Index of water relative permeability curve, 𝑛 𝑤 2.3447