Integrated Waterflood Asset Management

Appendix D: Reservoir Engineering Aspects of Waterflooding

Overview

This appendix presents a review of reservoir engineering aspects of waterflooding [1], [2] as follows:

  • Immiscible Displacement Theory

  • Flood Pattern

  • Reservoir Heterogeneity

  • Recovery Efficiency

  • Injection Rates

[1]Craig, F. F., Jr. "The Reservoir Engineering Aspects of Water-flooding," SPE Monograph 3, Richardson, TX (1971).

[2]Satter, A. S. and G. C. Thakur. "Integrated Petroleum Reservoir Management: A Team Approach," PennWell Books, Tulsa, OK (1994).

Immiscible Displacement Theory

Darcy's law as shown below is the basic equation to describe the flow of fluids through porous media:


where:

  • A = the cross-sectional area of rock and pore, in the direction of flow, cm 2

  • dp / ds = pressure gradient along the direction of flow, atm/cm

  • dz / ds = gradient in the vertical direction

  • g = acceleration due to gravity, cm/sec 2 (= 980.7 cm/sec 2)

  • k = permeability, darcies

  • ? = viscosity of flowing fluid, centipoise (cp)

  • ? = density of the flowing fluid, g/cm 3

  • q = flow of fluid, cm 3/sec

Displacement of oil from a porous medium by immiscible water can be described by the fractional flow equation, and the frontal advance theory. [3], [4]

Applying Darcy's law separately to oil and water flows, and considering viscous, gravitational, and capillary effects, the fractional flow equation of water displacing oil in practical units is:


where:

  • A = area, sq. ft.

  • f w = fraction of water flowing

  • k =...

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