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TWO PHASE RELATIVE PERMEABILITY MODELS PERMEABILITY: Permeability is the capacity of a porous medium to transmit fluids through its interconnected pores. This capacity is called absolute permeability or simply permeability if the medium is 100% saturated with a single liquid phase.

Indirectly we can say that it is the ability of the rock formation to pass any fluid through its pores at defined saturations.

RELATIVE PERMEABILITY MODELS:

Two-phase relative permeability data are generally obtained from laboratory measurements on suitable cores.

In some cases these data may be missing, and reasonable approximations are necessary. These approximations are called models

when they are available in an algebraic form. Two models are often used in reservoir simulation:

i) Corey’s Two Phase Model

ii) Naar and Henderson’s Two-Phase Model

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References: Basic Applied Reservoir Simulation, By Ertekin, Abou-Kassem, & King. SPE 2001.

HOW TO USE? Simply run the program by clicking PERME_MODEL or type PERME_MODEL at the command prompt. Select from three available options 1, 2, 3. Type the option then press Enter. Enter Siw value. OUT_COREY.TXT file will be created for Corey’s Model automatically.

OUT_NAAR.TXT file will be created for Naar and Henderson’s Model automatically.

Import this file into MS Excel for plotting purpose. To import go to Data Tab, select “From Text”, then follow the instructions.

SAMPLE GENERATED DATA:

OUT_COREY.TXT FILE:

SW KR WET KR NON WET

.12 0 1

.22 1.667514E-04 .7754954

.32 2.668021E-03 .5662651

.42 1.350685E-02 .3839152

.52 4.268834E-02 .2360495

.62 .1042196 .1262697

.72 .2161097 5.417577E-02

.8200001 .4003701 1.536539E-02

.9200001 .6830137 1.434324E-03

OUY_NAAR.TXT FILE:

SW KR WET(WATER) KR NON WET(OIL)

.023 0 1

.123 1.097544E-04 .7859795

.223 1.75607E-03 .5589312

.323 8.890104E-03 .3305027

.423 2.809712E-02 .1214012

Sample Generated Plots: Corey two-phase:

Naar and Henderson two-phase:

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