Relative Permeability and Porosity Calculation Quiz
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Questions and Answers

Which property is crucial in determining the relative permeability values of water and oil?

  • Viscosity of water and oil
  • Porosity of the rock sample
  • Atmospheric pressure at the outlet
  • Capillary number of the fluids (correct)
  • What is the significance of capillary trapping in flow through porous media?

  • It affects the effectiveness of Darcy's law
  • It influences the capillary number calculations
  • It causes entrapment and immobilization of fluids (correct)
  • It leads to a reduction in relative permeability values
  • How does increasing the capillary number affect fluid flow through a porous medium?

  • Increases relative permeability values sharply
  • Accelerates fluid flow due to reduced capillary resistance (correct)
  • Decreases viscous forces within the medium
  • Leads to more effective capillary trapping
  • In a water-wet system, how does the critical oil saturation compare to the critical water saturation?

    <p>Critical oil saturation is less than critical water saturation</p> Signup and view all the answers

    During the migration stage, when oil displaces water in a porous medium, what happens to the oil and water in different types of pores?

    <p>Oil invades the large pores and leaves water in the small pores</p> Signup and view all the answers

    What is capillary trapping primarily responsible for in a porous medium?

    <p>Reducing relative permeability</p> Signup and view all the answers

    What does relative permeability represent in relation to the permeability of a porous medium?

    <p>It represents the effective permeability for a given phase</p> Signup and view all the answers

    Why is it necessary to specify fluid saturation when defining effective permeability?

    <p>Relative permeability is a function of saturation</p> Signup and view all the answers

    Study Notes

    Two-Phase Relative Permeabilities

    • Permeability is the ability of the rock to transmit fluid, with a unit of Darcy, which is a unit of length squared.
    • Absolute permeability refers to a single-phase flow in the porous media with 100% saturation.
    • In two-phase flow, the porous media transmits each fluid by its effective permeability, which is a function of saturation and wettability.

    Effective Permeability

    • Effective permeability is a function of fluid saturation and wettability.
    • It is necessary to specify the fluid saturation when defining the effective permeability of a given fluid phase.
    • Multiple distinct values of relative permeability exist, corresponding to a given saturation value.

    Relative Permeability

    • Relative permeability is a dimensionless value representing the ratio of the effective permeability to the absolute permeability.
    • Relative permeability is a function of saturation and wettability.
    • It is specified at a given fluid saturation value.

    Water-Wet System

    • In a water-wet system, critical oil saturation is less than critical water saturation.
    • Oil needs less saturation to be mobile.
    • When oil displaces water, oil invades the large porous and leaves the water disconnected in the smaller porous (Connate water).

    Waterflooding

    • In waterflooding, water will displace the oil, leaving some of it disconnected in the large porous (Residual oil).

    Problem One

    • A rock has an absolute permeability of 80 mD, 13.2% porosity, 6 in length, and 1.5 in diameter.
    • The rock's dry weight is 126 g, and its weight at a certain stage of the experiment is 145.7 g.
    • Water and oil are injected at rates of 0.23 cm3/min and 0.52 cm3/min, respectively.
    • The outlet pressure is atmospheric, and the inlet pressure is 7 psig for both water and oil.

    Problem Two

    • A core is 2 ft long and has a cross-sectional area of 1 ft2.
    • The pressure gradient is kept constant at 50 psi/ft when the core is 100% saturated with oil.
    • The flow rate is 13.29 ft3/day when the core is 100% saturated with oil.
    • The viscosity of the oil is 1.2 cP.

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    Description

    Test your understanding of relative permeability and porosity calculations based on a given rock sample's properties and experimental data from a two-phase steady state experiment. Calculate the permeability and porosity of the rock using the provided information.

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