Contact Angle Hysteresis During Displacement 2016-10-25T11:54:41+00:00

Fundamentals of Fluid Flow in Porous Media


Chapter 2

Multi-phase Saturated Rock Properties:

Capillary Pressure Hysteresis: Contact Angle Hysteresis During Displacement

According to the definition ‘hysteresis’ occurs when a measured variable depends on the direction of change of an independent variable.  According to eq.(2‑78) contact angle hysteresis will cause hysteresis in the capillary pressure. Consider a capillary tube containing two immiscible fluids (Figure 2‑62):

Case 1: Displacement by drainage

θR = receding contact angle (i.e. wetting phase receding)

Occurs when the non-wetting phase displaces the wetting phase by increasing Pnw.

( Pc )Drainage = ( 2σcosθR ) / r

Case 2: Equilibrium

θE = equilibrium or static contact angle

Pc = ( 2σcosθE ) / r

Case 3: Displacement by imbibition

θA = advancing contact angle (i.e. Wetting phase is advancing)

Occurs when the non-wetting phase is displaced by the wetting phase by a decrease Pnw

( Pc)Imbibition = ( 2σcosθA ) / r

Contact Angle Hysteresis During Displacement
Figure 2-62: Contact Angle Hysteresis during the Displacement

In general it can be stated that:
Equation 2-99

Therefore at the same saturation:
Equation 2-100

Figure 2‑63 shows dynamic contact angle behavior

Dynamic Contact Angle Behavior
Figure 2-63: Dynamic Contact Angle Behavior

Static values of advancing and receding contact angles at rough surfaces versus values at smooth surfaces
Figure 2-64: Static Values of Advancing and Receding Contact Angles at Rough Surfaces versus Values at Smooth Surfaces (where θE refers to smooth surface measurements)




If you have any questions at all, please feel free to ask PERM!  We are here to help the community.


Sign up and NOW to receive the latest news, updates and technological advancements made for the Special Core Analysis & Enhanced Oil Recovery Industry

If you don't sign up, you won't know when the next breakthrough occurs!

Sign up for our FREE Newsletter!

We respect your privacy!