Page 82 - Geology of Carbonate Reservoirs
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SATURATION, WETTABILITY, AND CAPILLARITY   63



                                                            Oil

                                              θ  Water



                                             cos θ =



                    Figure 3.5      The interfacial tension values (identified by   σ ) and the contact angle (  θ  ) between
               the two liquids in a system of oil and water in contact with a solid surface. These relationships
               provide the basis for calculating values of adhesion tension ( A   T  ) at different liquid – solid
               interfaces.  (Adapted from an illustration in Amyx, Bass, and Whiting  (1960) .)


                                           A T = σ so −σ sw = σ wo cos θ wo

                  A positive adhesion tension indicates that the denser liquid is the wetting phase
               and an adhesion tension of 0 indicates that both liquids have equal affinity for the


               solid. If   θ  is small, the denser liquid will spread readily and coat the solid surface.

               If  θ  is large, an external force will be required to make the denser liquid spread

               across the solid surface. The interfacial contact angles and attendant spreading
               characteristics of several different liquid systems in contact with quartz and calcite
               are shown in Figure  3.6 . In the case of water and isooctane, water is the wetting fl uid
               for both quartz and calcite. When naphthenic acid is used on both quartz and calcite,
               it preferentially wets calcite with a contact angle of 106 ° , but water is the wetting
               fluid on quartz where naphthenic acid forms a contact angle of 35 ° . This illustrates

               that for a water – oil – solid system, it is possible to have an oil - wet or water - wet
               medium, depending on the composition of the liquids and solids and the surface
               chemical reactions that may occur. In gas – water, or gas – oil reservoirs, gas is always

               the nonwetting fluid. Reservoir rocks that were deposited in aqueous environments,
               as most were, start out as water - wet. However, after oil is trapped in the reservoir,
               polar organic compounds in the oil can adhere to pore surfaces and, with surface
               chemical reactions over time, change the reservoir to oil - wet or partially oil - wet

               (Pittman,  1992 ) . Tiab and Donaldson  (2004)  point out that the chemically basic
               nature of carbonates causes them to react readily with organic acids in crude oils,
               which in turn causes the carbonates to become neutral to oil - wet.

                   3.1.3   Capillarity

                 Capillary attraction is defined in the  American Heritage Dictionary  (1992) as  “ the


               force that results from greater adhesion of a liquid to a solid surface than internal
               cohesion of the liquid itself and that causes the liquid to be raised against a vertical
               surface, as water is in a clean glass tube. It is the force that allows a porous material
               to soak up a liquid . ”  This interactive force depends on surface tension and on the
               ability of certain liquids to wet the surface of solids, or wettability. Wettability is
               manifested by a curvature of the liquid surface that forms a contact angle different
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