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CHAPTER TEN




              Spontaneous imbibition




              Abstract
                 In shale and tight formations, imbibition, especially water imbibition, plays a very
                 important role during fracturing and in enhancing oil and gas recovery. In this chapter,
                 fundamentals of spontaneous imbibition and upscaling theories are first reviewed.
                 Then the main factors which affect spontaneous imbibition are discussed. These factors
                 include permeability and porosity, initial wettability, wettability alteration, interfacial
                 tension diffusion, gravity, viscosity ratio, and initial water content. Countercurrent
                 flow is compared with cocurrent flow. Finally, behaviors of different surfactants are
                 discussed.

              Keywords: Cocurrent flow; Countercurrent flow; Diffusion; Gravity; Initial wettability;
              Spontaneous imbibition; Surfactants; Upscaling; Viscosity ratio.


                   10.1 Introduction

                   Spontaneous imbibition is defined as the process in which a wetting
              phase imbibes into the rock (matrix). During the spontaneous imbibition,
              one fluid displaces another in a porous medium by capillary pressure. In shale
              and tight formations, imbibition, especially water imbibition, plays a very
              important role during fracturing and in enhancing oil and gas recovery. In
              this chapter, imbibition fundamentals and upscaling theories are first
              reviewed. Then the main factors which affect imbibition are discussed.
              These factors include permeability and porosity, initial wettability, wetta-
              bility alteration, interfacial tension (IFT), diffusion, gravity, viscosity ratio,
              and initial water content. Countercurrent flow is compared with cocurrent
              flow. Finally, behaviors of different surfactants are discussed.


                   10.2 Discussion of some theoretical equations on
                   spontaneous imbibition
                   McWhorter and Sunada (1990) derived a general two-phase Darcy
              equation for countercurrent imbibition. Schmid and Geiger (2013) demon-
              strated that the solution can be viewed as the capillary analog to the


              Enhanced Oil Recovery in Shale and Tight Reservoirs  © 2020 James Sheng.
              ISBN: 978-0-12-815905-7                  Published by Elsevier Inc.
              https://doi.org/10.1016/B978-0-12-815905-7.00010-4  All rights reserved.  279 j
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