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Fracturing fluid flow back                                     353


              but the rest cannot. We use the membrane efficiency to describe the effec-
              tiveness which is defined as the actual pressure increase across the membrane
              divided by the theoretical osmotic pressure. The literature information
              shows that the membrane efficiency is low (less than 5% according to Neuzil
              and Provost’s (2009) review of public experimental data). When Fakchar-
              oenphol et al.’s (2014) history matched experimental data using the
              TOUGHREACT simulator, they used 5% membrane efficiency. It is
              possible that theoretical pressures could exceed 30 MPa at a porosity of
              0.1 and 10 MPa at a porosity of 0.2 (Neuzil and Provost, 2009). However,
              the average osmotic pressure measured in laboratory and in situ is 0.128 MPa
              at the porosity of 0.206 from the published data summarized by Neuzil and
              Provost (2009). The possible reasons to cause the discrepancy between the
              theoretical estimation and actual osmotic pressure could be one or more
              of the following.
              (1) Due to the wide range of pore sizes, formation acts as a nonideal
                 semipermeable membrane which only restricts passage of some of the
                 solutes in the solvent (Fakcharoenphol et al. 2014). Ghanbari and
                 Dehghanpour (2015) observed that significant permeability parallel to
                 the laminations acts as a preferential pathway for the imbibing water
                 than the semipermeable clay layers, therefore, reducing the favorable
                 conditions for the development of osmotic pressure.
              (2) Some of assumptions in the osmotic theory may not hold in reality
                 (Neuzil and Provost, 2009).
              (3) The conditions for the osmosis to occur are difficult to meet (Neuzil and
                 Provost, 2009).
              (4) Formations that are effective membranes in tests are ineffective at large
                 scale (Neuzil and Provost, 2009).
                 However, anomalously high pressures were observed in shales of Triassic
              Dunbarton Basin, Eastern United States (Marine, 1974; Marine and Fritz,
              1981), and in an argillite in the eastern Paris Basin, France (Gueutin et al.,
              2007). There could be many reasons, such as tectonic deformation, compac-
              tion, diagenesis and heating, to cause anomalously high pressure behavior. It
              seems difficult to explain those anomalously high pressures except by the
              concept of osmotic pressure.

              12.3.4.3 Implications of osmotic phenomenon
              The osmotic pressure will drive lower-salinity water like fracturing fluid into
              higher-salinity shale, displacing oil and gas out of shale formation. Fakchar-
              oenphol et al. (2014) simulated the osmotic effect between a fracture and a
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