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208  4 Enhancing Geothermal Reservoirs
                               choice of proppants and proppant concentrations to guarantee sufficient fracture
                               conductivity in sedimentary environments. Experiments have shown a crushing of
                               proppant pack in addition to no self-propping. To maintain long-term productivity
                               of the reservoir, in advance to the field experiments different proppant types
                               should be tested in the laboratory for long-term conductivity under simulated
                               insitu reservoir conditions as well as for mechanical effects that would lower the
                               permeability of the proppant pack and the reservoir.
                                 Proppants are used to keep the fracture open after pumping has stopped and
                               pressure drops below the fracture opening pressure. The proppant pack in the
                               fracture provides a conductive path from the reservoir rock to the wellbore. Placing
                               the appropriate concentration and type of proppant in the fracture are critical
                               parameters for the success of a hydraulic fracturing treatment (Economides and
                               Nolte, 2000).
                                 Proppant selection must consider hydraulic conductivity at in situ stress condi-
                               tions. Hydraulic conductivity is influenced by stress on proppant pack, leading to
                               proppant crushing and embedment as well as to a reduction of fracture width and
                               fines production. Proppant size and proppant concentration has to be taken into
                               account. In general, large-diameter proppants yield a better hydraulic conductivity
                               but they are more sensitive for stress. Small diameter proppants offer less initial
                               hydraulic conductivity, but the average hydraulic conductivity over the life cycle
                               of the well is higher. Proppant concentration affects the hydraulic width and is
                               important for long-term hydraulic conductivity under production conditions (Wen
                               et al., 2007).
                                 Reinicke et al. (2006) have shown that during fracture closure the majority
                               of destruction is located at the fracture face, at the rock proppant contact. The
                               destruction at the fracture face leads to fines production and pore blocking
                               resulting in a reduced permeability at the fracture face (Legarth, Huenges, and
                               Zimmermann, 2005) (Figure 4.11).
                                 This reduced permeability can be expressed as fracture face skin (FFS). The FFS
                               is referred to as an impairment affecting flow normal to the fracture face (Cinco-Ley
                               and Samaniego, 1977). The FFS (denoted as s ff according to the original publication)
                               can be described in terms of fracture half-length x f , damage penetration w s and the
                               ratio of unaffected reservoir permeability to damaged permeability k i /k s :

                                         πw s  k i
                                    s =         − 1                                        (4.1)
                                     ff
                                          x f  k s
                                 The FFS has a direct influence on the productivity of a reservoir; it can be
                               used to calculate the dimensionless PI PI D within the pseudo steady state flow
                               regime:
                                              1
                                    PI D =                                                 (4.2)
                                            1
                                                + s ff
                                          PI D,s=0
                                with PI D,s=0 representing the dimensionless PI of the well with zero fracture face
                               skin (Romero, Valk´ o, and Economides, 2003).
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