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124   PETROPHYSICAL EVALUATION OF GAS SHALE RESERVOIRS

            NMR  T  distribution allows differentiation between free   and  Staudt,  2005).  This  method  allows  for  the  direct
                   2
            fluid and bound fluid. The ability of NMR to distinguish bet­  measurement of the amount adsorbed, which is not the case
            ween bound and free fluid increases the capability of NMR   for volumetric method.
            to estimate the formation permeability (Rezaee et al., 2012).   The adsorption isotherm is the relationship between the
            Two common models for estimating permeability are the   amount of adsorbed gas and the gas pressure at constant
            free‐fluid (or Coates model) and mean T  (or SDR model)   temperature (Lu et al., 1995).  Therefore, by repeating
                                             2
            (Coates et al., 1999). T 2cutoff , (the) T  value which differentiates   adsorbed gas measurement at different pressures, the
                                       2
            between free fluid and bound fluid, and T 2gm , the geometrical   Langmuir isotherm will be obtained (Fig. 6.8). According to
            mean of T  distribution, are the effective parameters for the   the Langmuir equation, the adsorbed gas capacity (G ) can
                                                                                                            s
                    2
            Coates model and mean T  model, respectively. Small pore   be expressed as follows:
                                 2
            sizes  in the shales  resulted  in fast  T  relaxation  time  and
                                          2
            small T 2cutoff  and T 2gm  compared to normal values for sand­         G    VP                  (6.2)
                                                                                          l
            stone or carbonates. Coates et al. (1999) proposed a T 2cutoff  of        s  PP 1
            33 ms for sandstone and 92 ms for carbonates, while Sigal
            and Odusina (2011) showed that for the gas shale most of the   where  V  and  P  are  the  Langmuir volume  and pressure
                                                                              l
                                                                        l
            NMR signals occur below 20 ms. There are many challenges   respectively, and P is the reservoir pressure. Due to the
            with the interpretation of NMR signals for gas shale samples   exothermic nature of adsorption phenomena, it is necessary
            that make it difficult to differentiate between free fluid and   to do the adsorbed gas measurement at the reservoir temper­
            bound fluid and, as a result, to estimate permeability. As Sigal   ature to simulate the reservoir conditions exactly. Zhang et
            and Odusina (2011) proposed, some of these challenges are   al. (2012) and Ross and Bustin (2007a) derived some
            as follows:                                          formulas for determining the effect of temperature on the
                                                                 adsorbed gas capacity. Zhang et al. (2012) proposed the
                 • Although T  mode is on the order of 1 ms for brine   following relationships between the Langmuir pressure and
                         2
                response and 10 ms for methane, water and gas NMR   temperature based on the organic matter type:
                signals are very similar, and it is difficult to separate
                between gas and brine response.                                       1241
                 • Resolving the effect of adsorbed gas in the determined      ln P 1  . 589  T  fortype Ikerogen  (6.3)
                porosity from NMR is an issue.
                 • The effect of temperature on methane relaxivity should            2628
                be investigated.                                         ln P 1  . 975    fortype II kerogen  (6.4)
                                                                                       T

                                                                                     3366
            6.3.4  Adsorbed Gas Measurement                             ln P   11 .06     fortype III kerogen  (6.5)
                                                                            1          T
            Gas storage evaluation of the gas shale is performed through
            two different measurements. Measuring the free gas compo­  where P  is the Langmuir pressure in MPa and T is tempera­
                                                                       l
            nent is the same as with the conventional reservoirs and can   ture in Kelvin. However, as was mentioned by Zhang et al.
            be done using helium pycnometry or other conventional   (2012), the aforementioned correlations were obtained from
            methods that measure effective porosity. But for measuring
            the adsorbed gas capacity, there are two common methods:
            volumetric and gravimetric.
              The physics of a volumetric gas adsorption experiment is   V I  Langmuir volume: gas volume at in nite pressure
            simple: a given amount of sorptive gas is expanded into a
            vessel which includes the degased shale sample, and which
            has first been evacuated. Upon expansion, the sorptive gas is
            partly adsorbed on the surface (external and internal) of the   Gas content (scf/ton)  1/2 V
                                                                         I
            sorbent material, and partly remains as gas phase around the
            adsorbent. By measuring mass balance, the amount of gas       Langmuir pressure:
            being adsorbed can be calculated if the free space volume of   pressure where gas storage capacity
            the adsorbent is known (Keller and Staudt, 2005).  The        is half of Langmuir volume
            gravimetric method consists of exposing a degased shale
            sample to a pure gas at constant temperature. The change in   P I        Pressure (psi)
            the weight of the adsorbent sample as well as pressure and   FIGURE 6.8  A typical Langmuir isotherm showing the quantity
            temperature is measured when equilibrium is reached (Keller   of adsorbed gas at a given pressure.
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