Page 50 - Geology of Carbonate Reservoirs
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DEPENDENT OR DERIVED ROCK PROPERTIES   31

               correspondence between rock matrix and pore characteristics, how they are geneti-

               cally and temporally related, and how they influence petrophysical attributes. Poros-
               ity is measured directly from core samples and indirectly with some types of borehole

               logs. Permeability is measured as the coefficient of proportionality in Darcy ’ s equa-

               tion for fl uid flow through porous media. It is measured directly from core samples
               and it is the yardstick by which many quality rankings are assigned to reservoirs.

               Special wireline testers and pressure buildup tests can measure flow rates and
               provide meaningful estimates of permeability and petrophysical experts argue that
               permeability can be estimated from wireline log data. Not everyone agrees,
               especially those who work on carbonate reservoirs. Bulk density is a measure of
               the solid/void ratio in reservoir rocks and is measured directly in core analyses or
               indirectly with wireline logs. Bulk density values can be used to aid in estimating
               porosity.

                   2.4.1   Porosity
                Reservoir rocks consist of solid material and interstitial pore spaces that may or
               may not be connected, such that

                      V   p     =   Pore volume
                      V   s      =   Solid volume
                      V   t      =   Total rock sample volume   =    V   p     +    V   s

                 Porosity is usually designated by the symbol  φ  and is expressed as a percentage

                                            φ = (VV t ) ×100
                                                 p /
                   Reservoir specialists are primarily concerned with the fraction of total porosity

               that transmits fluids, that is, the interconnected or  effective porosity,  φ  e Effective
                                                                                 .
               porosity is the ratio of the interconnected pore volume to the total rock volume.
               Direct measurements of  V   p   in the laboratory are measurements of effective porosity.
               Not all pores are interconnected, however. Unconnected porosity is called  residual
                                                                  . Total porosity is the quantity
               porosity,  φ  r    , so that total porosity is the sum of  φ  e       +    φ  r
               derived from borehole measurements made with the various  “ porosity logging ”
               devices (Monicard,  1980 ). Porosity varies with texture, fabric, and fracture geometry
               in the reservoir rock. Grain shape, sorting, and packing are the main variables that
               affect porosity in  detrital rocks , growth fabric and skeletal microstructure affect
               inter -  and intraparticle porosity in  biogenic rocks , and porosity in  fractured rocks  is
               determined by fracture width, fracture spacing, and presence/absence of mineraliza-
               tion. Diagenesis may plug pores with cement, close pores with compaction, open
               pores with dissolution, or create new pores by recrystallization or replacement.
                    Berg  (1970)  illustrated the geometrical relationship between pore size and grain
               size with identical spheres in a packing arrangement with about 30% porosity.
               Although the example is unrealistic in terms of  “ real world ”  reservoir rocks, it is a
               useful demonstration of the relationships between fundamental rock properties,
               texture in this case, and pore characteristics. Imagine that Berg ’ s idealized example
               is an oolite grainstone with well - sorted spherical grains and unaltered depositional
               porosity. Depositional pore size is a function of grain size, packing, and sorting.
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