Page 582 - Petrophysics
P. 582

PROBLEMS         549


                             8. Differentiate between fault, joint, and fracture. How do they affect
                                the fluid flow in petroleum reservoirs?
                             9. A 5-inch long, 2-inch thick rock sample has only one fracture. The
                                fracture width was measured as 0.03 cm and it fully penetrates the
                                rock sample over its entire thickness.

                                (a)  Calculate the surface area of  the space created by the fracture
                                    assuming rectangular and elliptical fracture shapes.
                                (b)  Calculate the hydraulic radius of the fracture.

                            10. A  resistivity  survey in  a well  showed  a  wellbore-corrected mud
                                filtrate  resistivity  of  0.1  ohm-m,  water  resistivity  0.19  ohm-m,
                                invaded zone resistivity  2  ohm-m,  and deep formation resistivity
                                115 ohm-m.  The  average porosity  of  22%,  estimated  from  log
                                data,  well  matches  the  porosity estimated  from  cores.  Pressure
                                test  analysis  as  well  as  cores  indicated  the  presence  of  natural
                                fractures in the well. Substantial mud loss was also observed during
                                drilling of this well, and in neighboring wells. Several outcrops also
                                indicate the presence of natural fractures in the area. Using log data,
                                estimate the fracture intensity index and the porosity-partitioning
                                coefficient.
                            1 1. A newly drilled well in an oil reservoir was logged. Seismic surveys
                                and geological studies indicated that the well is located in a faulted
                                naturally fractured zone, which is a downthrown layer. The average
                                total porosity (15%)  of the system was estimated from cores. Other
                                known characteristics  are:

                                A = 4,500 acres                  h=70ft

                                S, = 0.25                       Bo = 1.1 bbl/STB

                                R,   = 0.11 Ohm-m                Rt  = 80 Ohm-m
                                Rw = 0.15 Ohm-m                  m = 1.30


                                (1)  Estimate the porosity partitioning coefficient
                                (2)  Estimate the matrix porosity and fracture porosity
                                (3)  Calculate the total oil in place, STB
                                (4)  Calculate the FII and
                                (5)  Estimate the distance to the nearest fault, if the resistivity of the
                                    invaded zone is 6.5 ohm-m.
                                (6)  Does the presence of a nearby fault change the estimate of total
                                    oil in place?
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