Page 21 - Fundamentals of Reservoir Engineering
P. 21

CONTENTS                                        XXI


               Fig. 7.22   Numerical simulation model showing the physical no-flow boundary drained by
                           well A and the superimposed square grid blocks used in the simulation      198

               Fig. 7.23   Horner buildup plot, infinite reservoir case                               201

               Fig. 7.24   Position of the well with respect to its no-flow boundary; exercise 7.7    203

               Fig. 7.25   Pressure buildup analysis to determine the average pressure within the no-flow
                           boundary, and the dynamic grid block pressure (Exercise 7.7)               204

               Fig. 7.26   Influence of the shape of the drainage area and degree of well asymmetry on the
                           Horner buildup plot (Exercise 7.7)                                         205

               Fig. 7.27   Multi-rate oilwell test (a) increasing rate sequence (b) wellbore pressure
                           response                                                                   210

               Fig. 7.28   Illustrating the dependence of multi-rate analysis on the shape of the drainage
                           area and the degree of well asymmetry. (Exercise 7.8)                      214

               Fig. 7.30   Multi-rate test analysis in a partially depleted reservoir                 219

               Fig. 7.31   Examples of partial well completion showing; (a) well only partially penetrating
                           the formation; (b) well producing from only the central portion of the formation; (c)
                                                                                         19
                           well with 5 intervals open to production (After Brons and Marting )        220
                                                                                                  19
               Fig. 7.32   Pseudo skin factor S b as a function of b and h/r w (After Brons and Marting )
                           (Reproduced by courtesy of the SPE of the AIME)                            220

               Fig. 7.33   (a) Amerada pressure gauge; (b) Amerada chart for a typical pressure buildup
                           survey in a producing well                                                 222

               Fig. 7.34   Lowering the Amerada into the hole against the flowing well stream         223

               Fig. 7.35   Correction of measured pressures to datum; (a) well position in the reservoir, (b)
                           well completion design                                                     223

               Fig. 7.36   Extreme fluid distributions in the well; (a) with water entry and no rise in the
                           tubing head pressure, (b) without water entry and with a rise in the THP   224

               Fig. 7.37   Pressure buildup plot dominated by afterflow                               225

               Fig. 7.38   Russell plot for analysing the effects of afterflow                        226

               Fig. 7.39   (a) Pressure buildup plot on transparent paper for overlay on (b) McKinley type
                           curves, derived by computer solution of the complex afterflow problem      227
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               Fig. 7.40   McKinley type curves for 1 min <∆t < 1000 min. (After McKinley )  (Reproduced
                           by courtesy of the SPE of the AIME)                                        228

               Fig. 7.41   Buildup plot superimposed on a particular McKinley type curve for T/F = 5000 230

               Fig. 7.42   Deviation of observed buildup from a McKinley type curve, indicating the
                           presence of skin                                                           230
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