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2003 Course Reservoir Engineering - I

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Total No. of Questions : 8] P1339 [Total No. of Pages :7 [3864] - 341 B.E. (Petroleum Engineering) RESERVOIR ENGINEERING - I (2003 Course) (412381) Time : 3 Hours] [Max. Marks : 100 Instructions to the candidates: 1) Answers to the two sections should be written in separate answer books. 2) Questions No.1 (One) and 8 (eight) are compulsory. 3) Figures to the right indicate full marks. 4) Neat diagrams must be drawn wherever necessary. 5) Use of a non-programmable calculator, log-log semi-log paper is allowed. 6) Assume suitable data, if necessary. 7) If you attempt question 7, detach Figure 1 & 2 and attach inside the answer booklet. 8) If you attempt question 8, detach Figure 1 and attach inside the answer booklet. SECTION - I Q1) a) What are the activities of a reservoir engineer? [6] b) Explain in detail classification of reserves and how are they are calculated?[6] c) Which drive index has the highest value, explain with the help of an equation? [6] Q2) a) Derive the material balance equation for an undersaturated reservoir considering rock and fluid expansion. [7] b) An undersaturated reservoir producing above the buble point had an initial pressure of 5000 psia, at which pressure Bo was 1.510 bbl/STB. When the pressure dropped to 4600 psia, owing to the production of 100,000 STB of oil, the Bo was 1.52. The connate water saturation was 25%, water compressibility 3.2E 6/psi and porosity was 16%, rock compressibility was 4.0E-6. Average compressibility of oil between 5000 and 4600 psia relative to volume at 5000 is 17E-6. i) Assuming a volumetric reservoir, calculate IOIP ii) It was desired to inventory the initial stock tank barrels in place at the second production interval. When the pressure had dropped to 4200 psia, Bo was 1.531, 205 M STB had been produced. If average compressibility was 17.65E-6, what was IOIP. P.T.O. iii) Q3) a) After analysis of cores and logs, volumetric estimate of IOIP was 7.5 MMSTB. If his figure is correct, how much water entered the reservoir when the pressure declined to 4600 psia. [9] Derive an equation for OGIP using material balance. [4] b ) The initial volume of gas in place in a certain reservoir is calculated from electric log and core data to be 200MMMSCF(14.7 and 60 F) underlying 2250 productive acres, at an initial pressure of 3500 psia and 140F. The pressure production history is Pressure Production MMMSCF Gas deviation factor at 140F 3500(initial) 0.0 0.85 2500 75.0 0.82 i) What is the initial volume of gas in place as calculated from the pressure production history assuming no water influx ii) Assuming uniform sand thickness, porosity, and connate water, if the volume of gas in place from pressure-production data is believed to be correct, how many acres of extension is the reservoir. iii) If, the gas in place is calculated from log and core data is correct, how much water influx must have occurred during the 75 MMMSCF of production to make the two figures agree. [12] Q4) Explain in detail any one of the decline rate type curves (Blasingame, Carter, [16] Fetkovich) used for decline curve analysis. SECTION - II Q5) Derive a new diffusivity equation in Cartesian co-ordinate system by assuming the pressure derivative with respect to distance in NEGLIGIBLE. [16] Q6) a) What is an isochronal test, why is it required? [2] b) Define AOFP [2] c) The following data is for an isochronal test. The data in the table is reported for a flow after flow test. Initial shut in BHP is determined to be 408 psia. Estimate AOFP of this well by the empirical plot and the theoretical equation. [12] [3864]-341 2 Test Pwf or Pws(psia) Initial Shut-in 1952 First Flow 1761 First Shut-in 1952 Second flow 1694 Second Shut -in 1952 Third Flow 1510 Third Shut-in 1952 Fourth flow 1320 Extended flow (stabilized) 1151 Final Shut-in 1952 Qg(MMscf/D) 2.6 3.3 5.0 6.3 6.0 - Duration (hrs) 48 12 15 12 17 12 18 12 72 100 Q7) (If you attempt this question, attach Figure 1 and 2 inside the answer booklet). Analyse the pressure transient test in Figure 1 and 2 for a well producing oil which has produced 13220 STB. Data: =0.17, qo=1135 STB/D, o=0.6 cp, Bo=1.214bbl/STB, ct=18E-6/psi, rw=0.5 ft, h=28ft, pwf=2752 psia, re=1320 ft, well centered in square drainage area( 160 acres ) Determine. a) Time at which afterflow distortion ceased [1] b) Time at which boundary effects begin [1] c) On the graph draw a Unit Slope line, and identify ETR, MTR, LTR on [4] both graphs. Explain the terms ETR, MTR, LTR. d) Formation permeability, skin, ri. [3] e) Find delp skin and flow efficiency. [2] f) Is there a fault in the vicinity of the well, at what distance? [5] Q8) (If you attempt this question, attach Figure 1 inside the answer booklet). a) What is a Derivative Plot? How is it obtained. [2] b) Draw approximately the Derivative plot for the above problem(Q7) on Figure 1 if there is a fault in the vicinity of the well.? State all other well, near well and boundary assumptions for your plot. [6] c ) Give five examples of pressure derivative plots for different reservoir models and explain them. [10] [3864]-341 3 [3864]-341 4 [3864]-341 5 [3864]-341 6 k bkb [3864]-341 7

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