HWK 8 solution - 26.1 3260 2460 413 387 21 3030 2460 332...

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PGE 362 Homework 8 Solution Due at the start of lecture on April 20 There is an excel data set for a mini-frac posted on black board. Please use this data to determine the following. (1) (+1 pt) ISIP 2460 psi read directly from the data at zero rate. (2) (+ 2pts) Minimum horizontal stress from the closure plot. Closure Plot 2340 2360 2380 2400 2420 2440 2460 2480 1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00 9.00 SQRT(Min) SIP (psi) Closure occurs at roughly 36 minutes. The pressure at this point is the closure pressure and is roughly 2400 psi.
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(3) (+2 pts) Based on the closure time compute the fluid efficiency and the fraction of the total volume that must be dedicated to the pad. ( 29 ( 29 ( 29 1.5 1.5 1.5 1.5 c p 1 1 1 1 0.59 1 1 16/ 20 16/ 20 where t is the time to closure from the end of pumping and t is the time to the end of pumping. 1 1 0.59 0.26 1 1 0.59 DC DC c DC p pad i t t t t t V V η = - = - = + ∆ - ∆ + - = - - = = = + + (4) (+1 pt) The fracture entry pressure Pump Rate STP ISIP Pipe Friction Fracture (BPM) (psi) (psi) (psi) Entry (psi)
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Unformatted text preview: 26.1 3260 2460 413 387 21 3030 2460 332 238 15 2820 2460 237 123 10.6 2690 2460 168 62 (5) (+2 pts) The most likely number of perforations open. (6) (+2 pts) The near well bore friction. ISIP 2460 psi Rate STP NWB Perf Total Fric Pipe Fric Frac Entry Pperf Pnwb (BPM) (psi) q^1/2 q^2 Press (psi) (psi) (psi) 26.1 3260 5.108816 681.21 800 413 387 338 49 21 3030 4.582576 441 570 332 238 219 19 15 2820 3.872983 225 360 237 123 112 11 10.6 2690 3.255764 112.36 230 168 62 56 7 Holes Open 22 kperf 0.4962317 NWB and Perf Friction 50 100 150 200 250 300 350 400 450 5 10 15 20 25 30 Rate (BPM) STP (psi) Actual Act Perf Act NWB I select 22 perforations as the most likely open because the general shape of the fracture entry pressure is quadratic. This means the fracture entry pressure should be dominated by perforation friction rather than near well bore friction....
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HWK 8 solution - 26.1 3260 2460 413 387 21 3030 2460 332...

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