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The calculation of pressure rise vs. Distance in the minnelusa formation using the diffusivity equation. The equation involves terms such as pressure differential, flowrate, formation volume factor, viscosity, permeability, reservoir thickness, formation effective porosity, total matrix and fluid compressibility, radius, injection time, and skin factor. The document also includes various calculations for different areas and injection rates.
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Calculated Pressure Rise vs. Distance (Diffusivity Equation) - Minnelusa Formation Based on 12 Years of Injection Activity at 75 GPM
dp= -70.6[(qBu)/(kh)][ln(1688.388poructrw^2/kt)-2s] where dp= pressure differential solve psi proposed flow rate max flow rate q= flowrate (STB/d) 3,977.14 bbl/d 116 gpm 170 gpm 5828.571 bbl/d DW No. 1 Burdock Area based on Unkpapa/Sundance B= formation volume factor (RB/STB) 1.01 RB/STB 234 gpm 8022.857 bbl/d DW No.3 Dewey Area based on Unkpapa/Sundance u= viscosity (cp) 0.74 cp 110 gpm 3771.429 bbl/d DW No. 1. Burdock Area based on Madison k= permeabilitiy (md) 150 md 97 gpm 3325.714 bbl/d DW No. 3 Dewey Area based on Madison h= reservoir thickness (feet) 164 feet por= formation effective porosity (percent) 0.1 fraction ct= total matrix and fluid compressibility (1/psi) 6.50E-06 psi - rw= radius (feet) variable feet t= injection time (hours) 105216 12 years (incl 4 leap years) s= skin factor (units) 0
nearest potential pathway through confining zone:
Burdock Area: Earl Darrow # Dewey Area: Dewey Fault Term 1= -70.6(qBu/kh) Injection Rate (gpm)= 75 2571.428571 bbl/d Term 2= (poructrw^2/kt) dp= Term 1 * ln(1688.388Term2) Radius (rw) (ft) Term 1 Term 2 [ln(1688.388*Term 2) - 2s]
dp (psi) 0.26042 -8.53088 2.06691E-15 -26.3809028 225. 50 -8.53088 7.61925E-11 -15.8659376 135. 475 -8.53088 6.87637E-09 -11.36335405 96.94 Pc=97.1 for Minn to Unpapa/Sundance Burdock Area 500 -8.53088 7.61925E-09 -11.26076746 96.06 Pc=96.1 for Minn to Unpapa/Sundance Dewey Area 18480 -8.53088 1.04082E-05 -4.041094963 34.47 Pc=34.8 for Minn to Madison Burdock Area 13200 -8.53088 5.31031E-06 -4.714039436 40.21 Pc=40.3 for Minn to Madison Dewey Area Calculating max injection rate by determining the rate that extends the critical pressure to 1000 feet away from the nearest potential breach in confining zone: 2900 -12.50215 2.56311E-07 -7.745051622 96.83 Pc=97.1 for Minn to Unpapa/Sundance Burdock Area based in distance to Earl Darrow #1 of 3,900 from DW No. 1 8375 -17.20885 2.13767E-06 -5.62397094 96.78 Pc=96.1 for Minn to Unpapa/Sundance Dewey Area based in distance to Dewey Fault of 9,375 from DW No. 3 16250 -8.08963 8.04783E-06 -4.298287278 34.77 Pc=34.8 for Minn to Madison Burdock Area based in distance to Lance Nelson of 17,250 from DW No. 1 8375 -7.13358 2.13767E-06 -5.62397094 40.12 Pc=40.3 for Minn to Madison Dewey Area based in distance to Dewey Fault of 9,375 from DW No. 3
3,900 feet away from the Class V injection wells in the Burdock Area. 9,375 feet from the Class V injection wells in the Dewey Area