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: density of frac fluid {ppg} : specific gravity of frac fluid : specific gravity of propping agent x : concentration of propping agent {ppg ρf ϒp x 2% KCL LSP HSP 1.01 2.7 3.4 0.5 1.01 1 1.01 1.5 1.01 2 1.01 2.5 1.01 3 1.01 3.5 1.01 4 1.01 4.5 1.01 5 1.01 5.5 1.01 6 1.01 6.5 1.01 7 1.01 7.5 1.01 8 1.01 8.5 1.01 9 1.01 9.5 1.01 10 1.01 10.5 1.01 11 1.01 11.5 1.01 12 1.01 12.5 1.01 13 1.01 13.5 1.01 14 1.01 14.5 1.01 15 1.01 15.5 1.01 16 1.01 16.5 1.01 17 1.01 17.5 ρf ϒf ρf=((8.34*ϒf)+x)/(1+(x ϒp X-linked Gel

HF Calculations

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HF Calculations

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Pressure Marginf:density of frac fluid {ppg}f:specific gravity of frac fluidf=((8.34*f)+x)/(1+(x/(8.34*p)))p:specific gravity of propping agentx:concentration of propping agent {ppg}fpx2% KCLX-linked GelLSPHSP1.012.653.40.51.0111.011.51.0121.012.51.0131.013.51.0141.014.51.0151.015.51.0161.016.51.0171.017.51.0181.018.51.0191.019.51.01101.0110.51.01111.0111.51.01121.0112.51.01131.0113.51.01141.0114.51.01151.0115.51.01161.0116.51.01171.0117.51.01181.0118.51.01191.0119.51.0120

Sheet1Phydrostatic=(slurry water) 0.433 x 3.28 psim Depth mslurry=frac fluid+ Pcon[1 + (AVF Pcon)]water=8.33lbsgalfrac fluid =10lbsgal

Absolute Volume Factors (AVF) for Various ProppantsProppant TypeSpecific GravityAVF (gals/lb)Sand2.650.0456Where:Resin Coated Sand2.560.0472EconoProp/ValuProp2.70.0448slurry:density of proppant-laden slurry, lbs/galCarboLite/Naplite2.730.0443frac fluid:density of fracturing fluid, lbs/galCarboProp/Interprop3.290.0367AVF:Absolute Volume Factor of the proppant, gals/lbBauxite3.590.0337Pcon:proppant concentration, lbs/gal (ppa)

For Pumping Rate 14.2 BPMPconslurryPressure Margin psi/mSandBauxiteSandBauxiteFlushFlush2% KCLGel2% KCLGel010102.21872998802.50472998800.510.265936644510.32600678572.26407138780.04534139982.56031316650.0555831785110.520275439910.64138531492.30743538910.08870540112.61408425930.10935427131.510.763758891810.94664699442.34894858690.13021859892.66613045950.1614004715210.997067448711.24227093872.38872699560.16999700762.71653345470.21180346672.511.220825852811.52870647912.4268771320.2081471442.76536985470.2606398667311.435608726211.80637544272.46349696730.24476697932.81271157970.30798159173.511.641945498412.07567422512.49867676770.27994677972.85862621390.3538962259411.840324763212.33697567852.53249983690.31376984892.90317732750.39844733954.512.031198141412.5906308342.56504317510.34631318712.94642477020.4416947822512.214983713412.8369704752.59637806350.37764807552.98842493970.48369495175.512.392069075813.07630657612.62657058630.40784059833.02923102660.5245010386612.562814070413.30893362172.65568209550.43695210753.06889323970.56416325176.512.727553224313.53512981422.68376962680.46503963883.10745901170.6027290237712.886597938113.75515818432.71088627320.49215628523.14497318840.64024320047.513.040238450113.96926761132.73708151940.51835153143.18147820310.6767482152813.188745603814.17769376182.76240154340.54367155543.21701423630.71228424838.513.332372441614.38065995572.78688948820.56815950023.25161936320.7468893752913.471355643814.57837796362.8105857070.5918557193.28532969020.78059970229.513.605916829514.77104874452.83352798530.61479799733.31817948010.81344949211013.736263736314.95886312642.85575174180.63702175383.35020126850.845471280510.513.862591290215.14200243752.87729021060.65856022263.38142597140.87669598341113.985082578615.32063908952.89817460760.67944461963.41188298450.907152996511.514.10390973515.49493711942.91843428120.69970429323.44160027540.93687028741214.219234746615.66505269152.93809684950.71936686153.47060446990.965874481912.514.331210191115.83113456462.95718832670.73845833873.49892093090.99419094291314.439979909615.99332452542.97573323730.75700324933.52657383241.021843844413.514.545679623716.15175779242.99375472130.77502473333.55358622891.04885624091414.648437516.30656339183.01127463090.79254464293.5799801191.07525013114.514.748374668916.45786450813.02831361820.80958363023.60577650531.10104651731514.845605700716.6057788113.04489121730.82616122933.630995451.12626546215.514.940239043816.75041876053.06102591830.84229593033.65565612731.15092613931615.032377428316.89189189193.07673523630.85800524843.67977687161.175046883616.515.122118237817.03030108293.0920357750.8733057873.70337522331.19864523531715.209553853117.16574480263.1069432850.8882132973.7264679711.22173798317.515.294771968917.29831734553.1214727180.902742733.74907119171.24434120371815.377855887517.42810905023.13563827680.91690828883.77120028781.266470299818.515.458884790617.55520650473.14945346160.93072347363.79287002241.28814003441915.537933990617.67969273913.16293111290.94420112493.81409455171.309364563719.515.615075164117.80164740673.17608345150.95735346353.83488745651.33015746852015.69037656917.92114695343.18892211510.97019212713.85526177061.3505317826

Sheet22 7/8 " Tubing, HL_2% KCl2 7/8 " Tubing, WSS 45 FluidRateFriction PrRateFriction Prbpmpsi/1000ftpsi/1000mbpmpsi/1000ftpsi/1000m4.2111364.084.21003285.86213698.645.86140459.27.23081010.247.2172564.168.364031321.848.36200656105561823.6810240787.211.67262381.2811.6278911.8412.97802558.412.93101016.814.210443424.3214.23681207.0415.912804198.415.93801246.4