 # 1) The relationship between the flow rate (q) and cumulative produc...

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1) The relationship between the flow rate (q) and cumulative production (N,) from an oil well is following the below equation, where qiis the initial flow rate (flow rate time zero) and D1 the nominal decline rate. N,=91-9 D Find Di and by linear regression curve fitting and calculate the goodness of the matel (R²). Note: You are NOT allowed touse any plots and show your step by step linear regression Np, STB 9, STBD 100,000 182,000 245,000 ,000 300,000 345,000 380,000 415,000 440,000 460,000 475,000 490,000 500,000 300 2) A well with one year production history is believedt have: flow rate (q)vs. time (f) relationship with the following mathematical equation: ai Where quis the initial flow rate and Diis the nominal decline rate. Find Di and by linear regression curve fitting and calculate the goodness of the match(R²). Note: You are NOT allowed touse any plots and show your step by step linear regression Hint: To linearize the equation, take both sides of the equation to the power (-0.5) and rearrange the equation Y=AX+B form. Time, Month ,STBD 4440 4052 3964 3) From PNGE 333, you remember the infinite-acting oil reservoirs follow this equation through draw-down: Where: aus m=-162-6961 For the given pressure vs time table and data by using linear regression (NO EXCEL PLOTS) calculare the permeability. initial pressure (Pi) and the Time, hr Pwf, psia 1900 1836 1814 1806 758 1680 q=500 STBD p-l.lep B-1.1 1-20 ft 0-0.2 n-0.25ff S-0 4) Archie's equation, which one of the most important equations in well logging, shows the relationship between rock properties and water saturation (Sw)as follow: Rw S. Where R. the (connate) water resistivity. R, the true resistivity of formation, "m³ the cemeniation factor, "a" is the tortuosity factor and "w" isthe saturation exponent Also. Archie' equation can be used ir water bearing formations (where fully saturated with water S.-100%)tc estimate the formation water resistivity cementation factor which s known Picket plot method Bv using linear regression and NO EXCEL PLOTS calculate the Cemerration Factor "m 'andthe tortuosity factor "a" for the following giventable and data from water zone (S.-100%) o, perosity ohm.m 0.04 0.08 0.066

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