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1、5.8 Analysis of Gas Well Buildup Tests5.8 Analysis of Gas Well Buildup Tests-1 1ConstantConstant-Rate Production Before Shut InRate Production Before Shut InFor a slightly compressible liquid00ttQPwQ-QTTT+tT+t12()162.6lg()3.230.869ptwk ttqBpskhC r 22162.6()lg()3.230.869twq BktpskhC r162.6lgpwsittqBp

2、pkht Using Superposition method12iwspppp for a gas well,in terms of adjusted variables00ttQPwQ-QTTT+tT+t,12()162.6lg()3.230.869patwk ttqBpskhC r,22162.6()lg()3.230.869atwq BktpskhC r,162.6lgpa wsa ittqBppkht Using Superposition method,1,2a ia wsaapppp mhBqkggg6.162From the semilog graph1/)(aaptttfor

3、 a gas well,in terms of adjusted variables,162.6lgpa wsa ittqBppkht extrapolating the straight line to infinite shut-in timeaapgggiawsatttkhBqpp)(log6.162,2162.6lg()3.230.869pa wfa it wktqBppskhC r,21.151lg3.23lg()a wsa wfpt wpsppttk tmc rt,1,21.151lg3.23ahra wft wppksmc r1t 11pptt,a wfpis BHFP at t

4、he instant of shut in.sExample 5.4-Analysis of a Gas-Well Pressure-Buildup Test With Constant-Rate Production Before Shut-InTABLE 5.9-GAS-WELL PRESSURE-BUILDUP TEST DATA,EXAMPLE 5.4SolutionAnalysis Using Pressure Variables(Fig.5.25).1.Calculate the slope of the line drawn through the semilog straigh

5、t line.m=8,989.7-8,545.1=444.6 psi/cycle2.The permeability to gas ismdmhBqkggg029.0216.4443403.0497.01006.1626.162hrp1attttp/=(2000+1)/1=2001 is 7,522 psia.1221.151log3.237,5226,287.10.0291.151log3.23444.60.1 0.034030.00003550.3650.292hrwftgwppksmc r 3.Calculate the skin factor.The pressureUsing Pre

6、ssure-Squared Variables(Fig 5.26).1.Calculate the slope of the line drawn throughthe semilog straight line.m=80.67106-73.07106=7.60106psi2/cycle2.The permeability to gas is mdmhzTqkgg031.02110760.003403.0325.1670100637,1637,173.Calculate the skin factor.The term at at =2001 is 26106.55psia22126626lo

7、g3.2355.6 1039.53 100.0311.151log3.237.60 100.1 0.034030.00003550.3651.08hrwftgwppksmc r hrp12tttp/Using Adjusted Pressure Variables(Fig.5.27)1.Calculate the slope of the line drawn through the semilog straight line.m=7,553.8-7,117.5=436.3 psi/cycle2.The permeability to gas ismdmhBqkggg030.0213.4360

8、3403.0497.01006.1626.1623.Calculate the skin factor.At an adjusted Horner time ratio of tttp/=(20001)/1=2001,wsap,=6114 psia.,1,221.151log3.236,1144,804.10.0301.151log3.23436.30.10.034030.00003550.3650.04a hra wftgwppksmc r permeabilityskin factorPressure Variables 0.029-0.292Pressure-Squared Variables 0.031-1.08Adjusted Pressure Variables 0.03-0.04Compare three methods5.8 Constant-Rate Production Before Shut In（End)