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Well Test Analysis for Multilayered Reservoirs with Formation Crossflow by Chengtai Gao, Hedong Sun

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Appendix G

Case for Constant Wellhead Rate (Chapter 8)

Suppose the well flows at a constant wellhead rate qr in the testing period. The wellbore storage of the second layer is negligible. The first layer has wellbore storage coefficient CD. In this case, condition Eq. (F.8) is replaced by

CDdpwD1dtDj=12wjrDpDjrDrD=1=1

si1_e  (G.1)

Its Laplace transform is

CDσDp¯wD1j=12wjrDdp¯DjdrDrD=1=1σD

si2_e  (G.2)

or

j=12wjrDdp¯DjdrDrD=1=1σD1CDσD2p¯wD1

si3_e  

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