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

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Appendix D

Approximate Solution for a Well Producing From All Layers at a Constant Rate (Chapter 7)

Suppose a well penetrates an n-layer reservoir completely and produces at a constant total rate q from t=0si1_e. Under the assumptions stated above, the problem can be expressed as follows:

pitηirrrpir+k˜i1bipipi1+k˜ibipipi+1=0,k˜0=k˜n=0,i=1,2,,n

si2_e

i=1n2πkihiμrpirr=rw=Bi=1nqi=Bq

si3_e

pwf=p1rwtBq1μ2πk1h1s1==pnrwtBqnμ2πknhnsn

pip0,i=

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