Premium
A mathematical model of permeability alteration around wells
Author(s) -
Olarewaju Joseph S.
Publication year - 1990
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610140303
Subject(s) - permeability (electromagnetism) , wellbore , composite number , petroleum engineering , geology , geotechnical engineering , discontinuity (linguistics) , mechanics , materials science , mathematics , chemistry , composite material , mathematical analysis , biochemistry , physics , membrane
This paper presents an analytical solution of the permeability alteration problem around the wellbore. This alteration may be a permeability reduction due to drilling fluid invasion or mudcake formation around the wellbore. On the other hand, the alteration may be a permeability increase resulting from stimulation by acidizing the formation matrix around the well. This permeability discontinuity in a reservoir forms a composite reservoir system. With the composite model, both the degree and the radial extent of permeability alteration can be adequately predicted. The conventional skin concept is inadequate and physically unrealistic in most of these cases. This paper describes the application of an automatic weighted constrained least‐squares parameter estimation technique and the analytical model for pressure transient analysis. The parameters of the composite reservoir system are determined from a match of the pressure transient data. The behaviour of the pressure transient in such composite systems is presented using the analytical solution.