Abstract
A semi-analytical model for the transient flow problem of a partially penetrating well in three-dimensional anisotropic two-layer confined aquifer is developed by taking the cross-flow between two layers into consideration. Using the Green function and boundary element method in Laplace space, a matrix is established and solved by Gauss’s elimination method. The drawdown solution is inverted to the time domain by using numerical inversion algorithm of Stehfest (1970). Importantly, the time of cross-flow occurrence can be indicated precisely. Moreover, the flow rate on penetrating segments and interfaces between layers at different flow stages are quantitatively investigated. The comparison between the semi-analytical solution and numerical solution shows an excellent agreement. In addition, one case for aquifer with two separate layers and another case for one single layer with an overlying gas cap or an underlying aquifer are also presented to show the differences between that with or without cross-flow effect. Finally, influencing factors including cross-flow coefficient, anisotropic factor, penetrating location, and penetrating ratio on both flow rate and drawdown are analyzed in detail.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
