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Non-Darcian flow in a single confined vertical fracture toward a well
- Source :
-
Journal of Hydrology . Nov2006, Vol. 330 Issue 3/4, p698-708. 11p. - Publication Year :
- 2006
-
Abstract
- Summary: Non-Darcian flow towards a well which fully penetrates a confined single vertical fracture is presented in this paper on the basis of the Izbash equation. We have obtained semi-analytical solutions for non-Darcian flow by using the Boltzmann transform and developed the non-Darcian flow well functions for cases with and without the effect of wellbore storage. The results show that the non-Darcian flow type curves are more or less deviated from the Darcian flow type curve. The non-linear effect is mainly attributable to the turbulent factor, v, a dimensionless parameter related to the pumping rate, the fracture aperture, the fracture thickness, and two constants k′ and n used in the Izbash power-law. The non-linear effect appears to be less sensitive to the power-law index, n. When excluding wellbore storage, the well function at early times is proportional to v −1/(n−1) u −n/(n−1), where u is a dimensionless term inversely proportional to time; whereas the well function at late times is approximated as , where A 0(n) is a finite term depending on n. When considering wellbore storage, drawdowns inside the well with different v values approach the same asymptotic value at small times, and the effect of wellbore storage is only found at the early stage of pumping. [Copyright &y& Elsevier]
- Subjects :
- *ENGINEERING
*HYDROLOGICAL research
*CURVES in engineering
Subjects
Details
- Language :
- English
- ISSN :
- 00221694
- Volume :
- 330
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- Journal of Hydrology
- Publication Type :
- Academic Journal
- Accession number :
- 22797722
- Full Text :
- https://doi.org/10.1016/j.jhydrol.2006.05.001