Deliverability of Wells in Shallow Confined Aquifers of Non-Integer Spatial Dimensions
Original version
GSTF Journal of Engineering Technology (JET) 2015, 3(2):99-102 10.5176/2251-3701_3.2.133Abstract
We propose a generalized methodology to predict
the deliverability of wells in fractional drainage areas. A
fractional model is characterized by a single term power-law
variation of the rock properties. Such a model may provide a
more realistic alternative than the traditional homogeneous
reservoir model. For example, the traditional models may not be
applicable for sparse fracture networks. We assume the validity
of the fractional model and find that the homogeneous solution is
included in the generalized model as a special case. Simultaneous
solution of the reservoir- and vertical lift equation leads to an
algebraic equation of second degree. Hence, the prediction of the
flow rate delivered into a pipe-line at any pressure is easily
available. We investigate the sensitivity of the flow rate to
variations in wellbore head, reservoir and flow string properties.