Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytical solutions from integral transforms for transient fluid flow
  in naturally fractured porous media with and without boundary flux   A kind of problems of radially symmetric transient fluid flow in a medium
with a geometry similar to a hollow-disk can be addressed using the finite
Hankel transform. However, the inverse Hankel transform [G. Cinelli, Int. J.
Engng. Sci., 3, 539 (1965)] works well only for homogeneous boundary
conditions. We use the finite Hankel transform, together with the Laplace
transform, to solve partial dfferential equations with inhomogeneous boundary
conditions. With this aim, we propose a method to obtain an analytical solution
of the problem of fluid flow in a finite naturally fractured reservoir with
inner and outer boundaries having constant and time-dependent conditions,
respectively. We assume that the reservoir has a producing well, with either
constant terminal pressure or constant terminal rate, while the outer boundary
has either an influx recharge or constant pressure. Using these case studies,
we show that a part of the inverse transformation given by Cinelli can be
expressed as closed formulas for long time solutions, at the same time that
make it possible to capture the inhomogeneous condition and speed up the
convergence of solutions. For Neumann-Neumann conditions, we show that the
inverse expression of Cinelli is incomplete. In addition, an analysis of the
flow characteristic curves in a reservoir with influx recharge is presented.
The drawdown pressure curves are used to elucidate the statement that the
pressure drop of a single-porosity reservoir with influx recharge resembles the
flow behavior in a double-porosity closed reservoir, establishing a criteria to
distinguish between both.

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The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol