The analytical approach developed in this paper calculates the poroelastic coupled
time-dependent stress and pore pressure variations for an inclined borehole drilled in
a fluid saturated porous medium and subjected to the far-field three-dimensional
in-situ stresses in addition to a fluid discharge over a finite length of its surface. This
problem is encountered in many engineering applications, in particular, in
wellbore drilling, fluid injection, and production. A superposition scheme
is employed to obtain the analytical solutions within the linear theory of
poromechanics. The comparison with an earlier published solution shows a
discrepancy in the poroelastic boundary conditions applied at the wellbore
wall. In this solution a systematic analysis is being carried out to evaluate
the effects of the mechanical parameters on the calculated time-dependent
effective tangential stress and pore pressure in addition to the effects of
the borehole inclination and the geometry of the flux loading area are also
included.
Keywords
inclined borehole, poromechanics, fluid discharge, stress
and pore pressure, hydraulic fracturing, integral transform
The University of Oklahoma
Poromechanics Institute
Mewbourne School of Petroleum & Geological
Engineering
100 East Boyd Street
Norman, OK 73019-1014
United States
The University of Oklahoma
Poromechanics Institute
Mewbourne School of Petroleum & Geological
Engineering
100 East Boyd Street
Norman, OK 73019-1014
United States