Hydraulic Fracturing Whether mobility and diffusivity will get influenced
if the viscosity of the injected fluid
remains significantly different
from that of the pore-fluid
in the reservoir?
And in turn,
would influence ‘fracture toughness’ and ‘strain modulus’?
If so, fracture toughness can be assumed to be insignificant?
When the crack keeps propagating
within the reservoir formation,
how exactly to define the fluid flow regime
within the crack:
As an Elliptic PDE
because of the closure by the fracture tip
(depending only on the fracture surface boundary values and remaining time-independent)
or
as a parabolic PDE
by assuming a connected fracture network
(with time-dependency as well)?
As the fracture density keeps increasing with time,
whether the fluid storage within the fracture
will still remain negligible
in comparison
with that of
the volume of the fluid injected?
Apart from far-field stress and pore-pressure;
whether viscosity, mobility, diffusivity, elastic modulus and the fluid injection rate - can be considered (approximated)
to be a constant?
Can the fluid flow in a crack
be described
using Reynolds lubrication equation,
when the crack remains closed at its tip
(with zero fracture aperture thickness at a point along its flow direction)?
Can we simply approximate it using a Neumann type boundary condition - by
assuming that the fluid flux gets vanished @ the crack tip)?
Whether application of superposition of elastic dislocations
using singular integral equation
remain valid
for a crack with warped (undulated or zig-zag) fracture surfaces?
In the absence of asymmetry,
can we deduce elastic kernel?
Will it be feasible to deduce
the reduction in pore-pressure loss
resulting from the fluid leak-off (from the crack) -
from that of the additional pore-pressure
induced from the generated cracks –
following the distribution of
initial pore-pressure
at early times?
You can assume the lubrication theory is valid and the flow is driven by a 2D pressure gradient. Then you solve the equations for volumetric rate and check if this model is valid for your case.
Hope this will help.
Ekrem
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