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Inputs

Outputs

LaTeX Math Inline

body	q_t

total sandface rate

LaTeX Math Inline

body	p(r)

reservoir pressure

LaTeX Math Inline

body	{p_i}

initial formation pressure

LaTeX Math Inline

body	p_{wf}

well bottomhole pressure

LaTeX Math Inline

body	\sigma

transmissibility,

LaTeX Math Inline

body	\sigma = \frac{k \, h}{\mu}

LaTeX Math Inline

body	S

LaTeX Math Inline

body	r_w

wellbore radius

LaTeX Math Inline

body	r_e

drainage radius

Expand

title	Detailing

total compressibility,

LaTeX Math Inline

body	c_t = c_r + c

LaTeX Math Inline

body

LaTeX Math Inline

body	k

absolute permeability

LaTeX Math Inline

body

c_t

h

effective thickness

LaTeX Math Inline

body	{c_r}

pore compressibility

LaTeX Math Inline

body	\mu

dynamic fluid viscosity

LaTeX Math Inline

body	c

fluid compressibility

LaTeX Math Inline

body	{\phi}

Physical Model

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Radial fluid flow

Homogenous reservoir

Finite reservoir flow boundary

Slightly compressible fluid flow

Constant rate

Constant skin

LaTeX Math Inline

body	p(t, {\bf r}) \rightarrow p(r)

LaTeX Math Inline

body	{\bf r} \in ℝ^2 = \{ x, y\}

LaTeX Math Inline

body	M(r, p)=M =\rm const

LaTeX Math Inline

body	\phi(r, p)=\phi =\rm const

LaTeX Math Inline

body	h(r)=h =\rm const

LaTeX Math Inline

body	c_r(r)=c_r =\rm const

LaTeX Math Inline

body	r_w \leq r \leq r_e < \infty

LaTeX Math Inline

body	c_t(r,p) = \rm const

LaTeX Math Inline

body	q_t = \rm const

LaTeX Math Inline

body	S = \rm const

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