A cylindrical crude oil reservoir with a radius of 3000 ft is under water influx from a cylindrical aquifer with an estimated radius of 9000 ft. The reservoir has the following properties.
\(\text{Aquifer thickness, } h = 40 \, \text{ft}, \text{ Porosity, } \phi = 15%, \)
\(\text{Formation compressibility, } C_f = 4.5 \times 10^{-6} \, \text{psi}^{-1}, \text{ Water compressibility, } C_w = 4.0 \times 10^{-6} \, {psi}^{-1}.\)
Assuming a pot reservoir model with fractional encroachment angle as unity, the water influx into the reservoir for a pressure drop of 700 psi is \(\underline{\hspace{2cm}}\) MMbbl (million barrels) (round off to two decimal places).
Four different multilateral well patterns (Forked, Branched, Dual opening and Splayed) are shown in the figure. Which ONE of the following options correctly identifies the multilateral well patterns?

For a hydrocarbon reservoir, the following parameters are used in the general material balance equation (MBE). 
The total pore volume (in rb) of the reservoir is:
Consider the following diffusivity equation for the radial flow of a fluid in an infinite and homogeneous reservoir. \[ \frac{1}{r} \frac{\partial}{\partial r} \left( r \frac{\partial P}{\partial r} \right) = \frac{1}{\eta} \frac{\partial P}{\partial t} \] where, \( P \) denotes pressure, \( r \) is the radial distance from the center of the wellbore, \( t \) denotes time, and \( \eta \) is the diffusivity constant. The initial pressure of the reservoir is \( P_i \). The condition(s) used in the derivation of analytical solution of the above equation for pressure transient analysis in an infinite acting reservoir is/are:
Four different multilateral well patterns (Forked, Branched, Dual opening and Splayed) are shown in the figure. Which ONE of the following options correctly identifies the multilateral well patterns?

For a hydrocarbon reservoir, the following parameters are used in the general material balance equation (MBE). 
The total pore volume (in rb) of the reservoir is:
Consider the following diffusivity equation for the radial flow of a fluid in an infinite and homogeneous reservoir. \[ \frac{1}{r} \frac{\partial}{\partial r} \left( r \frac{\partial P}{\partial r} \right) = \frac{1}{\eta} \frac{\partial P}{\partial t} \] where, \( P \) denotes pressure, \( r \) is the radial distance from the center of the wellbore, \( t \) denotes time, and \( \eta \) is the diffusivity constant. The initial pressure of the reservoir is \( P_i \). The condition(s) used in the derivation of analytical solution of the above equation for pressure transient analysis in an infinite acting reservoir is/are: