# 3 foroozesh barzegari ayatollahi

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: ( *) # \$ \$ \$ 1 +\$ % 3 3 ) \$ * * 6 \$ + ) ) - ) *( 9( : %% ' ( 3( * * - # % ( \$ 6 % + # % \$# )+ &% 8 + \$# 8 ( -' %( % ' * .2 * * 3 # ) ) % \$ \$ " 4 5 +. 7/ +. " / * ) * \$ %\$ ' ) % \$) 3 \$ ( )% ( ! " %% ) %( *) \$ + , -. \$ # * \$ %* 5\$ \$ +3 - + - ( ). ( ! 3 * % ) ) ( \$ \$) %() % ( % Foroozesh, Barzegari, Ayatollahi, Jahanmiri method, the fully implicit method utilizes the pressure and saturation implicitly in new time(n+1). Therefore, more running time is required and mathematical complexity is greater. ⎡ΔT n + 1Δφ n + 1 ⎤ = o ⎥ ik ⎢o ⎣ ⎦ ⎡ΔT n + 1Δφ n + 1 ⎤ = w ⎥ ik ⎢w ⎣ ⎦ Vp ik Δt Vp ik Δt n ⎛S ⎞ Δ t ⎜ o ⎟ + q oik ⎜B ⎟ ⎝ o ⎠ik ⎛S Δt ⎜ w ⎜B ⎝w n ⎞ ⎟ +q wik ⎟ ⎠ik These equations have been developed in residual format and the iterative method or approximate direct method were used in an attempt to solve them. Moreover, two factors have been considered: (1) the outlet effect, which requires that capillary pressure to approach zero at the sand face, and (2) the compatibility condition, as the vertical pressure gradeint in the well must be the same as the pressure gradient at the reservoir/wellbore boundary...
View Full Document

## This note was uploaded on 02/01/2014 for the course MOGE 9114 taught by Professor Thomod during the Spring '13 term at Memorial University.

Ask a homework question - tutors are online