Consider a 2D reservoir with 7 by 7 grid blocks. Based on some simplifying assumptions, you know that you can use the steady state equation below to solve for pressure in the reservoir.
(?^2 P)/(?x^2 )+(?^2 P)/(?y^2 )=0
The equation above can be shown as below when finite difference approximation is used.

(P_(i+1,j)-2P_(i,j)+P_(i-1,j))/?(?x)?^2 +(P_(i,j+1)-2P_(i,j)+P_(i,j-1))/?(?y)?^2 =0

Solve for this equation to get pressure distribution in the reservoir. Make a 2D pressure map (contours) by using MATLAB plotting features. Do not forget about color bars and units. Pressure at the boundaries is 1000 psia (orange grid blocks) and the well block pressure (shown with blue color) is set at 100 psia.
Grid block are uniform and ?x=?y=100 ft. There are 24 grid blocks with unknown pressures. 24 equations are required to solve for 24 unknowns. Use i and j notations (shown for some grid blocks in the picture below) to write the required equations and solve the system of 24 unknown, 24 equations to solve for pressures.


Do you lack time and skills to write this paper, We have expert writers in this subject who can handle all your questions in the shortest time. We promise and deliver quality ONLY. Our clients are always satisfied and come back for more of our custom essays.

We take plagiarism seriously. For this reason all essays are written from scratch and delivered to one client only. Another client ordering the same paper would get a totally different writer and paper altogether. Once done, our quality department checks the papers for plagiarism and grammar mistake using one of the premium plagiarism checkers on the internet. This eliminates any chances of plagiarism to 0. Once done, you have up to a month for unlimited revision and even more in case of a dissertation.

For this reason, you have no need to worry about the Quality and the originality of the papers we prepare.

ORDER today and enjoy yourself as we handle everything for you.

Order NOW