- #1

Fr4ct4l

- 5

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Hello all, need help with the following

I am deriving an analytical solution for a problem in petroleum engineering. It concerns fluid flow in porous media. Anyway, the equation is (see attachment)

P is pressure, it is a function of space in x-direction, so P(x)

d, THETA, and z are just constants

What is the general solution ?

I think I have to 'transform' it to a version amenable to the 'modified bessel function equation', but I am not sure how to do this.

I have the boundary conditions, I can take it from there...

Any help would be greatly appreciated ! I am doing this for my masters thesis, this is not just a classic PDE class exercise.

I am deriving an analytical solution for a problem in petroleum engineering. It concerns fluid flow in porous media. Anyway, the equation is (see attachment)

P is pressure, it is a function of space in x-direction, so P(x)

d, THETA, and z are just constants

What is the general solution ?

I think I have to 'transform' it to a version amenable to the 'modified bessel function equation', but I am not sure how to do this.

I have the boundary conditions, I can take it from there...

Any help would be greatly appreciated ! I am doing this for my masters thesis, this is not just a classic PDE class exercise.