Using Stehfest Numerical Laplace Inversion algorithm to simulate well pressure response.
Through the stehfest numerical inverse transformation method (1976), we can calculate dimensionless wellbore pressure in real space. The Laplace transform method can be given by (1)
The variable N could be one of the even numbers from 6 to 18. In this case we use the V(i)V(i) with Stehfest parameter N=8
Using the stehfest algorithm in the infinite acting reservoir with WBS and skin equation (2), we can get dimensionless pressure in real space.
In EOF units, the dimensionless variables are defined as:
We can define Stehfest algorithm in R lenguaje to calculate well pressure response and fit well pressure data, for more information and code visit our blog