Aquifer Influx Models and Solutions
Lecture-4 aquifer influx models
Pot aquifer
Schilthuis’ steady-state
Hurst’s modified steady-state
The van Everdingen-Hurst unsteady-state
Edge-water drive
Bottom-water drive
Linear-water drive
The Carter-Tracy unsteady-state
Fetkovich’s method
Radial aquifer
Linear aquifer
Do you know Farouk Al Kasim?
Problem-1 Tarek Ahmed
or
Water influx constant
Problem-3 Schilthuis
Water influx models
Hurst’s modified steady-state model.
The problem with the Schilthuis’ steady-state model is that the water is drained from the
aquifer, the aquifer drainage radius ra will increase as the time increases. Hurst (1948)
proposed that the aquifer radius ra will be a function of time.
Dimensionless radius
Schilthuis’ model will be
Determination of the two unknown constants a and C.
Example 10-5 Hurst
Solution
Solution
Solution
Using any point at the straight line to find the constant a
Solution
The van Everdingen-Hurst unsteady-state
Dimensionless diffusivity equation
Van Everdingen-Hurst
They solved diffusivity equation for
Water influx by applying the laplace transformation
The constant terminal presssure at the initial and outer boundary condtions
The Van Hurst assumed that the aquifer is characterized by:
Water does not encroach on all sides of the reservoir, or the reservoir is not
circular in nature.
Example 10-6 Van Everdingen and Hurst
Use table 10-1 (Tarek Ahmed), take the average of WeD between two points of tD if the
given tD is in between.
Then calculate the cumulative water influx by:
What is wrong
here ?
See you next time inshallah
HAVE A NICE TIME
Explore various aquifer influx models such as Schilthuis, Hurst's modified steady-state, and the van Everdingen-Hurst unsteady-state. Learn about the challenges with the Schilthuis model and how to determine unknown constants. Dive into solutions and examples to enhance your understanding.
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Presentation Transcript
Lecture-4 aquifer influx models Pot aquifer Schilthuis steady-state Hurst s modified steady-state The van Everdingen-Hurst unsteady-state Edge-water drive Bottom-water drive Linear-water drive The Carter-Tracy unsteady-state Fetkovich s method Radial aquifer Linear aquifer
Water influx models Hurst s modified steady-state model. The problem with the Schilthuis steady-state model is that the water is drained from the aquifer, the aquifer drainage radius ra will increase as the time increases. Hurst (1948) proposed that the aquifer radius ra will be a function of time. Dimensionless radius Schilthuis model will be
Solution Using any point at the straight line to find the constant a
The van Everdingen-Hurst unsteady-state Dimensionless diffusivity equation Van Everdingen-Hurst They solved diffusivity equation for Water influx by applying the laplace transformation
The constant terminal presssure at the initial and outer boundary condtions The Van Hurst assumed that the aquifer is characterized by:
Water does not encroach on all sides of the reservoir, or the reservoir is not circular in nature.
Use table 10-1 (Tarek Ahmed), take the average of WeD between two points of tD if the given tD is in between. What is wrong here ? Then calculate the cumulative water influx by:
See you next time inshallah HAVE A NICE TIME
