Unsteady State Aquifer Representations Introduction Analyses of well test and aquifer pressure responses share a common theoretical basis, the diffusivity equation. Both seek to identify potentially nonunique model parameters. Unlike well testing, the aquifer analyses must work from observational data, very different from a designed test. Also, the time span is commonly in terms of several years. The representation of the aquifer may be used in calculation of original gas or oil in place, or in the forecasting of production. The model requires assumptions or estimates of the following:
The irregular shape may be accomodated by either numerical simulation or by using an apparent radius and angle which provide a reasonable equivalent shape. This is discussed in Craft and Hawkins. Similarly, for nonuniform properties, calculation of aquifer volume, and adjusting porosity may be one method. Simulation is another alternative. We will review three Van EverdingenHurst unsteady state models, which are:
There are other forms including the bottom water drive, which we hope to add later. Additionally, the CarterTracy model is used in reservoir simulation. Fetkovich method is an approximation to VEH, with the assumption of pseudo steadystate and was easier to hand calculate. However, today when material balance is done on the computer, the need for simplified solutions is less (except in the academic setting of course). Calculation of Cumulative Water Influx (We)

Commercial Programs
Common programs are MBAL (Petroleum Experts or Petex.com) and OILWAT and GASWAT (IHS). Many more commercial programs are available,
References:
1. Lee, J. and Wattenbarger, R. Gas Reservoir Engineering, 1996, pages 236 245
2. Craft, B, Hawkins, M., and Terry, R., Applied Petroleum Reservoir Engineering, 1990, pages 282 325.
3. Dake, L.P., Fundementals of Reservoir Engineering, 1978, pages 304 to 313.
4. Walsh, M. Oil Reservoir Primary Recovery Mechanism, Petroleum Engineering Handbook, pages V936 to V945