MProd: Production Model Theory

Click here to download the Meyer 2008 User’s Guide, including more information about Production Model theory

Productivity Ratio vs. Time plot in MProd Three distinct analytical models are contained in MProd for performing production simulations on different types of reservoirs. The basic reservoir production model (i.e., No Fracture) is based on the transient behavior of a well in a closed (finite) reservoir. The method of images is used to generate rectangular drainage shapes in closed formations. Drainage area aspect ratios can be as large as 100.

The hydraulically fractured models employed are based on a finite conductivity vertical fracture. The analytical method used was developed by coupling the short time solution of Lee and Brockenbrough (1986) with the well known semi-log asymptotic (pseudo-radial) solution that has been publish by many authors. These models are applicable for all flow regimes from linear, bilinear, trilinear to pseudo-radial.

All of the models used in MProd allow either a rate or pressure boundary condition at the well. Using the principle of superposition, a series of rates or pressures may be specified. For closed systems, the concept of desuperposition has been incorporated to simulate the effects of wellbore and fracture skin on the production.

Available for use with either gas or liquid, the numerical solutions have been improved over earlier versions (version 3.0 or earlier) for low conductivity fractures. The transition from trilinear to pseudo-radial flow has increased accuracy for very low values of F_CD ( > 0.001). The transition is now calculated in Laplace space eliminating the need to specify time steps that are sufficiently small at the match point.

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