Petroleum Production Engineering: A Computer-Assisted Approach

Chapter 3: Reservoir Deliverability

3.1 Introduction

Reservoir deliverability is defined as the oil or gas production rate achievable from reservoir at a given bottom-hole pressure. It is a major factor affecting well deliverability. Reservoir deliverability determines types of completion and artificial lift methods to be used. A thorough knowledge of reservoir productivity is essential for production engineers.

Reservoir deliverability depends on several factors including the following:

  • Reservoir pressure

  • Pay zone thickness and permeability

  • Reservoir boundary type and distance

  • Wellbore radius

  • Reservoir fluid properties

  • Near-wellbore condition

  • Reservoir relative permeabilities

Reservoir deliverability can be mathematically modeled on the basis of flow regimes such as transient flow, steady state flow, and pseudo-steady state flow. An analytical relation between bottom-hole pressure and production rate can be formulated for a given flow regime. The relation is called "inflow performance relationship" (IPR). This chapter addresses the procedures used for establishing IPR of different types of reservoirs and well configurations.

3.2 Flow Regimes

When a vertical well is open to produce oil at production rate q, it creates a pressure funnel of radius r around the wellbore, as illustrated by the dotted line in Fig. 3.1a. In this reservoir model, the h is the reservoir thickness, k is the effective horizontal reservoir permeability to oil, ? o is viscosity of oil, B o is oil formation volume factor, r w is wellbore radius, p wf is the flowing bottom hole pressure, and p is the pressure in the reservoir at the distance

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