# Pump Capacity Determination For Two-Phase Vertical Fluid Flow

Project and Seminar Material for Petroleum Engineering

## Chapter One

### Introduction

#### 1.1 Background Of Study

In the production system, Pressure drop has been a major issue in the field. These pressure drops could be experienced as a result of valves and fittings

installed, due to friction along pipe sections or in lifting fluid up to a certain level.

As these pressure drops are identified, and the economic flow rate of a reservoir fluid is known, pumps may be employed to reduce the effect of pressure drop and maintain a given fluid flow rate for good economic recovery. These pump applications are usually analysed to determine an optimum Hydraulic pump requirement for a given fluid system and pipe diameter. It can form one of the basic aspect to be considered during well completion in selecting production tubing diameter.

In general, a pump is a device used to transport liquids, gases, and slurries. However,the term pump is usually used to refer to liquid handling equipment. The purpose of the pump is to provide a certain pressure at certain flowrate of a process stream. The pressure requirement is dictated by the process andpiping involved, while the flow rate is controlled by the required capacity in thedownhole units.

At least one out of every 10 barrels of oillifted in the worldâ€™s oil and gas operations are produced using an ElectricSubmersible Pump (ESP). Typical installationsproduce liquids in the 2,000 to 20,000 bpd range,making the ESP an effective and economical meansof lifting large volumes of fluids from great depthsunder a variety of well conditions.

There are several types of pumps used for liquid handling. However, these can bedivided into two general forms: positive displacement pumps (including reciprocatingpiston pump and the rotary gear pump), and centrifugal pumps. The selection of thepump type depends on many factor including the flow rate, the pressure, the nature ofthe liquid, power supply, and operating type (continuous or intermittent).

The power requirement for a mechanical system, like pumps and compressors, isgiven by the general mechanical balance equation:

P = -mWs = m 1.1

All terms in this equation take their normal meaning with m being the mass flow rate,and Î± a coefficient used to take into account the velocity profile inside the pipe (forlaminar Î± = 0.5, while for turbulent Î± = 1). The required work (or power) given by Pis the total work that needs to be delivered to the fluid. This work will be drawn froma motor (operated with electricity or engines). The conversion between the motor andpump power is not complete and an efficiency is defined to describe the powerconversion. The efficiency is given by:

The input power can be measured from the source. For example, if the pump is

operated with electricity, the input power will be IĂ—V (current times voltage). Theoutlet power can be determined using Equation (1.1).

1. Static head (Î”zterm): the height to which the fluid will be pumped.
2. Pressure head ( term): the pressure to which the fluid will be delivered (ina pressurized vessel for example). The pressure units must be converted to lengthunits using relation.
3. System or dynamic head (F term): the energy lost due to friction in pipes, valves,fittings, etc.

#### 1.2 Statement Of The Problem

It is important to accurately predict the pressure drop accross a production system. This has been a difficult task in the oil and gas industry as the production system in real life is not homogenous (single phase) as assumed in most theories. The reason for this is that the two-phase flow is complex and difficult to analyze. Ideally, gas moves at a much higher velocity than the liquid. As a result, the down hole flowing pressure of the liquid-gas mixture is greater than the corresponding pressure corrected for down hole temperature and pressure and this could be calculated from the produced gas-liquid ratio.

This pressure drop in a flowing (production) system could be identified using different existing correlations. Some of these correlations are empirical, mechanistic or numerical. Hagedorn and Brown is the most widely used correlation for vertical wells (Schoham, 2006). In planning well completion the tubing diameter that will give less pressure drop hence much liquid production can be selected by the use of multiphase correlation.

It is also very necessary to plan for pumps in tubing size selection should need arise on future production for pumping of the reservoir fluid to optimize production.

#### 1.3 Objective Of The Study

Determine the Hydraulic Horse Power Requirement needed to maintain production of reservoir fluid within economic limit.
The above objective can be achieved by using two-phase pressure drop correlations to determine pressure drop in selected production tubing used in the Niger Delta.

#### 1.4 Scope Of The Study

The determination of pressure drop using the selected two-phase correlations using production tubings used most often in the Niger Delta.

Pump Capacity Determination For Two-Phase Vertical Fluid Flow

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## Pump Capacity Determination For Two-Phase Vertical Fluid Flow

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