Formulas and Calculations for Drilling, Production, and Workover Second Edition Norton J. Lapeyrouse free download


CONTENTS

PREFACE .................................................. vii
1 BASIC FORMULAS ...................................... .1
Pressure Gradient 1. Hydrostatic Pressure 3. Converting Pressure into
Mud Weight 4. Specific Gravity 5. Equivalent Circulating Density 6.
Maximum Allowable Mud Weight 7. Pump Output 7. Annular
Velocity 9. Capacity Formulas 12. Control Drilling 19. Buoyancy
Factor 20. Hydrostatic Pressure Decrease When Pulling Pipe out of
the Hole 20. Loss of Overbalance Due to Falling Mud Level 22.
Formation Temperature 24. Hydraulic Horsepower 25. Drill Pipe/Drill
Collar Calculations 25. Pump Pressure/Pump Stroke Relationship 27.
Cost per Foot 28. Temperature Conversion Formulas 29.
2 BASIC CALCULATIONS ................................. .31
Volumes and Strokes 3 1. Slug Calculations 33. Accumulator
Capacity 37. Bulk Density of Cuttings 41. Drill String Design
(Limitations) 42. Ton-Mile Calculations 44. Cementing Calculations 47.
Weighted Cement Calculations 53. Calculations for the Number of
Sacks of Cement Required 54. Calculations for the Number of Feet to
Be Cemented 57. Setting a Balanced Cement Plug 61. Differential
Hydrostatic Pressure Between Cement in the Annulus and Mud Inside
the Casing 65. Hydraulicing Casing 66. Depth of a Washout 70. Lost
Returns-Loss of Overbalance 7 1. Stuck Pipe Calculations 72.
Calculations Required for Spotting Pills 75. Pressure Required to
Break Circulation 79.
3 DRILLING FLUIDS ....................................... 81
Increase Mud Density 81. Dilution 85. Mixing Fluids of Different
Densities 86. Oil-Based Mud Calculations 87. Solids Analysis 91. Solids
Fractions 95. Dilution of Mud System 96. Displacement-Barrels of
Water/Slurry Required 97. Evaluation of Hydrocyclone 97. Evaluation
of Centrifuge 99.
4 PRESSURE CONTROL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .lo3
Kill Sheets and Related Calculations 103. Prerecorded
Information 115. Kick Analysis 124. Pressure Analysis 137.
Stripping/Snubbing Calculations 139. Subsea Considerations 144.
Workover Operations 153. Controlling Gas Migration 157. Gas
Lubrication 159. Annular Stripping Procedures 161.
5 ENGINEERING CALCULATIONS . . . . . . . . . . . . . . . . . . . . . . . . . .165
Bit Nozzle Selection-Optimized Hydraulics 165. Hydraulics
Analysis 169. Critical Annular Velocity and Critical Flow Rate 173.
“d” Exponent 174. Cuttings Slip Velocity 175. Surge and Swab
Pressures 179. Equivalent Circulation Density 187. Fracture Gradient
Determination-Surface Application 190. Fracture Gradient
Determination-Subsea Application 194. Directional Drilling
Calculations 197. Miscellaneous Equations and Calculations 203.
APPENDIXA .............................................. 209
APPENDIX B .............................................. 217
INDEX .................................................... 221
vi



PREFACE

Over the last several years, hundreds of oilfield personnel have told me that
they have enjoyed this book. Some use it as a secondary reference source:
others use it as their primary source for formulas and calculations; still others
use it to reduce the volume of materials they must carry to the rig floor or
job site.
Regardless of the reason people use it, the primary purpose of the book
is to provide a convenient source of reference to those people who don’t use
formulas and calculations on a regular basis.
In the preface to the first edition, I made reference to a driller who carried
a briefcase full of books with him each time he went to the rig floor. I also
mentioned a drilling supervisor who carried two briefcases of books. This
book should reduce the number of books each of them needs to perform
his job.
This book is still intended to serve oilfield workers for the entirety of their
careers. I have added several formulas and calculations, some in English field
units and some in Metric units. I have also added the Volumetric Procedure,
the Lubricate and Bleed Procedure (both Volume and Pressure Method), and
stripping procedures (both the Strip and Bleed Procedure and the Combined
Stripping and Volumetric Procedure).
This book has been designed for convenience. It will occupy very little
space in anyone’s briefcase. It has a spiral binding so it will lay flat and stay
open on a desk. The Table of Contents and the Index make looking up formulas
and calculations quick and easy. Examples are used throughout to
make the formulas as easy as possible to understand and work, and often
exact words are used rather than symbols.
This book is dedicated to the thousands of oilfield hands worldwide who
have to use formulas and calculations, whether on a daily basis or once or
twice a year, and who have problems remembering them. This book should
make their jobs a little easier.


Tubulars lec ( 5 )

Introduction

The design of an efficient, safe and economical completion system is dependent
upon the acquisition of accurate data and the selection of appropriate
components. Since the ultimate success of the completion system is dependent
on its successful installation, the installation procedures should also be given
some consideration.
Completion designs will vary significantly with the variation of the following
reservoir and location characteristics:
  •  Gross production rate
  •  Well pressure and depth
  •  Formation properties
  •  Fluid properties
  •  Well location
  •  Existing stock

Completion Equipment
Selection

As with all downhole components, data on completion components must include
full details of dimensions, profiles and connections. This is a basic requirement
of all downhole equipment, but is of special significance in completion design
and installation since many future well service activities will require throughtubing
access.

Basic Dimensional Data



  •  Length (depth)
  •  ID/OD (internal & external diameters)
  •  Thread type

Tubular Components

When completing a well, the proper selection of tubular components is possibly
one of the most important decisions. Tubular components come in a number of
different grades and diameters and several factors must be considered prior to
selection.
The higher formation pressures encountered in recent years requires tubing
and components have a greater yield strength. In addition, improved sealing
mechanisms at connections are also required. The types of connections
available have also increased. Those involved with completion design and
installation must understand the proper application of common tubing and
component types. Similarly, a good working knowledge of common seals and
connections is necessary.


Inspection Procedures


A critical part of any well completion operation is the inspection of components
prior to final assembly and installation. Completion specialists and supervisors
must be aware of necessary inspection procedures, as well as the basic handling
procedures for each completion component.

Tubing String
Specification

Tubing generally provides the primary conduit from the producing interval to
the wellhead production facilities. Therefore, the proper selection, design and
installation of tubing is a very important part of any completion system.





Tubing Length 

Tubing joints vary in length from 18 to 35 feet although the average tubing
joint is approximately 30 feet. In any tubing shipment the joint length will vary,
so accurate measurement of each joint is essential. Pup joints (for spacing out
the string) are available in shorter lengths (2’ - 20’) in 2’ increments.

Tubing Diameter

Tubing is available in a range of OD sizes. The most common sizes are 23/8", 27/8",
31/2" and 41/2" (51/2", 7" and 95/8" tubing is fairly common in some areas e.g., the
North Sea). The API defines tubing as pipe from 1" to 41/2" OD. Larger
diameter tubulars being termed casing (41/2" to 20").

Tubing Construction 

Most types of tubing joint are threaded on each end (pin end) and connected
by couplings (box). The pipe used for production tubing may be manufactured
by one of two methods

Tubing Classification
Criteria

The following criteria are used to classify or specify tubing string material and
joint construction:






API Tubing Grades 

Much of the tubing used is manufactured according to API specifications and
must undergo a wide variety of tests and checks before shipment and
installation.
Standard API steel grades for tubing are J-55, C-75, L-80, C-95, N-80, P-105 and
V-150. Grades C-75, L-80 and C-95 are intended for hydrogen sulfide service
where higher strength than J-55 is required.
NOTE: L-80 may be 4130/4140 LHT material, 9Cr LHT, or 13Cr material.


Color Bands


The grade of new tubing can be identified by color bands:





High Strength
Tubing

High strength tubing is generally considered to include grades with a yield
strength above 80,000 psi. C-75, L-80 and N-80 are often included because
their as-manufactured yield strength often exceeds 80,000 psi. High strength
tubing, particularly P-105, presents an increased sensitivity to sharp notches
or cracks.
Any sharp-edged notch or crack in the surface of a material is a point of stress
concentration which tends to extend the crack progressively deeper into the
material, much like driving a wedge. Low strength materials are soft and ductile
and will yield plastically to relieve the stress concentration. High strength
materials do not yield to relieve the stress concentration and tend to fatigue or
fail more rapidly when subjected to cyclic stresses.

Maximum Allowable
Stress

Calculation of the maximum allowable stress of a certain pipe is carried out by
multiplying the minimum cross sectional area of the pipe, times the minimum
yield strength rating of the pipe


Well Completion Planning con't lec ( 4 )

Drilling

Drilling and associated operations, (e.g., cementing), performed in the pay
zone must be completed with extra vigilance. It is becoming increasingly
accepted that the prevention of formation damage is easier and much more
cost effective, than the cure. Fluids used to drill, cement or service the pay
zone should be closely scrutinized and selected to minimize the likelihood of
formation damage.

Evaluation

Similarly, the acquisition of accurate data relating to the pay zone is important.
The basis of several major decisions concerning the technical feasibility and
economic viability of possible completion systems will rest on the data obtained
at this time.

Pre-Completion

 A precompletion stimulation treatment is frequently conducted. This is often
part of the evaluation process in a test-treat-test program in which the response
of the reservoir formation to a stimulation treatment can be assessed..

Completion Assembly
and Installation


With all design data gathered and verified, the completion component selection,
assembly and installation process commences. This phase carries importance
since the overall efficiency of the completion system depends on proper
selection and installation of components.
A “visionary” approach is necessary since the influence of all factors must be
considered at this stage, i.e., factors resulting from previous operations or
events, plus an allowance, or contingency, for factors which are likely or liable
to affect the completion system performance in the future.
The correct assembly and installation of components in the wellbore is as
critical as the selection process by which they are chosen. This is typically a
time at which many people and resources are brought together. The demands
brought by high and mounting, daily charges imposes a sense of urgency
which requires the operation to be completed without delay. To ensure the
operation proceeds as planned, it is essential that detailed procedures are
prepared for each stage of the completion assembly and installation. The
complexity and detail of the procedure is largely dependent on the complexity
of the completion.

Primary Completion
Components
Primary completion components

 are considered essential for the completion to
function safely as designed. Such components include the safety valves, gas
lift equipment, tubing flow control tools and packers. In special applications,
(e.g., artificial lift), the components necessary to enable the completion system
to function as designed will normally be considered primary components.

Completion System 

Several types of devices, with varying degrees of importance, can be installed
to permit greater flexibility of the completion. While this is generally viewed as
beneficial, a complex completion will often be more vulnerable to problems or
failure, (e.g., due to leakage).
The desire for flexibility in a completion system stems from the changing
conditions over the lifetime of a well, field or reservoir. For example, as the
reservoir pressure depletes, gas injection via a side pocket mandrel may be
necessary to maintain optimized production levels. The selection of completion
components and fluids should reflect a balance between flexibility and simplicity.

Completion Assembly
and Installation Factors

Completion Fluids

A significant fluid sales and service industry has evolved around the provision
of completion fluids. Completion fluids often require special mixing and hauling
procedures, since (a) the level of quality control exercised on density and
cleanliness is high and (b) completion fluids are often formulated with
dangerous brines and inhibitors.

Initiating Flow

The process of initiating flow and establishing communication between the
reservoir and the wellbore is closely associated with perforating operations. If
the well is to be perforated overbalanced, (higher pressure in the wellbore than
in the formation) then the flow initiation and clean up program may be dealt
with in separate procedures. However, if the well is perforated in an
underbalanced condition, (lower pressure in the wellbore than in the formation)
the flow initiation and clean up procedures must commence immediately upon
perforation.Production Initiation





Underbalanced
Perforating

Perforating when the reservoir pressure is substantially higher than the wellbore
pressure is referred to as under-balanced perforating. While the reservoir/
wellbore pressure differential may be sufficient to provide an underbalance at
time of perforation, the reservoir pressure may be insufficient to cause the well
to flow after the pressure has equalized.
Adequate reservoir pressure must exist to displace the fluids from within the
production tubing if the well is to flow unaided. In the event the reservoir
pressure is insufficient to achieve this, measures must be taken to lighten the
fluid column typically by gas lifting or circulating a less dense fluid.
The flow rates and pressures used to exercise control during the clean up
period are intended to maximize the return of drilling or completion fluids and
debris. This controlled backflush of perforating debris or filtrate also enables
surface production facilities to reach stable conditions gradually.

Wellbore Clean Up

Wellbore cleanup is normally not required with new completions. However, in
wells which are to be re-perforated or in which a new pay zone is to be opened,
a well bore clean up treatment may be appropriate. There is a range of perforation
treatments associated with new or recompletion operations.

Overbalanced
Perforating

Perforating when the wellbore pressure is higher than the reservoir pressure is
referred to as Overbalanced Perforating. This is normally used as a method of
well control during perforating. The problem with this method is it introduces
wellbore fluid into the formation causing formation damage.
It is sometimes desirable to place acid across the interval to be perforated when
overbalanced perforating. The resulting inflow of acid results is a matrix type
acid treatment occurring.

Extreme Overbalance
Perforating

In this type of perforating operation the wellbore is pressured up to very high
pressures with gas (usually nitrogen). When the perforating guns are detonated
the inflow of high pressure gas into the formation results in a mini-frac, opening
up the formation to increase inflow.


Stimulation Treatments




Acid Washing
of Perforations


Perforation acid washing is an attempt to ensure that as many perforations as
possible are contributing to the flow from the reservoir. Rock compaction, mud
and cement filtrate and perforation debris have been identified as types of
damage which will limit the flow capacity of a perforation and therefore,
completion efficiency.
If the objective of the treatment is to remove damage in or around the
perforation, simply soaking acid across the interval is unlikely to be adequate.
The treatment fluid must penetrate and flow through the perforation to be
effective. In which case all the precautions associated with a matrix treatment
must be exercised to avoid causing further damage by inappropriate fluid
selection.

Hydraulic Fracturing


Hydraulic fracturing treatments provide a high conductivity channel through
any damaged area and extending into the reservoir. The natural fractures
within the formation material are opened up using hydraulic fluid pressure.
Commonly a proppont such as sand is introduced to ‘prop’ the fracture open
after the pressure is removed, but still will allow flow of reservoir fluids and
gases. Hydraulic fracturing treatments require a detailed design process which
is usually performed by the service supplier.

Well Service
and Maintenance
Requirements

The term “well servicing” is used (and misused) to describe a wide range of
activities including:
  •  Routine monitoring
  •  Wellhead and flowline servicing
  •  Minor workovers (through-tubing)
  •  Major workovers (tubing pulled)
  •  Emergency containment or response
Well service and maintenance preferences and requirements must be considered
during the completion design process. With more complex completion systems,
the availability and response of service and support systems must also be
considered.
Well bore geometry and completion dimensions determine the limitations of
conventional slick line, wireline, coiled tubing or snubbing services in any
application.

Logistic and
Location Constraints

Restraint imposed by logistic or location driven criteria often compromise the
basic cost effective requirement of a completion system. Special safety and
contingency precautions or facilities are associated with certain locations,
(e.g., offshore and subsea).

Logistic and
Location Criteria


Client Requirements



The completion configuration and design must ultimately meet all requirements
of the client. In many cases, these requirements may not be directly related to
the reservoir, well or location (technical factors). An awareness of these factors
and their interaction with other completion design factors can help save time
and effort in an expensive design process.
The following factors are common criteria which must be considered:
  •  Existing stock or contractual obligation
  •  Compatibility with existing downhole or wellhead components
  •  Client familiarity and acceptance
  •  Reliability and consequences of failure

Regulatory Requirements

There are several regulatory and safety requirements applicable to well
completion operations. These must satisfied during both the design and
execution phases of the completion process.
  •  Provision for well-pressure and fluid barriers
  •  Safety and operational standards
  •  Specifications, guidelines and recommendations
  •  Disposal requirements
  •  Emergency and contingency provision

Revenue and Costs

When completing an economic viability study, or comparison, the costs
associated with each of the following categories must be investigated.
  •  Production revenue
  •  Capital cost (including completion component and installation cost)
  •  Operating cost (including utilities and routine maintenance or
servicing cost, also workover, replacement or removal cost)
Installation costs are significant if special completion requirements impact the
overall drilling or completion time. The actual cost of completion components
is often relatively insignificant when viewed alongside the value of incremental
production from improved potential or increased uptime.


Economic Factors



A rudimentary understanding of the economic factors is beneficial.

  •  Market forces (including seasonal fluctuations and swing
production)
  •  Taxation (including tax liability or tax breaks)
  •  Investment availability



Company Objectives



A measure of success can only be made if there exists clearly stated objectives.
Such objectives may macroscopic, but nonetheless will influence the specific
objectives as applied to an individual well or completion. In addition, the wider
company objectives may allow clarification of other factors, (e.g., where two or
more options offer similar or equal benefit and no clear selection can be made
on a technical basis).

  •  Desired payback period
  •  Cash flow
  •  Recoverable reserves