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Completions Hydraulics Handbook American Edition INTRODUCTION This version of the “Hydraulics Calculation Handbook” uses American units of measurements only. This publication is intended for use by SCHLUMBERGER field personnel. This handbook is designed to be an educational as well as a reference handbook. If requested, SCHLUMBERGER will supply copies of this publication to persons or groups who in our opinion would have an application for this publication. The designs, illustrations and specifications contained in this publication are proprietary and provided for reference only and may not be copied in any form without the express written consent of Schlumberger. While considerable effort has been made to ensure the accuracy of the technical data in this handbook, no warranty is expressed or implied in this respect. Schlumberger warrants only that its products are free from defects in workmanship and materials and makes no warranty otherwise. T O C Chapter 1 — AREA, VOLUME and CAPACITY Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-1 Annular Area . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-3 Volume . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-5 Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-7 Displacement of Fluids . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1-11 Chapter 2 — PRESSURE Applied Pressure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-1 Hydrostatic Pressure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-1 Differential Pressure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2-11 Chapter 3 — FORCE Force Due To Pressure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3-1 Forces Due To Pressure Differentials . . . . . . . . . . . . . . . . . . . 3-1 String Weight and Buoyancy . . . . . . . . . . . . . . . . . . . . . . . . . 3-3 Chapter 4 — HYDRAULIC FORCES and HOOK-LOADS Single Grip Retrievable Packers . . . . . . . . . . . . . . . . . . . . . . . 4-1 Hydraulic Forces and Single Grip Packers . . . . . . . . . . . . . . . 4-3 Compression Packers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-11 Hydraulic Forces and Double Grip Packers . . . . . . . . . . . . . 4-18 Hook-Loads . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-18 Tubing O.D. Smaller Than Packer Bore . . . . . . . . . . . . . . . . 4-19 Tubing O.D. and I.D. Larger than Packer Seal Bore . . . . . . . 4-22 Tubing O.D. Larger than Packer Seal Bore and Tubing I.D. Smaller Than Packer Seal Bore . . . . . . . . . . . 4-26 General Hook Load Calculations for Unplugged Tubing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-29 Seal Assemblies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-32 Plugged Tubing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-32 T O C General Hook Load Calculations For Plugged Tubing . . . . . 4-37 Tapered Tubing Strings . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4-40 Chapter 5 — FORCE and LENGTH CHANGES Piston Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-2 Ballooning . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-8 Buckling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-16 Temperature Effects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-22 Applied Forces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-28 The Total Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5-34 Chapter 6 — TUBING STRING Tubing Classification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6-1 Top Jo