Air and Gas Drilling Manual: Applications for Oil and Gas Recovery Wells and Geothermal Fluids Recovery Wells, Third Edition

Appendix E: Chapter 10 Illustrative Example MathCad Solutions

OVERVIEW

This appendix presents the detailed MathCad solutions for the illustrative examples in Chapter 10.

Illustrative Example No. 10.1: Non-Friction MathCad Solution (USC)

E-2

Illustrative Example No. 10.2: Friction MathCad Solution (USC)

E-7

Illustrative Example No. 10.1: Non-Friction MathCad Solution (SI)

E-55

Illustrative Example No. 10.2: Non-Friction MathCad Solution (SI

E-60

ILLUSTRATIVE EXAMPLE 10.1: USCS VERSION, NON-FRICTION SOLUTION - DRILLING Fluid IS STABLE FOAM

This is a closed form solution. However, it is solved by simple trial and error to match the left and right sides of the equation.

Given Input Conditions

q f := 50

mud flow rate (gal/min)

q c := 2120.0

flow rate single compressors (scfm)

P bp := 80.0

back pressure at top of annulus (psig)

convert water gpm to ft 3/sec

Q f = 0.111

volumetric flow rate of water (ft 3/sec)

convert scfm to ft 3/sec

Q c = 35.333

air volumetric flow rate from compressor (st ft 3/sec)

Q g := Q c

volumetric flow rate of gas in system (st ft 3/sec)

Basic Standard and Elevation Atmospheric Conditions

p st := 14.695

API standard atmospheric pressure (psia)

t st := 60

API standard atmospheric temperature ( F)

alt := 4000.0

surface location elevation altitude (ft)

p at := 12.685

actual surface atmospheric pressure (psia)

t at := 44.74

actual surface atmospheric temperature ( F)

P st := p st

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