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

Appendix C: Chapter 8 Illustrative Example MathCad Solutions

OVERVIEW

This appendix presents the detailed MathCad solutions for the illustrative examples in Chapter 8.

Illustrative Example No. 8.2: Minimum Flow Rate MathCad Solution (USCS)

C-2

Illustrative Example No. 8.3: Two Compressor MathCad Solution (USCS)

C-26

Illustrative Example No. 8.2: Minimum Flow Rate MathCad Solution (SI)

C-53

Illustrative Example No. 8.3: Two Compressor MathCad Solution (SI)

C-77

ILLUSTRATIVE EXAMPLE 8.2: USCS VERSION, MINIMUM VOLUMETRIC FLOW RATE - DRILLING FLUID IS AIR

Determining the bottom hole and injection pressures while drilling at 10,000 ft of depth for the drilling operations described in Illustrative Examples 8.1.

Minimum Volumetric Flow Rate (Trial and Error to Attain Minimum KE)

q a:1994

flow rate produced from one compressor (acfm)

Basic Standard and Elevation Atomospheric Conditions

p st := 14.696

API standard atmospheric pressure (psia)

t st := 60.0

API standard atmospheric temperature ( F)

alt := 4000

surface elevation of drilling site (ft)

p at := 12.685

pressure from table for surface elevation (psia)

t at := 44.74

temperature from table for surface elevation ( F)

P st := p st 144

convert API standard pressure to lb/ft 2

P st = 2116.224

(lb/ft 2 abs)

T st := t st + 459.67

convert API standard to R

T st = 519.67

( R)

P at := p at 144

Convert actual atm pressure to lb/ft 2

P at = 1826.64

(lb/ft 2abs)

T at

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