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

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 |
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.
| 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) |
| 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 |