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

Appendix F: Chapter 11 Illustrative Example MathCad Solutions

OVERVIEW

This appendix presents the detailed MathCad solutions for the illustrative examples in Chapter 11.

Illustrative Example No. 11.1: DTH MathCad Solution (USCS)

F-2

Illustrative Example No. 11.2: PDM MathCad Solution (USCS)

F-10

Illustrative Example No. 11.1: DTH MathCad Solution (SI)

F-37

Illustrative Example No. 11.2: PDM MathCad Solution (SI)

F-45

ILLUSTRATIVE EXAMPLE 11.1: HAMMER PERFORMANCE(USCS)

Hammer No.1

  1. Basic input data

    1 s := 7.1

    length of piston chamber (in)

    e s := 0.8

    stroke approximate ratio of length

    convert chamber length to ft

    L s = 0.592

    (ft)

    d p := 5.9

    diameter of piston (in)

    d b := 7.875

    diameter of drill bit (in)

    cross-sectional area of piston (ft 2)

    A p = 0.19

    (ft 2)

    cross-sectional area of drill bit (ft 2)

    A b = 0.338

    (ft 2)

    W p := 97.0

    weight of piston (lb)

    acceleration of gravity (ft/sec 2)

    ? st := 0.0763

    specific weight of standard air (lb/ft 3)

    ? at := 0.0679

    specific weight of 4000 ft atmos air (lb/ft 3)

    q cat := 2400

    compressor 4000 ft atmos air (acfm)

    equivalent standard air (scfm)

    q cst = 2.136 10 3

    (scfm)

    convert to ft 3/sec

    Q cst = 35.596

    (ft 3/sec)

    depth of drilling (ft)

    p at := 12.685

    atmos pressure at 4000 ft (psia)

    P at := p

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