# Flowing Bottom Hole Pressure (Gas Producing Wells)

The first law of thermodynamics (conservation of energy) governs gas flow in tubing.

Wellbore performance analysis involves establishing a relationship between tubular size, wellhead and bottom-hole pressure, fluid properties, and fluid production rate. Understanding wellbore flow performance is vitally important to production engineers for designing oil well equipment and optimizing well production conditions.

Reference: Petroleum Production Engineering, Boyun Guo, Xinghui Liu, Xuehao Tan

### Correlations

- 1-Average Temperature and Z-Factor
- 2-Cullender and Smith
- 3-Guo and Ghalambor

### Input Parameters

Name | Input Value - Unit | Converted Value | Validity | Link to Calculation Page | |||
---|---|---|---|---|---|---|---|

Gas Specific Gravity (ɣ_{g}) | 0.71 | SG | Average Surface Gas Gravity (ɣ_{g}) | ||||

Tubing Diameter | 2.259 | in | |||||

Relative Roughness (ε/d) More Details | 0.0006 | - | |||||

Tubing Length | 10000 | ft | |||||

Well Average Inclination Angle | 0 | Degrees | Well Deviation from Vertical | ||||

Wellhead Flowing Pressure (P_{hf}) | 800 | psi | |||||

Wellhead Temperature (T_{hf}) | 609.67 | °R | |||||

Bottom Hole Temperature (T_{wf}) | 659.67 | °R | |||||

Well Gas Flow Rate (Q_{sc} | 2 | Million ft/day - mmscf/day | |||||

Oil Production Rate | 1000 | bbl/day - bpd | |||||

Oil Specific Gravity | 0.85 | SG | |||||

Water Production Rate | 300 | bbl/day - bpd | |||||

Water Specific Gravity | 1.05 | SG | |||||

Solid Production Rate | 1 | ft/day - scf/day | |||||

Solid Specific Gravity | 2.65 | SG | |||||

Friction Factor Calculation Method | 1 | ||||||

Z-Factor Calculation Method | 3 | ||||||

Pseudo Properties Calculation Method | 2 | ||||||

Pseudo Critical Properties Correction Method | 2 | ||||||

N2 Content | 0 | % | |||||

CO2 Content | 0 | % | |||||

H2S Content | 0 | % | |||||

CALCULATE | |||||||

## Results | |||||||

Correlation | Calculated Value | Warnings | Remarks | ||||

1-Average Temperature and Z-Factor | 1071.426 | psi | Single average values of temperature and compressibility factor over the entire tubing length is assumed. This correlation is for pure gas flow. | ||||

2-Cullender and Smith | 929.138 | psi | This correlation is for pure gas flow. | ||||

3-Guo and Ghalambor | 2563.156 | psi | This correlation is used for impure gas flows (gas-oil-water-sand four-phase flow model) |