Enter the bottom hole pressure (psia), the true vertical well depth (ft), the average temperature (rankin), and the specific gravity of gas into the Wellhead Pressure Calculator. The calculator will evaluate the Wellhead Pressure. 

Wellhead Pressure Formula

The following formula is used to calculate the Wellhead Pressure. 

Pwh = Pbh / e^{((Sg/R*H)/Tav)}


  • Pwh is the Wellhead Pressure (psia)
  • Pbh is the bottom hole pressure (psia) 
  • H is the true vertical well depth (ft) 
  • Sg is the specific gravity of gas 
  • R is the universal gas constant (53.63 ft-lb/lb-r)
  • Tav is the average temperature (Rankin)

How to Calculate Wellhead Pressure?

The following steps outline how to calculate the Wellhead Pressure.

  1. First, determine the bottom hole pressure (psia).
  2. Next, determine the true vertical well depth (ft). 
  3. Next, determine the specific gravity of gas. 
  4. Next, gather the formula from above = Pwh = Pbh / e^((Sg/R*H)/Tav).
  5. Finally, calculate the Wellhead Pressure.
  6. After inserting the variables and calculating the result, check your answer with the calculator above. 

Example Problem:

Use the following variables as an example problem to test your knowledge.

bottom hole pressure (psia) = 500

true vertical well depth (ft) = 30

specific gravity of gas = 13

average temperature = 3

Pwh = Pbh / e^((Sg/R*H)/Tav) =  ?