Hydrostatic Pressure Calculation

Hydrostatic pressure is pressure created by fluid column and two factors affecting hydrostatic pressure are mud weight and True Vertical Depth.

You can read full details about hydrostatic pressure from this article, Understand Hydrostatic Pressure.

In this article, it will demonstrate how to calculate hydrostatic pressure in different oilfield and metric unit.

1. Calculate hydrostatic pressure in psi by using mud weight  in pound per gallon (ppg) and feet as the units of True Vertical Depth.

Hydrostatic pressure equation:

Hydrostatic Pressure (HP) = 0.052 × Mud Weight × True Vertical Depth (TVD) 

Where;

Mud Weight in ppg

True Vertical Depth in ft

Example;

Mud Weight = 12.0 ppg
True Vertical Depth (TVD) = 10,000 ft
Hydrostatic Pressure (HP) = 0.052 × 12.0 × 10,000
Hydrostatic Pressure (HP) = 6,240 psi

2. Calculate hydrostatic pressure in psi by using pressure gradient in psi/ft and feet as the units of True Vertical Depth.

Hydrostatic pressure equation:

Hydrostatic Pressure (HP) = Pressure gradient in psi/ft × True Vertical Depth (TVD)

Where;

Pressure gradient in psi/ft

True Vertical Depth in ft

Example;

Pressure Gradient = 0.5 psi/ft
True Vertical Depth (TVD) = 10,000 ft
Hydrostatic Pressure (HP) = 0.5 psi/ft × 10,000 ft
Hydrostatic Pressure (HP) = 5,000 psi

3. Calculate hydrostatic pressure in psi by using mud weight in lb/ft3 and feet as the units of True Vertical Depth.

Hydrostatic pressure equation:

Hydrostatic Pressure (HP) = 0.006944 × Mud Weight × True Vertical Depth (TVD)

Where;

Mud Weight in lb/ft3

True Vertical Depth in ft

Example;

Mud Weight = 80 lb/ft3
True Vertical Depth (TVD) = 10,000 ft
Hydrostatic Pressure (HP) = 0.006944 × 80 lb/ft3 × 10,000 ft
Hydrostatic Pressure (HP) = 5,555 psi

4. Calculate hydrostatic pressure in psi by using mud weight in PPG and meters as unit of True Vertical Depth.

Hydrostatic pressure equation:

Hydrostatic Pressure (HP) = Mud Weight  × 0.052 × TVD in meters x 3.281

Where;

Mud Weight in ppg

True Vertical Depth in meter

Example:

Mud Weight = 12.0 ppg
True Vertical Depth (TVD) = 5000 meters
Hydrostatic Pressure (HP) = 12.0 × 0.052 × 5000 × 3.281
Hydrostatic Pressure (HP) = 10,237 psi

5. Calculate hydrostatic pressure in Pascal by using mud weight  in kg per cu-meter (kg/m3) and meter (m) as the units of True Vertical Depth.

Hydrostatic Pressure (HP) = 9.81 × Mud Weight × True Vertical Depth (TVD) 

Where;

Mud Weight in kg/m3

True Vertical Depth in meter

Example;

Mud Weight = 1,000 kg/m3
True Vertical Depth (TVD) = 100 m
Hydrostatic Pressure (HP) = 9.81 × 1,000 × 100
Hydrostatic Pressure (HP) = 981,000 pascal

6. Calculate hydrostatic pressure in bar by using mud weight  in kg per cu-meter (kg/m3) and meter (m) as the units of True Vertical Depth.

Hydrostatic Pressure (HP) = 9.81 × Mud Weight × True Vertical Depth (TVD) ÷ 100,000

Where;

Mud Weight in kg/m3

True Vertical Depth in meter

Example;

Mud Weight = 1,000 kg/m3
True Vertical Depth (TVD) = 100 m
Hydrostatic Pressure (HP) = 9.81 × 1,000 × 100 ÷ 100,000
Hydrostatic Pressure (HP) = 9.81 bar

7ุ. Calculate hydrostatic pressure in atm by using mud weight  in kg per cu-meter (kg/m3) and meter (m) as the units of True Vertical Depth.

Hydrostatic Pressure (HP) = 9.81 × Mud Weight × True Vertical Depth (TVD)  × 9.8692 × 10-6

Where;

Mud Weight in kg/m3

True Vertical Depth in meter

Example;

Mud Weight = 1,000 kg/m3
True Vertical Depth (TVD) = 100 m
Hydrostatic Pressure (HP) = 9.81 × 1,000 × 100 × 9.8692 × 10-6
Hydrostatic Pressure (HP) = 9.6817 atm

Download Free Excel Spread Sheet

Download the Excel sheet for calculating hydrostatic pressure – This is 2020 update with Metric Unit

Ref books: 

Lapeyrouse, N.J., 2002. Formulas and calculations for drilling, production and workover, Boston: Gulf Professional publishing.

Bourgoyne, A.J.T., Chenevert , M.E. & Millheim, K.K., 1986. SPE Textbook Series, Volume 2: Applied Drilling Engineering, Society of Petroleum Engineers.

Mitchell, R.F., Miska, S. & Aadny, B.S., 2011. Fundamentals of drilling engineering, Richardson, TX: Society of Petroleum Engineers.

Calculate Pressure Gradient and Convert Pressure Gradient

This article describes about how to calculate and convert pressure gradient in different units. Please see simple oil field formulas shown each topic below:

1. Calculate pressure gradient in psi/ft from mud weight in ppg

Pressure gradient calculation formula:

Pressure gradient in psi/ft = mud weight in ppg x 0.052

Example:
Mud weigt = 9.0 ppg
Pressure gradient in psi/ft = 9.0 x 0.052
Pressure gradient in psi/ft = 0.468 psi/ft

2. Calculate pressure gradient in psi/ft  from mud weight in lb/ft3

Pressure gradient calculation formula:

Pressure gradient in psi/ft = mud weight in lb/ft3 x 0.006944

Example:
Mud weight = 80 lb/ft3
Pressure gradient in psi/ft  = 80 lb/ft3 x 0.006944
Pressure gradient  = 0.55552  psi/ft

OR

Pressure gradient in psi/ft t = mud weight in lb/ft3 ÷ 144

Example:
Mud weight = 80 lb/ft3
Pressure gradient in psi/ft  = 80 lb/ft3 ÷ 144
Pressure gradient  = 0.55556 psi/ft

3. Calculate pressure gradient in psi/ft from specific gravity (SG)

Pressure gradient calculation formula:

Pressure gradient in psi/ft = mud weight in SG x 0.433

Example:
Fluid specific gravity = 2
Pressure gradient in psi/ft = 2.0 x 0.433
Pressure gradient = 0.866 psi/ft

4. Convert pressure gradient in psi/ft to mud weight in ppg

Pressure gradient coversion formula:

Mud weight in ppg = pressure gradient in psi/ft ÷ 0.052

Example:
Pressure gradient = 0.5 psi/ft
Mud weight in ppg = 0.5 psi/ft ÷ 0.052
Mud weight = 9.615 ppg

5. Convert pressure gradient in psi/ft to mud weight in lb/ft3

Pressure gradient coversion formula:

Mud weight in
lb/ft
3 = pressure gradient in psi/ft ÷ 0.006944

Example:
Pressure gradient = 0.5 psi/ft
Mud weight in lb/ft3 = 0.5 psi/ft ÷ 0.006944
Mud weight = 72 lb/ft3

6. Convert pressure gradient in psi/ft to mud weight in SG

Pressure gradient conversion formula:

SG = pressure gradient, psi/ft ÷ 0.433

Example:
Pressure gradient =0.5 psi/ft
SG = 0.5 psi/ft ÷ 0.433
SG = 1.1547

Please find the Excel sheet in the following link: Pressure Gradient Calculation Sheet

Ref books: Lapeyrouse, N.J., 2002. Formulas and calculations for drilling, production and workover, Boston: Gulf Professional publishing.

Bourgoyne, A.J.T., Chenevert , M.E. & Millheim, K.K., 1986. SPE Textbook Series, Volume 2: Applied Drilling Engineering, Society of Petroleum Engineers.

Mitchell, R.F., Miska, S. & Aadny, B.S., 2011. Fundamentals of drilling engineering, Richardson, TX: Society of Petroleum Engineers.