# Hydrostatic Pressure Calculation

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

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;

True Vertical Depth in ft

Example;

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

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.

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### 26 Responses to Hydrostatic Pressure Calculation

1. hamza says:

how to calculat hydrostatic pressure in kg/ltter
thanks

2. leslie says:

i want know how i can calculate the pressure at casing shoe,1000 psi at surface test and tvd of csg shoe 7500 ft and 11.0 ppg for fluid test?

• DrillingFormulas.Com says:

P at shoe = Surface pressure + Hydrostatic pressure
P at shoe = 1000 psi + (0.052 x 7500 x 11) = 5290 psi.

3. magnus says:

I love this site

4. Cristi says:

Leslie, what did you mean by surface pressure? The pumping pressure?

• DrillingFormulas.Com says:

Like casing pressure which is in static condition.

5. Deni says:

I like this site very much,

Very simple and great explaination.

6. behzad says:

hello , I need to how to calculate the hydrostatic pressure with softwares .is there any software which is able to calculate that?

• DrillingFormulas.Com says:

7. Mahmoud Nabil says:

I like this site too much (very simple and great info explaination

8. SB Mishra says:

I like this site, very helpful

9. Alan Jorge says:

a little help to solve the problem …A well has been shot in at 10500 TVD, due to flow out increase. MW is 11.5 ppg and SIDPP reaches 600 psi.
What will be the the final STAND PIPE PRESSURE with the kill mud if the initial circulation BEFORE the kick was 2300 psi ?

• DrillingFormulas.Com says:

Hi Alan,

ICP = SCR + SIDPP
2300 = SCR +600
SCR = 1700 psi

KMW = OMW + SIDPP/(0.052 x TVD)
KMW = 11.5 + 600 / (0.052 x 10,500)
KWM = 12.6 ppg

FCP = ICP x (KMW/OMW)
FCP = 1,700 x(12.6/11.5)
FCP = 1,863 psi

Final circulating pressure = 1,863 psi.

10. sss says:

how to know hydrostatic pressure difference after cement column set

• DrillingFormulas.Com says:

11. Samuel Tobung says:

This site is very helpful. Thanks

12. Mian Muhammed Tahir says:

Dear sir
This is a v good information for new comers in this field.
If you again start Quiez program it’s much better

13. ibad shumali says:

very thankful to this site….!

14. Pingback: Cual es el Origen de la Constante 0,052 – Perfoblogger

15. aziz says:

Dear Sir,
how to calculate the hydrostatic of brine in annulus, before perform annulus pressure test

• DrillingFormulas.Com says:

You still use the same formula. The density will be brine density in the annulus side.

16. Motaram Bishnoi says:

What is 0.052

17. Neutron says:

How can i prove this HP=0.052*tvd*mud density

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