Vertical Force at Bottom End of Drill String Calculator

✖Density of Drilling Mud considering a steel drilling pipe hanging in an oil well.ⓘ Density of Drilling Mud [ρ_m]			+10% -10%
✖Cross Section Area of Steel in Pipe is the extent of a surface or plane figure as measured in square units.ⓘ Cross Section Area of Steel in Pipe [A_s]			+10% -10%
✖Length of Pipe Hanging in Well is essential in calculating all other values required in drilling.ⓘ Length of Pipe Hanging in Well [L]			+10% -10%

✖Vertical Force at Bottom end of Drill String depends on the density of drilling mud, cross section area of steel in the pipe and length of pipe hanging in the well.ⓘ Vertical Force at Bottom End of Drill String [f_z]

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Formula

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Vertical Force at Bottom End of Drill String

Formula

`"f"_{"z"} = "ρ"_{"m"}*"[g]"*"A"_{"s"}*"L"`

Example

`"146.8644kN"="1440kg/m³"*"[g]"*"0.65m²"*"16m"`

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Vertical Force at Bottom End of Drill String Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vertical Force at Bottom end of Drill String = Density of Drilling Mud*[g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well
f_z = ρ_m*[g]*A_s*L
This formula uses 1 Constants, 4 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Vertical Force at Bottom end of Drill String - (Measured in Newton) - Vertical Force at Bottom end of Drill String depends on the density of drilling mud, cross section area of steel in the pipe and length of pipe hanging in the well.
Density of Drilling Mud - (Measured in Kilogram per Cubic Meter) - Density of Drilling Mud considering a steel drilling pipe hanging in an oil well.
Cross Section Area of Steel in Pipe - (Measured in Square Meter) - Cross Section Area of Steel in Pipe is the extent of a surface or plane figure as measured in square units.
Length of Pipe Hanging in Well - (Measured in Meter) - Length of Pipe Hanging in Well is essential in calculating all other values required in drilling.

STEP 1: Convert Input(s) to Base Unit

Density of Drilling Mud: 1440 Kilogram per Cubic Meter --> 1440 Kilogram per Cubic Meter No Conversion Required
Cross Section Area of Steel in Pipe: 0.65 Square Meter --> 0.65 Square Meter No Conversion Required
Length of Pipe Hanging in Well: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_z = ρ_m*[g]*A_s*L --> 1440*[g]*0.65*16

Evaluating ... ...

f_z = 146864.3904

STEP 3: Convert Result to Output's Unit

146864.3904 Newton -->146.8643904 Kilonewton (Check conversion here)

FINAL ANSWER

146.8643904 ≈ 146.8644 Kilonewton <-- Vertical Force at Bottom end of Drill String

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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< 18 Hydrostatics Calculators

Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force

Go Density of Drilling Mud = -((Effective Tension/([g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top))-Mass Density of Steel))

Length of Pipe Hanging in Well given Effective Tension

Go Length of Pipe Hanging in Well = ((Effective Tension/((Mass Density of Steel-Density of Drilling Mud)*[g]*Cross Section Area of Steel in Pipe)+Coordinate measured Downward from Top))

Coordinate measured Downward from Top given Effective Tension

Go Coordinate measured Downward from Top = -(Effective Tension/((Mass Density of Steel-Density of Drilling Mud)*[g]*Cross Section Area of Steel in Pipe)-Length of Pipe Hanging in Well)

Mass Density of Steel when Buoyant Force acts in Direction opposite to Gravity Force

Go Mass Density of Steel = (Effective Tension/([g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top))+Density of Drilling Mud)

Cross Section Area of Steel given Effective Tension

Go Cross Section Area of Steel in Pipe = Effective Tension/((Mass Density of Steel-Density of Drilling Mud)*[g]*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top))

Effective Tension given Buoyant Force acts in Direction opposite to Gravity Force

Go Effective Tension = (Mass Density of Steel-Density of Drilling Mud)*[g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top)

Coordinate measured Downward from Top given Tension on Vertical Drill String

Go Coordinate measured Downward from Top = -((Tension on Vertical Drill String/(Mass Density of Steel*[g]*Cross Section Area of Steel in Pipe))-Length of Pipe Hanging in Well)

Cross Section Area of Steel in Pipe given Tension on Vertical Drill String

Go Cross Section Area of Steel in Pipe = Tension on Vertical Drill String/(Mass Density of Steel*[g]*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top))

Length of Pipe Hanging in Well given Tension on Vertical Drill String

Go Length of Pipe Hanging in Well = (Tension on Vertical Drill String/(Mass Density of Steel*[g]*Cross Section Area of Steel in Pipe))+Coordinate measured Downward from Top

Mass Density of Steel for Tension on Vertical Drill String

Go Mass Density of Steel = Tension on Vertical Drill String/([g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top))

Tension on Vertical Drill String

Go Tension on Vertical Drill String = Mass Density of Steel*[g]*Cross Section Area of Steel in Pipe*(Length of Pipe Hanging in Well-Coordinate measured Downward from Top)

Length of Pipe Hanging in Well given Vertical Force at Bottom End of Drill String

Go Length of Pipe Hanging in Well = Vertical Force at Bottom end of Drill String/(Density of Drilling Mud*[g]*Cross Section Area of Steel in Pipe)

Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String

Go Density of Drilling Mud = Vertical Force at Bottom end of Drill String/([g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well)

Vertical Force at Bottom End of Drill String

Go Vertical Force at Bottom end of Drill String = Density of Drilling Mud*[g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well

Mass Density of Drilling Mud for Lower Section of Drill String Length in Compression

Go Density of Drilling Mud = (Lower Section of Drill String Length*Mass Density of Steel)/Length of Pipe Hanging in Well

Length of Pipe Hanging given Lower Section of Drill String Length in Compression

Go Length of Pipe Hanging in Well = (Lower Section of Drill String Length*Mass Density of Steel)/Density of Drilling Mud

Mass Density of Steel for Lower Section of Drill String Length in Compression

Go Mass Density of Steel = (Density of Drilling Mud*Length of Pipe Hanging in Well)/Lower Section of Drill String Length

Lower Section of Drill String Length that is in Compression

Go Lower Section of Drill String Length = (Density of Drilling Mud*Length of Pipe Hanging in Well)/Mass Density of Steel

Vertical Force at Bottom End of Drill String Formula

Vertical Force at Bottom end of Drill String = Density of Drilling Mud*[g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well
f_z = ρ_m*[g]*A_s*L

What is Buoyancy?

Buoyancy is the force that causes objects to float. It is the force exerted on an object that is partly or wholly immersed in a fluid. Buoyancy is caused by the differences in pressure acting on opposite sides of an object immersed in a static fluid. It is also known as the buoyant force.

How to Calculate Vertical Force at Bottom End of Drill String?

Vertical Force at Bottom End of Drill String calculator uses Vertical Force at Bottom end of Drill String = Density of Drilling Mud*[g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well to calculate the Vertical Force at Bottom end of Drill String, The Vertical Force at Bottom End of Drill String is concentrated vertical upward force combines with distributed weight of drill string by shifting line. Vertical Force at Bottom end of Drill String is denoted by f_z symbol.

How to calculate Vertical Force at Bottom End of Drill String using this online calculator? To use this online calculator for Vertical Force at Bottom End of Drill String, enter Density of Drilling Mud (ρ_m), Cross Section Area of Steel in Pipe (A_s) & Length of Pipe Hanging in Well (L) and hit the calculate button. Here is how the Vertical Force at Bottom End of Drill String calculation can be explained with given input values -> 0.146864 = 1440*[g]*0.65*16.

FAQ

What is Vertical Force at Bottom End of Drill String?

The Vertical Force at Bottom End of Drill String is concentrated vertical upward force combines with distributed weight of drill string by shifting line and is represented as f_z = ρ_m*[g]*A_s*L or Vertical Force at Bottom end of Drill String = Density of Drilling Mud*[g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well. Density of Drilling Mud considering a steel drilling pipe hanging in an oil well, Cross Section Area of Steel in Pipe is the extent of a surface or plane figure as measured in square units & Length of Pipe Hanging in Well is essential in calculating all other values required in drilling.

How to calculate Vertical Force at Bottom End of Drill String?

The Vertical Force at Bottom End of Drill String is concentrated vertical upward force combines with distributed weight of drill string by shifting line is calculated using Vertical Force at Bottom end of Drill String = Density of Drilling Mud*[g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well. To calculate Vertical Force at Bottom End of Drill String, you need Density of Drilling Mud (ρ_m), Cross Section Area of Steel in Pipe (A_s) & Length of Pipe Hanging in Well (L). With our tool, you need to enter the respective value for Density of Drilling Mud, Cross Section Area of Steel in Pipe & Length of Pipe Hanging in Well and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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