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Vertical Force at Bottom End of Drill String Formula

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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. Check FAQs

f z = ρ m \cdot [g] \cdot A s \cdot L Well

f_z - Vertical Force at Bottom end of Drill String?ρ_m - Density of Drilling Mud?A_s - Cross Section Area of Steel in Pipe?L_Well - Length of Pipe Hanging in Well?[g] - Gravitational acceleration on Earth?

Vertical Force at Bottom End of Drill String Example

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Here is how the Vertical Force at Bottom End of Drill String equation looks like with Values.

Here is how the Vertical Force at Bottom End of Drill String equation looks like with Units.

Here is how the Vertical Force at Bottom End of Drill String equation looks like.

146.8644 = 1440 \cdot 9.8066 \cdot 0.65 \cdot 16

146.8644kN = 1440kg/m³ \cdot 9.8066m/s² \cdot 0.65m² \cdot 16m

146.8644 = 1440 \cdot 9.8066 \cdot 0.65 \cdot 16

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Vertical Force at Bottom End of Drill String Solution

Follow our step by step solution on how to calculate Vertical Force at Bottom End of Drill String?

FIRST Step Consider the formula

f z = ρ m \cdot [g] \cdot A s \cdot L Well

Next Step Substitute values of Variables

∴

f z = 1440kg/m³ \cdot [g] \cdot 0.65m² \cdot 16m

Next Step Substitute values of Constants

∴

f z = 1440kg/m³ \cdot 9.8066m/s² \cdot 0.65m² \cdot 16m

Next Step Prepare to Evaluate

∴

f z = 1440 \cdot 9.8066 \cdot 0.65 \cdot 16

Next Step Evaluate

∴

f z = 146864.3904N

Next Step Convert to Output's Unit

∴

f z = 146.8643904kN

LAST Step Rounding Answer

∴

f z = 146.8644kN

Vertical Force at Bottom End of Drill String Formula Elements

Variables

Constants

Vertical Force at Bottom end of Drill String

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.

Symbol: f_z

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Vertical Force at Bottom end of Drill String

Density of Drilling Mud

Density of Drilling Mud considering a steel drilling pipe hanging in an oil well.

Symbol: ρ_m

Measurement: DensityUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Density of Drilling Mud

Cross Section Area of Steel in Pipe

Cross Section Area of Steel in Pipe is the extent of a surface or plane figure as measured in square units.

Symbol: A_s

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Section Area of Steel in Pipe

Length of Pipe Hanging in Well

Length of Pipe Hanging in Well is essential in calculating all other values required in drilling.

Symbol: L_Well

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Pipe Hanging in Well

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Hydrostatics category

Go Tension on Vertical Drill String

T = ρ s \cdot [g] \cdot A s \cdot (L Well - z)

Go Mass Density of Steel for Tension on Vertical Drill String

ρ s = \frac{T}{[g] \cdot A s \cdot (L Well - z)}

Go Coordinate measured Downward from Top given Tension on Vertical Drill String

z = - ((\frac{T}{ρ s \cdot [g] \cdot A s}) - L Well)

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

A s = \frac{T}{ρ s \cdot [g] \cdot (L Well - z)}

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

Vertical Force at Bottom End of Drill String evaluator 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 evaluate 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 evaluate Vertical Force at Bottom End of Drill String using this online evaluator? To use this online evaluator 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_Well) and hit the calculate button.

FAQs on Vertical Force at Bottom End of Drill String

What is the formula to find Vertical Force at Bottom End of Drill String?

The formula of Vertical Force at Bottom End of Drill String is expressed as 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. Here is an example- 0.146864 = 1440*[g]*0.65*16.

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

With Density of Drilling Mud (ρ_m), Cross Section Area of Steel in Pipe (A_s) & Length of Pipe Hanging in Well (L_Well) we can find Vertical Force at Bottom End of Drill String using the 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. This formula also uses Gravitational acceleration on Earth constant(s).

Can the Vertical Force at Bottom End of Drill String be negative?

Yes, the Vertical Force at Bottom End of Drill String, measured in Force can be negative.

Which unit is used to measure Vertical Force at Bottom End of Drill String?

Vertical Force at Bottom End of Drill String is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Vertical Force at Bottom End of Drill String can be measured.

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Vertical Force at Bottom End of Drill String Formula

Vertical Force at Bottom End of Drill String Example

Vertical Force at Bottom End of Drill String Solution

Vertical Force at Bottom End of Drill String Formula Elements

Other formulas in Hydrostatics category

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

FAQs on Vertical Force at Bottom End of Drill String

Variable Name