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

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

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

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

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

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

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

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Here is how the Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String equation looks like with Values.

Here is how the Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String equation looks like with Units.

Here is how the Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String equation looks like.

1439.957 = \frac{146.86}{9.8066 \cdot 0.65 \cdot 16}

1439.957kg/m³ = \frac{146.86kN}{9.8066m/s² \cdot 0.65m² \cdot 16m}

1439.957 = \frac{146.86}{9.8066 \cdot 0.65 \cdot 16}

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

Follow our step by step solution on how to calculate Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ m = \frac{146.86kN}{[g] \cdot 0.65m² \cdot 16m}

Next Step Substitute values of Constants

∴

ρ m = \frac{146.86kN}{9.8066m/s² \cdot 0.65m² \cdot 16m}

Next Step Convert Units

∴

ρ m = \frac{146860N}{9.8066m/s² \cdot 0.65m² \cdot 16m}

Next Step Prepare to Evaluate

∴

ρ m = \frac{146860}{9.8066 \cdot 0.65 \cdot 16}

Next Step Evaluate

∴

ρ m = 1439.95695228787kg/m³

LAST Step Rounding Answer

∴

ρ m = 1439.957kg/m³

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

Variables

Constants

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

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

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 to find Density of Drilling Mud

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

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

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

ρ m = \frac{L c \cdot ρ s}{L Well}

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

Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String evaluator uses 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) to evaluate the Density of Drilling Mud, Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String is mass of fluid per unit volume. Weight density, of fluid is weight of fluid per unit volume. Density of Drilling Mud is denoted by ρ_m symbol.

How to evaluate Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String using this online evaluator? To use this online evaluator for Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String, enter Vertical Force at Bottom end of Drill String (f_z), Cross Section Area of Steel in Pipe (A_s) & Length of Pipe Hanging in Well (L_Well) and hit the calculate button.

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

What is the formula to find Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String?

The formula of Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String is expressed as 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). Here is an example- 1439.957 = 146860/([g]*0.65*16).

How to calculate Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String?

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

What are the other ways to Calculate Density of Drilling Mud?

Here are the different ways to Calculate Density of Drilling Mud-

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

Can the Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String be negative?

Yes, the Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String, measured in Density can be negative.

Which unit is used to measure Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String?

Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String is usually measured using the Kilogram per Cubic Meter[kg/m³] for Density. Kilogram per Cubic Centimeter[kg/m³], Gram per Cubic Meter[kg/m³], Gram per Cubic Centimeter[kg/m³] are the few other units in which Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String can be measured.

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

​GoMass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force Formula

​GoMass Density of Drilling Mud for Lower Section of Drill String Length in Compression Formula

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

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

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

Other Formulas to find Density of Drilling Mud

Other formulas in Hydrostatics category

How to Evaluate Mass Density of Drilling Mud given Vertical Force at Bottom End of Drill String?

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

Variable Name

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

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