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

GoMass Density of Drilling Mud given Vertical Force at Bottom End of Drill String 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{T e}{[g] \cdot A s \cdot (L Well - z)} - ρ s))

ρ_m - Density of Drilling Mud?T_e - Effective Tension?A_s - Cross Section Area of Steel in Pipe?L_Well - Length of Pipe Hanging in Well?z - Coordinate measured Downward from Top?ρ_s - Mass Density of Steel?[g] - Gravitational acceleration on Earth?

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

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Here is how the Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force equation looks like with Values.

Here is how the Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force equation looks like with Units.

Here is how the Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force equation looks like.

1439.9961 = - ((\frac{402.22}{9.8066 \cdot 0.65 \cdot (16 - 6)} - 7750))

1439.9961kg/m³ = - ((\frac{402.22kN}{9.8066m/s² \cdot 0.65m² \cdot (16m - 6)} - 7750kg/m³))

1439.9961 = - ((\frac{402.22}{9.8066 \cdot 0.65 \cdot (16 - 6)} - 7750))

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

Follow our step by step solution on how to calculate Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

ρ m = - ((\frac{402.22kN}{[g] \cdot 0.65m² \cdot (16m - 6)} - 7750kg/m³))

Next Step Substitute values of Constants

∴

ρ m = - ((\frac{402.22kN}{9.8066m/s² \cdot 0.65m² \cdot (16m - 6)} - 7750kg/m³))

Next Step Convert Units

∴

ρ m = - ((\frac{402220N}{9.8066m/s² \cdot 0.65m² \cdot (16m - 6)} - 7750kg/m³))

Next Step Prepare to Evaluate

∴

ρ m = - ((\frac{402220}{9.8066 \cdot 0.65 \cdot (16 - 6)} - 7750))

Next Step Evaluate

∴

ρ m = 1439.99607409258kg/m³

LAST Step Rounding Answer

∴

ρ m = 1439.9961kg/m³

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

Effective Tension

Effective Tension when buoyant force acts in a direction opposite to the gravity force.

Symbol: T_e

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Effective Tension

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

Coordinate measured Downward from Top

Coordinate measured Downward from Top depends on tension on a Vertical Drill String.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coordinate measured Downward from Top

Mass Density of Steel

Mass Density of Steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3.

Symbol: ρ_s

Measurement: Mass ConcentrationUnit: kg/m³

Note: Value can be positive or negative.

Formulas to find Mass Density of Steel

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 given Vertical Force at Bottom End of Drill String

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

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 when Buoyant Force acts in Direction opposite to Gravity Force?

Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force evaluator uses 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)) to evaluate the Density of Drilling Mud, The Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force explains if buoyant force caused by mud is treated as distributed force concluding, that there is distributed buoyant force acting on entire body equal to weight of drilling mud displaced by drill string. Density of Drilling Mud is denoted by ρ_m symbol.

How to evaluate Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force using this online evaluator? To use this online evaluator for Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force, enter Effective Tension (T_e), Cross Section Area of Steel in Pipe (A_s), Length of Pipe Hanging in Well (L_Well), Coordinate measured Downward from Top (z) & Mass Density of Steel (ρ_s) and hit the calculate button.

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

What is the formula to find Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force?

The formula of Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force is expressed as 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)). Here is an example- 1439.996 = -((402220/([g]*0.65*(16-6))-7750)).

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

With Effective Tension (T_e), Cross Section Area of Steel in Pipe (A_s), Length of Pipe Hanging in Well (L_Well), Coordinate measured Downward from Top (z) & Mass Density of Steel (ρ_s) we can find Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force using the formula - 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)). 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=Vertical Force at Bottom end of Drill String/([g]*Cross Section Area of Steel in Pipe*Length of Pipe Hanging in Well)
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 when Buoyant Force acts in Direction opposite to Gravity Force be negative?

Yes, the Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force, measured in Density can be negative.

Which unit is used to measure Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force?

Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force 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 when Buoyant Force acts in Direction opposite to Gravity Force can be measured.

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

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

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

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

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

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

Other Formulas to find Density of Drilling Mud

Other formulas in Hydrostatics category

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

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

Variable Name

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

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