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

STEP 0: Pre-Calculation Summary
Formula Used
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))
ρm = -((Te/([g]*As*(L-z))-ρs))
This formula uses 1 Constants, 6 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Variables Used
Density of Drilling Mud - (Measured in Kilogram per Cubic Meter) - Density of Drilling Mud considering a steel drilling pipe hanging in an oil well.
Effective Tension - (Measured in Newton) - Effective Tension when buoyant force acts in a direction opposite to the gravity force.
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.
Coordinate measured Downward from Top - Coordinate measured Downward from Top depends on tension on a Vertical Drill String.
Mass Density of Steel - (Measured in Kilogram per Cubic Meter) - Mass Density of Steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3.
STEP 1: Convert Input(s) to Base Unit
Effective Tension: 402.22 Kilonewton --> 402220 Newton (Check conversion here)
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
Coordinate measured Downward from Top: 6 --> No Conversion Required
Mass Density of Steel: 7750 Kilogram per Cubic Meter --> 7750 Kilogram per Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ρm = -((Te/([g]*As*(L-z))-ρs)) --> -((402220/([g]*0.65*(16-6))-7750))
Evaluating ... ...
ρm = 1439.99607409258
STEP 3: Convert Result to Output's Unit
1439.99607409258 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
1439.99607409258 1439.996 Kilogram per Cubic Meter <-- Density of Drilling Mud
(Calculation completed in 00.019 seconds)

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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

Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force 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))
ρm = -((Te/([g]*As*(L-z))-ρs))

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 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 calculator 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 calculate 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 ρm symbol.

How to calculate Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force using this online calculator? To use this online calculator for Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force, enter Effective Tension (Te), Cross Section Area of Steel in Pipe (As), Length of Pipe Hanging in Well (L), Coordinate measured Downward from Top (z) & Mass Density of Steel s) and hit the calculate button. Here is how the Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force calculation can be explained with given input values -> 1439.996 = -((402220/([g]*0.65*(16-6))-7750)).

FAQ

What is Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force?
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 and is represented as ρm = -((Te/([g]*As*(L-z))-ρs)) or 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)). Effective Tension when buoyant force acts in a direction opposite to the gravity force, 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, Coordinate measured Downward from Top depends on tension on a Vertical Drill String & Mass Density of Steel varies based on the alloying constituents but usually ranges between 7,750 and 8,050 kg/m3.
How to calculate Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force?
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 is calculated using 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 calculate Mass Density of Drilling Mud when Buoyant Force acts in Direction opposite to Gravity Force, you need Effective Tension (Te), Cross Section Area of Steel in Pipe (As), Length of Pipe Hanging in Well (L), Coordinate measured Downward from Top (z) & Mass Density of Steel s). With our tool, you need to enter the respective value for Effective Tension, Cross Section Area of Steel in Pipe, Length of Pipe Hanging in Well, Coordinate measured Downward from Top & Mass Density of Steel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Density of Drilling Mud?
In this formula, Density of Drilling Mud uses Effective Tension, Cross Section Area of Steel in Pipe, Length of Pipe Hanging in Well, Coordinate measured Downward from Top & Mass Density of Steel. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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
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