Calculating Mass of Oil in Cylindrical Core

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Discussion Overview

The discussion revolves around calculating the mass of oil in a cylindrical core that is partially filled with oil, considering the differing porosities of the core and the surrounding annular region. The context involves both physics and mathematics, particularly focusing on numerical calculations and the application of cylindrical coordinates.

Discussion Character

  • Exploratory
  • Mathematical reasoning

Main Points Raised

  • One participant seeks assistance in calculating the mass of oil in a cylindrical core, noting the complexity due to different porosities in the core and the annular region.
  • Another participant suggests that knowing the density of oil allows for a straightforward calculation of mass by multiplying density by volume, but this is not aligned with the original question.
  • The original poster clarifies that the problem involves a discrete summation over a volume containing two different media, indicating a more complex scenario than a simple density-volume calculation.
  • A suggestion is made to find the center of mass of the system by computing the center of mass of each component and averaging them, but this is later dismissed by the original poster.
  • The original poster eventually shares a formula for calculating the mass, which involves summing over the porosity, radius, and density, indicating they have resolved their query independently.

Areas of Agreement / Disagreement

There is no consensus on the approach to calculating the mass of oil, as participants present differing interpretations of the problem and methods. The original poster ultimately finds a solution independently, but the discussion reflects a range of perspectives and suggestions.

Contextual Notes

The discussion highlights the complexity of the problem, particularly the need to account for different porosities and the use of cylindrical coordinates. There are unresolved aspects regarding the assumptions made about the system and the mathematical steps involved in the proposed solutions.

Miro
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Hi everybody,
didn't really know where to put this thread since it's physics using math, so I'm sorry if it's not in its appropriate place.

My problem is:
I need to compute the mass of oil in a cylindrical core put into a core holder.it's partially filled of oil. I didn't know how to numerically calculate it knowing that the porosity of the core is different of the outside annular's one.

I'd be so thankful if u could help. :smile:

PS: it's none of HW, but I need it in a project I'm working on.
 
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Well if you know the density of oil (mass per volume) you can just multiply the density by the volume that you need to fill to find the mass needed.

Was that your question?
 
It wasn't really my question,

it's some kind of discreet summation over the volume which contains two different media (porous medium & fracture: 2 different porosities).

PS: it's about cylindrical coordinates

hope it's clear..
 
You want to find the center of mass of the system then? If so, just compute the center of mass of each component and compute the weighted average of them as though they were point-masses.
 
benorin said:
You want to find the center of mass of the system then? If so, just compute the center of mass of each component and compute the weighted average of them as though they were point-masses.


Not really, thanks anyway, I found out how to do it:
sum(2*3.14*porosity(i,j,k)*r(i)*dr(i)*dz(k)*density)

where (i,j,k) are the coordinates of a point,
r(i) the radius,
dr(i) the radius variation,
dz(k) the height variation.


:smile: thanks 4 everybody,
 

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