Permeability Measurements Using Gas Answer

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West Virginia University

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PNGE 43

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Bassam Almulhim-800125192

Experiment #4

Permeability Measurements Using Gas

Group A, #1

02/02/2018

PNGE432-007

Petroleum Reservoir Engineering Laboratory

Dr. Mehrdad Zamirian

West Virginia University

Department of Petroleum and Natural Engineering

Objective

The main target of this experiment is to calculate the absolute permeability by

Darcy’s law for gasses after reading the water height from the manometer.

Theory

It has been studied and revealed that rocks have a tendency to retain water, a

feature that is commonly referred to as rock porosity. Based on this feature, then

another fundamental characteristic called rock permeability can be found. Here, rock

permeability refers to the degree to which the rock can allow the retained water to pass,

in other words the degree of porosity of the rock.

After research in 1856, a Darcy equation was derived that can be used to

calculate the permeability. This work was done by Henry D’Arcy by conducting an

experiment based on the water flow through sand. This equation relates fluid velocity to

its viscosity () and pressure gradient 











 as follows:

  





 





In this equation,        



The Darcy equation therefore can be used to calculate the permeability of a

medium. Darcy (D) is the unit of measure of the permeability and can be found by

dimensional analysis as follows:

 











 









  











 





















Finally, the result simplifies to the following:

 









Further, it can be proved that:

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Bassam Almulhim-800125192 Experiment #4 Permeability Measurements Using Gas Group A, #1 02/02/2018 PNGE432-007 Petroleum Reservoir Engineering Laboratory Dr. Mehrdad Zamirian West Virginia University Department of Petroleum and Natural Engineering Objective The main target of this experiment is to calculate the absolute permeability by Darcy’s law for gasses after reading the water height from the manometer. Theory It has been studied and revealed that rocks have a tendency to retain water, a feature that is commonly referred to as rock porosity. Based on this feature, then another fundamental characteristic called rock permeability can be found. Here, rock permeability refers to the degree to which the rock can allow the retained water to pass, in other words the degree of porosity of the rock. After research in 1856, a Darcy equation was derived that can be used to calculate the permeability. This work was done by Henry D’Arcy by conducting an experiment based on the water flow through sand. This equation relates fluid velocity to ℎ1 −ℎ2 its viscosity (𝜇) and pressure gradient ( 𝐿 ) as follows: 𝑉𝑜𝑙𝑢𝑚𝑒𝑡𝑟𝑖𝑐 𝑓𝑙𝑜𝑤 𝑟𝑎𝑡𝑒, 𝑄 = 𝑘𝐴 ℎ1 − ℎ2 𝜇𝐿 In this equation, 𝑘 = 𝑃𝑒𝑟𝑚𝑎𝑒𝑏𝑖𝑙𝑖𝑡𝑦, 𝐴 = 𝐶𝑟𝑜𝑠𝑠 − 𝑠𝑒𝑐𝑡𝑖𝑜𝑛𝑎𝑙 𝑎𝑟𝑒𝑎, 𝐿 = 𝐿𝑒𝑛𝑔𝑡ℎ 𝑜𝑓 𝑚𝑒𝑑𝑖𝑢𝑚. The Darcy equation ...
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