Permeability Measurements Using Gas Answer

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West Virginia University
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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
West Virginia University
Department of Petroleum and Natural Engineering

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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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