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  | part    = Predicting the occurrence of oil and gas traps
 
  | part    = Predicting the occurrence of oil and gas traps
 
  | chapter = Predicting reservoir system quality and performance
 
  | chapter = Predicting reservoir system quality and performance
  | frompg  = 9-1
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  | frompg  = 9-23
  | topg    = 9-156
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  | topg    = 9-25
 
  | author  = Dan J. Hartmann, Edward A. Beaumont
 
  | author  = Dan J. Hartmann, Edward A. Beaumont
 
  | link    = http://archives.datapages.com/data/specpubs/beaumont/ch09/ch09.htm
 
  | link    = http://archives.datapages.com/data/specpubs/beaumont/ch09/ch09.htm
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:<math>\mbox{P}_{\rm c} = \frac{2\gamma \cos \Theta}{\mbox{r}}</math>
 
:<math>\mbox{P}_{\rm c} = \frac{2\gamma \cos \Theta}{\mbox{r}}</math>
   −
This expression assumes the capillary phenomenon occurs within a tube with a circular cross section. Real pores only approximate this, and then only if they are intergranular or intercrystalline (Coalson, personal communication, 1997).
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This expression assumes the capillary phenomenon occurs within a tube with a circular [[cross section]]. Real pores only approximate this, and then only if they are intergranular or inter crystalline.<ref name=CoalsonPC>Coalson, personal communication, 1997</ref>
    
==Capillary test procedure==
 
==Capillary test procedure==
   −
[[file:predicting-reservoir-system-quality-and-performance_fig9-11.png|thumb|{{figure number|1}}Example of a mercury capillary pressure test.]]
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[[file:predicting-reservoir-system-quality-and-performance_fig9-11.png|300px|thumb|{{figure number|1}}Example of a mercury capillary pressure test.]]
    
In a mercury capillary pressure test, a rock with a measured [[porosity]] is immersed in a mercury pressure cell. The pressure in the cell is raised to a predetermined pressure level (P1, [[:file:predicting-reservoir-system-quality-and-performance_fig9-11.png|Figure 1]]). When the cell comes to equilibrium, the volume of injected mercury is measured (V2). Since the porosity of the test sample is known prior to the test, the volume of injected mercury can be converted to the percent of the total pore volume filled with mercury (for example, 10% at [[pressure::10 psi]] for point M1). All the pores filled with mercury at this point in the test have at least one 10μ pore throat radius or larger and represent 10% of the sample's pore volume. This procedure is repeated several more times at different pressures (for example, points M2 through M5).
 
In a mercury capillary pressure test, a rock with a measured [[porosity]] is immersed in a mercury pressure cell. The pressure in the cell is raised to a predetermined pressure level (P1, [[:file:predicting-reservoir-system-quality-and-performance_fig9-11.png|Figure 1]]). When the cell comes to equilibrium, the volume of injected mercury is measured (V2). Since the porosity of the test sample is known prior to the test, the volume of injected mercury can be converted to the percent of the total pore volume filled with mercury (for example, 10% at [[pressure::10 psi]] for point M1). All the pores filled with mercury at this point in the test have at least one 10μ pore throat radius or larger and represent 10% of the sample's pore volume. This procedure is repeated several more times at different pressures (for example, points M2 through M5).
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==Pore throat profiles==
 
==Pore throat profiles==
   −
[[file:predicting-reservoir-system-quality-and-performance_fig9-12.png|thumb|{{figure number|2}}Curve drawn through the points in Figure 1.]]
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[[file:predicting-reservoir-system-quality-and-performance_fig9-12.png|300px|thumb|{{figure number|2}}Curve drawn through the points in Figure 1.]]
   −
A curve is drawn through the measured points at test completion. This capillary pressure curve also represents a pore throat size profile for the tested sample. It relates a given pore throat size to its capillary resistance (P<sub>c</sub>). [[:file:predicting-reservoir-system-quality-and-performance_fig9-12.png|Figure 1]] shows the curve drawn through the points in [[:file:predicting-reservoir-system-quality-and-performance_fig9-11.png|Figure 1]].
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A curve is drawn through the measured points at test completion. This capillary pressure curve also represents a pore throat size profile for the tested sample. It relates a given pore throat size to its capillary resistance (P<sub>c</sub>). [[:file:predicting-reservoir-system-quality-and-performance_fig9-12.png|Figure 2]] shows the curve drawn through the points in [[:file:predicting-reservoir-system-quality-and-performance_fig9-11.png|Figure 1]].
    
==Converting capillary pressure to pore throat size==
 
==Converting capillary pressure to pore throat size==
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:<math>\mbox{r} = \frac{2\gamma \cos \Theta}{\mbox{P}_{\rm c}}</math>
 
:<math>\mbox{r} = \frac{2\gamma \cos \Theta}{\mbox{P}_{\rm c}}</math>
   −
Capillary pressure for a given S<sub>w</sub> can also be converted to an approximation of height above free water (''h'') within a reservoir system. From a capillary pressure curve at a given S<sub>w</sub>, we read the capillary pressure and multiply it by a factor that converts P<sub>c</sub> to [[buoyancy pressure]] (P<sub>b</sub>). If the conversion factor is not known, we use 0.4 for gas and 0.7 for oil.
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Capillary pressure for a given S<sub>w</sub> can also be converted to an approximation of height above [[free water level|free water]] (''h'') within a reservoir system. From a capillary pressure curve at a given S<sub>w</sub>, we read the capillary pressure and multiply it by a factor that converts P<sub>c</sub> to [[buoyancy pressure]] (P<sub>b</sub>). If the conversion factor is not known, we use 0.4 for gas and 0.7 for oil.
    
==Using p<sub>c</sub> to estimate ''h'' and ''r''==
 
==Using p<sub>c</sub> to estimate ''h'' and ''r''==
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{| class = "wikitable"
 
{| class = "wikitable"
 
|-
 
|-
! To estimate
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! To estimate || Follow this procedure
! Follow this procedure
   
|-
 
|-
 
| Pore throat size ( ''r'' ) from S<sub>w</sub>
 
| Pore throat size ( ''r'' ) from S<sub>w</sub>
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==Example==
 
==Example==
   −
[[file:predicting-reservoir-system-quality-and-performance_fig9-13.png|thumb|{{figure number|3}}Example of a mercury capillary pressure test.]]
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[[file:predicting-reservoir-system-quality-and-performance_fig9-13.png|300px|thumb|{{figure number|3}}Example of a mercury capillary pressure test.]]
   −
Using the curve in [[:file:predicting-reservoir-system-quality-and-performance_fig9-13.png|Figure 3]], if S<sub>w</sub> = 20% (point 1), then the mercury capillary pressure (P<sub>c</sub>) that must be overcome to enter pore throats at that point on the curve is [[pressure::200 psi]] (point 2). Converting mercury P<sub>c</sub> to hydrocarbon column height (''h''):
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Using the curve in [[:file:predicting-reservoir-system-quality-and-performance_fig9-13.png|Figure 3]], if S<sub>w</sub> = 20% (point 1), then the mercury capillary pressure (P<sub>c</sub>) that must be overcome to enter pore throats at that point on the curve is [[pressure::200 psi]] (point 2). Converting mercury P<sub>c</sub> to [[hydrocarbon column]] height (''h''):
    
:<math>\mbox{h}  = 200 \mbox{ psi} \times 0.7 = 140 \mbox{ ft of oil column}</math>
 
:<math>\mbox{h}  = 200 \mbox{ psi} \times 0.7 = 140 \mbox{ ft of oil column}</math>
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==See also==
 
==See also==
* [[Classifying pore systems]]
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* [[Pore systems]]
 
* [[Pore system fundamentals]]
 
* [[Pore system fundamentals]]
 
* [[Pore system shapes]]
 
* [[Pore system shapes]]
 
* [[Pore and pore throat sizes]]
 
* [[Pore and pore throat sizes]]
* [[Connectivity and pore throat size]]
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* [[Pore throat size and connectivity]]
* [[Classifying pore systems]]
+
 
 +
==References==
 +
{{reflist}}
    
==External links==
 
==External links==
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[[Category:Predicting the occurrence of oil and gas traps]]  
 
[[Category:Predicting the occurrence of oil and gas traps]]  
 
[[Category:Predicting reservoir system quality and performance]]
 
[[Category:Predicting reservoir system quality and performance]]
 +
[[Category:Treatise Handbook 3]]

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