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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  = 9-40
  | topg    = 9-156
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  | topg    = 9-43
 
  | 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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==Why k<sub>ro</sub> or k<sub>rg</sub> is less than k<sub>ab</sub>==
 
==Why k<sub>ro</sub> or k<sub>rg</sub> is less than k<sub>ab</sub>==
   −
[[file:predicting-reservoir-system-quality-and-performance_fig9-26.png|thumb|{{figure number|1}}See text for explanation.]]
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[[file:predicting-reservoir-system-quality-and-performance_fig9-26.png|300px|thumb|{{figure number|1}}When a sample contains oil or gas and water (where water wets the grain surface), the pore throat size (B) for oil or gas flow is less than the absolute pore throat size (A). The thickness of the water layer coating the grains is proportional to the S<sub>w</sub> of the rock. In other words, as [[buoyancy pressure]] increases, S<sub>w</sub> decreases and the effective size of the pore throat for oil or gas flow (B) increases.]]
    
A pore system saturated 100% with any fluid transmits that fluid at a rate relative to the pore throat size and the pressure differential. In the drawing in [[:file:predicting-reservoir-system-quality-and-performance_fig9-26.png|Figure 1]], the absolute pore throat size (A) is noted as the distance between grain surfaces. When a sample contains oil or gas and water (where water wets the grain surface), the pore throat size (B) for oil or gas flow is less than the absolute pore throat size (A). The thickness of the water layer coating the grains is proportional to the S<sub>w</sub> of the rock. In other words, as [[buoyancy pressure]] increases, S<sub>w</sub> decreases and the effective size of the pore throat for oil or gas flow (B) increases.
 
A pore system saturated 100% with any fluid transmits that fluid at a rate relative to the pore throat size and the pressure differential. In the drawing in [[:file:predicting-reservoir-system-quality-and-performance_fig9-26.png|Figure 1]], the absolute pore throat size (A) is noted as the distance between grain surfaces. When a sample contains oil or gas and water (where water wets the grain surface), the pore throat size (B) for oil or gas flow is less than the absolute pore throat size (A). The thickness of the water layer coating the grains is proportional to the S<sub>w</sub> of the rock. In other words, as [[buoyancy pressure]] increases, S<sub>w</sub> decreases and the effective size of the pore throat for oil or gas flow (B) increases.
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==Interpreting a relative permeability curve==
 
==Interpreting a relative permeability curve==
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[[file:predicting-reservoir-system-quality-and-performance_fig9-27.png|thumb|{{figure number|2}} Modified.]]
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[[file:predicting-reservoir-system-quality-and-performance_fig9-27.png|300px|thumb|{{figure number|2}}Three relative permeability curves. Modified from Arps.<ref name=Arps_1964>Arps, J. J. 1964, [http://archives.datapages.com/data/bulletns/1961-64/data/pg/0048/0002/0150/0157.htm Engineering concepts useful in oil finding]: AAPG Bulletin, v. 48, no. 2, p. 943-961.</ref>]]
   −
The diagram in [[:file:predicting-reservoir-system-quality-and-performance_fig9-27.png|Figure 2]] shows relationships between relative permeability curves (drainage and imbibition), [[capillary pressure]], and fluid distribution in a homogeneous section of a reservoir system. The reservoir system rock has a [[porosity]] of 30% and a permeability of 10 md (r<sub>35</sub> = 1.1μ). Laboratory single-phase air permeability is typically used to represent absolute permeability (K<sub>a</sub> when determining relative permeability to oil or water at a specific S<sub>w</sub>.
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The diagram in [[:file:predicting-reservoir-system-quality-and-performance_fig9-27.png|Figure 2]] shows relationships between relative permeability curves (drainage and imbibition), [[capillary pressure]], and fluid distribution in a homogeneous section of a reservoir system. The reservoir system rock has a [[porosity]] of 30% and a permeability of 10 md ([[Characterizing_rock_quality#What_is_r35.3F|r<sub>35</sub>]] = 1.1μ). Laboratory single-phase air permeability is typically used to represent absolute permeability (K<sub>a</sub> when determining relative permeability to oil or water at a specific S<sub>w</sub>.
   −
[[: [[:file:predicting-reservoir-system-quality-and-performance_fig9-27.png|Figure 2]] depicts three relative permeability curves:
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[[:file:predicting-reservoir-system-quality-and-performance_fig9-27.png|Figure 2]] depicts three relative permeability curves:
    
* Water (K<sub>rw</sub>)—similar for both drainage and imbibition tests
 
* Water (K<sub>rw</sub>)—similar for both drainage and imbibition tests
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Consider points A–D below. Point A, at S<sub>w</sub> = 100%, is the original condition of the sample. Here K<sub>rw</sub> ≈ K<sub>a</sub> (10 md). At point B (S<sub>w</sub> ≈ 90%, S<sub>0</sub> = 10%), oil breaks through the sample, representing the [[migration]] saturation of the sample; K<sub>ro</sub> = 1.0. At point C (S<sub>w</sub> ≈ 50%, S<sub>o</sub> ≈ 10%), K<sub>rw</sub> is less than 1% of K<sub>a</sub> and water, now confined to only the smallest ports, ceases to flow while oil flow approaches its maximum. At point D on the K<sub>ro-D</sub> curve (S<sub>w</sub> ≈ 20%, S<sub>o</sub> ≈ 80%), relative permeability is approaching 1.0 (~ 10 md).
 
Consider points A–D below. Point A, at S<sub>w</sub> = 100%, is the original condition of the sample. Here K<sub>rw</sub> ≈ K<sub>a</sub> (10 md). At point B (S<sub>w</sub> ≈ 90%, S<sub>0</sub> = 10%), oil breaks through the sample, representing the [[migration]] saturation of the sample; K<sub>ro</sub> = 1.0. At point C (S<sub>w</sub> ≈ 50%, S<sub>o</sub> ≈ 10%), K<sub>rw</sub> is less than 1% of K<sub>a</sub> and water, now confined to only the smallest ports, ceases to flow while oil flow approaches its maximum. At point D on the K<sub>ro-D</sub> curve (S<sub>w</sub> ≈ 20%, S<sub>o</sub> ≈ 80%), relative permeability is approaching 1.0 (~ 10 md).
   −
[[:file:predicting-reservoir-system-quality-and-performance_fig9-27.png|Figure 2]] is an example of “drainage” relative permeability of a water-wet reservoir. It shows changes in K<sub>ro</sub> and K<sub>rw</sub> as S<sub>w</sub> decreases, as in a water-drive reservoir during hydrocarbon fill-up. “Imbibition” K<sub>ro</sub> and K<sub>rw</sub> have a different aspect, being measured while S<sub>w</sub> increases, as it does during production in a reservoir with a water drive.
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[[:file:predicting-reservoir-system-quality-and-performance_fig9-27.png|Figure 2]] is an example of “drainage” relative permeability of a water-wet reservoir. It shows changes in K<sub>ro</sub> and K<sub>rw</sub> as S<sub>w</sub> decreases, as in a water-drive reservoir during hydrocarbon fill-up. “Imbibition” K<sub>ro</sub> and K<sub>rw</sub> have a different aspect, being measured while S<sub>w</sub> increases, as it does during production in a reservoir with a water drive.
    
==Drainage vs. imbibition curves==
 
==Drainage vs. imbibition curves==
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==Pore throat size and k<sub>r</sub>==
 
==Pore throat size and k<sub>r</sub>==
Every pore type has a unique relative permeability signature. Consider the hypothetical drainage relative permeability type curves shown below. Curves A, B, and C represent the relative permeability relationships for rocks with different port types: macro, meso, and micro, respectively. Curve A represents a rock with greater performance capability than B or C. Note how critical water saturation decreases as pore throat size increases. Also note the changing position of K<sub>ro</sub>–K<sub>rw</sub> crossover with changes in pore throat size.
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[[file:predicting-reservoir-system-quality-and-performance_fig9-28.png|300px|thumb|{{figure number|3}}Relative permeability relationships for rock with different pore types.]]
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Every pore type has a unique relative permeability signature. Consider the hypothetical drainage relative permeability type curves shown in [[:file:predicting-reservoir-system-quality-and-performance_fig9-28.png|Figure 3]]. Curves A, B, and C represent the relative permeability relationships for rocks with different pore types: macro, [[Wikipedia:Mesoporous material|meso]], and micro, respectively. Curve A represents a rock with greater performance capability than B or C. Note how critical water saturation decreases as pore throat size increases. Also note the changing position of K<sub>ro</sub>–K<sub>rw</sub> crossover with changes in pore throat size.
    
==Critical water saturation==
 
==Critical water saturation==
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==Critical water saturation==
 
==Critical water saturation==
   −
[[file:predicting-reservoir-system-quality-and-performance_fig9-28.png|thumb|{{figure number|3}}See text for explanation.]]
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The critical S<sub>w</sub> value is different for each port type. Curve A in Figure 9-28 represents rocks with macroporosity. It has a critical S<sub>w</sub> less than 20%. Curve B represents a rock (continued) with [[Wikipedia:Mesoporous material|mesoporosity]]. Mesoporous rocks have a critical S<sub>w</sub> of 20–60%. Curve C represents rocks with microporosity. They have a critical S<sub>w</sub> of 60–80%.
 
  −
The critical S<sub>w</sub> value is different for each port type. Curve A in Figure 9-28 represents rocks with macroporosity. It has a critical S<sub>w</sub> less than 20%. Curve B represents a rock (continued) with mesoporosity. Mesoporous rocks have a critical S<sub>w</sub> of 20–60%. Curve C represents rocks with microporosity. They have a critical S<sub>w</sub> of 60–80%.
      
The table below summarizes representative critical S<sub>w</sub> values for macro-, meso-, and micropore types that correspond to A, B, and C, respectively, in [[:file:predicting-reservoir-system-quality-and-performance_fig9-28.png|Figure 3]].
 
The table below summarizes representative critical S<sub>w</sub> values for macro-, meso-, and micropore types that correspond to A, B, and C, respectively, in [[:file:predicting-reservoir-system-quality-and-performance_fig9-28.png|Figure 3]].
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==See also==
 
==See also==
* [[Pore–fluid interaction]]
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* [[Pore-fluid interaction]]
 
* [[Hydrocarbon expulsion, migration, and accumulation]]
 
* [[Hydrocarbon expulsion, migration, and accumulation]]
 
* [[Characterizing rock quality]]
 
* [[Characterizing rock quality]]
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* [[Converting Pc curves to buoyancy, height, and pore throat radius]]
 
* [[Converting Pc curves to buoyancy, height, and pore throat radius]]
 
* [[What is permeability?]]
 
* [[What is permeability?]]
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==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]]
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[[Category:Treatise Handbook 3]]

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