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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  = 9-29
  | topg    = 9-156
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  | topg    = 9-33
 
  | 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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[[file:predicting-reservoir-system-quality-and-performance_fig9-16.png|300px|thumb|{{figure number|1}}SEM microphotographs.]]
 
[[file:predicting-reservoir-system-quality-and-performance_fig9-16.png|300px|thumb|{{figure number|1}}SEM microphotographs.]]
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Using K<sub>a</sub> and Φ data separately to characterize reservoir rock quality is misleading. Consider the rocks shown in the SEM microphotographs in [[:file:predicting-reservoir-system-quality-and-performance_fig9-16.png|Figure 1]]. Flow unit 1 is a mesoporous, sucrosic dolomite. Its average Φ is 30% and average K<sub>a</sub> is 10 md. Flow unit 2 is a macroporous, oolitic limestone. Its average Φ is 10% and average K<sub>a</sub> is 10 md.
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Using K<sub>a</sub> and Φ data separately to characterize reservoir rock quality is misleading. Consider the rocks shown in the SEM microphotographs in [[:file:predicting-reservoir-system-quality-and-performance_fig9-16.png|Figure 1]]. Flow unit 1 is a [[Wikipedia:Mesoporous material|mesoporous]], sucrosic [[dolomite]]. Its average Φ is 30% and average K<sub>a</sub> is 10 md. Flow unit 2 is a macroporous, oolitic [[limestone]]. Its average Φ is 10% and average K<sub>a</sub> is 10 md.
    
Initially, we might think that flow unit 1 is higher quality because it has three times more porosity and the same permeability as flow unit 2. However, in terms of fluid flow efficiency and storage, as shown by the K<sub>a</sub>/Φ ratio or r<sub>35</sub>, flow unit 2 is actually the better rock.
 
Initially, we might think that flow unit 1 is higher quality because it has three times more porosity and the same permeability as flow unit 2. However, in terms of fluid flow efficiency and storage, as shown by the K<sub>a</sub>/Φ ratio or r<sub>35</sub>, flow unit 2 is actually the better rock.
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Pittman<ref name=ch09r46 /> speculates, “Perhaps Winland found the best correlation to be r<sub>35</sub> because that is where the average modal pore aperture occurs and where the pore network is developed to the point of serving as an effective pore system that dominates flow.” The capillary pressure curve and pore throat size histogram in [[:file:predicting-reservoir-system-quality-and-performance_fig9-18.png|Figure 3]] illustrate Pittman's point.
 
Pittman<ref name=ch09r46 /> speculates, “Perhaps Winland found the best correlation to be r<sub>35</sub> because that is where the average modal pore aperture occurs and where the pore network is developed to the point of serving as an effective pore system that dominates flow.” The capillary pressure curve and pore throat size histogram in [[:file:predicting-reservoir-system-quality-and-performance_fig9-18.png|Figure 3]] illustrate Pittman's point.
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==The winland r<sub>35</sub> equation==
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==The Winland r<sub>35</sub> equation==
 
Winland<ref name=ch09r70>Winland, H., D., 1972, Oil accumulation in response to pore size changes, Weyburn field, Saskatchewan: Amoco Production Company Report F72-G-25, 20 p. (unpublished).</ref><ref name=ch09r71>Winland, H., D., 1976, Evaluation of gas slippage and pore aperture size in carbonate and sandstone reservoirs: Amoco Production Company Report F76-G-5, 25 p. (unpublished).</ref> developed the following equation to calculate r<sub>35</sub> for samples with intergranular or intercrystalline porosity:
 
Winland<ref name=ch09r70>Winland, H., D., 1972, Oil accumulation in response to pore size changes, Weyburn field, Saskatchewan: Amoco Production Company Report F72-G-25, 20 p. (unpublished).</ref><ref name=ch09r71>Winland, H., D., 1976, Evaluation of gas slippage and pore aperture size in carbonate and sandstone reservoirs: Amoco Production Company Report F76-G-5, 25 p. (unpublished).</ref> developed the following equation to calculate r<sub>35</sub> for samples with intergranular or intercrystalline porosity:
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==Characterizing rock quality with r<sub>35</sub>==
 
==Characterizing rock quality with r<sub>35</sub>==
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[[file:predicting-reservoir-system-quality-and-performance_fig9-19.png|thumb|{{figure number|4}}K<sub>a</sub>/Φ plot.]]
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[[file:predicting-reservoir-system-quality-and-performance_fig9-19.png|300px|thumb|{{figure number|4}}K<sub>a</sub>/Φ plot.]]
    
Rock quality is easily characterized using r<sub>35</sub>. Consider the clusters of points representing flow units 1 and 2 ([[:file:predicting-reservoir-system-quality-and-performance_fig9-16.png|Figure 1]]) on the K<sub>a</sub>/Φ plot in [[:file:predicting-reservoir-system-quality-and-performance_fig9-19.png|Figure 4]]. The diagonal curved lines represent equal r<sub>35</sub> values. Points plotting along the same lines represent rocks with similar r<sub>35</sub> values and have similar quality. By interpolation, r<sub>35</sub> for flow unit 1 is approximately 1.1μ, and r<sub>35</sub> for flow unit 2 is approximately 3μ. The r<sub>35</sub> in flow unit 2 is almost three times as large as flow unit 1. Therefore, flow unit 2 has better flow quality.
 
Rock quality is easily characterized using r<sub>35</sub>. Consider the clusters of points representing flow units 1 and 2 ([[:file:predicting-reservoir-system-quality-and-performance_fig9-16.png|Figure 1]]) on the K<sub>a</sub>/Φ plot in [[:file:predicting-reservoir-system-quality-and-performance_fig9-19.png|Figure 4]]. The diagonal curved lines represent equal r<sub>35</sub> values. Points plotting along the same lines represent rocks with similar r<sub>35</sub> values and have similar quality. By interpolation, r<sub>35</sub> for flow unit 1 is approximately 1.1μ, and r<sub>35</sub> for flow unit 2 is approximately 3μ. The r<sub>35</sub> in flow unit 2 is almost three times as large as flow unit 1. Therefore, flow unit 2 has better flow quality.
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==Example capillary pressure curves==
 
==Example capillary pressure curves==
 
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<gallery mode=packed widths=300px heights=300px>
[[file:predicting-reservoir-system-quality-and-performance_fig9-20.png|thumb|{{figure number|5}}Hypothetical capillary pressure curves.]]
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file:predicting-reservoir-system-quality-and-performance_fig9-20.png|{{figure number|5}}Hypothetical capillary pressure curves.
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file:predicting-reservoir-system-quality-and-performance_fig9-21.png|{{figure number|6}}Hypothetical drainage relative permeability curves.
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</gallery>
    
Hypothetical capillary pressure curves can be drawn by using r<sub>35</sub> as a point on the curve. The capillary pressure curves below are hypothetical curves for the example presented in [[:file:predicting-reservoir-system-quality-and-performance_fig9-19.png|Figure 4]]. The curves demonstrate that entry pressures for flow unit 2 are less than those for flow unit 1; therefore, fluid flow in flow unit 2 is more efficient. In [[:file:predicting-reservoir-system-quality-and-performance_fig9-20.png|Figure 5]], it takes [[length::28 ft]] of oil column for oil to enter 35% of pore space of flow unit 2 and [[length::70 ft]] to enter 35% of pore space of flow unit 1.
 
Hypothetical capillary pressure curves can be drawn by using r<sub>35</sub> as a point on the curve. The capillary pressure curves below are hypothetical curves for the example presented in [[:file:predicting-reservoir-system-quality-and-performance_fig9-19.png|Figure 4]]. The curves demonstrate that entry pressures for flow unit 2 are less than those for flow unit 1; therefore, fluid flow in flow unit 2 is more efficient. In [[:file:predicting-reservoir-system-quality-and-performance_fig9-20.png|Figure 5]], it takes [[length::28 ft]] of oil column for oil to enter 35% of pore space of flow unit 2 and [[length::70 ft]] to enter 35% of pore space of flow unit 1.
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[[file:predicting-reservoir-system-quality-and-performance_fig9-21.png|thumb|{{figure number|6}}Hypothetical drainage relative permeability curves.]]
      
===Example relative permeability curves===
 
===Example relative permeability curves===
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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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