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==Procedure: estimating density from r<sub>w</sub>==
 
==Procedure: estimating density from r<sub>w</sub>==
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[[file:formation-fluid-pressure-and-its-application_fig5-5.png|300px|thumb|{{figure number|1}}Determining NaCl concentration. Copyright: Schlumberger.]]
 +
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[[file:formation-fluid-pressure-and-its-application_fig5-6.png|300px|thumb|{{figure number|2}}Use to estimate formation water density from ppm NaCl and temperature. Copyright: Gearhart-Owens.<ref name=G-O1972>Gearhart-Owens Industries, 1972, GO Log Interpretation Reference Data Handbook: Fort Worth, Gearhart-Owens Industries Inc., 226 p</ref>]]
 +
 
Use the procedure outlined in the table below to estimate formation water density at reservoir conditions using R<sub>w</sub>. The approximate error is ±10% (after <ref name=ch05r4 />).
 
Use the procedure outlined in the table below to estimate formation water density at reservoir conditions using R<sub>w</sub>. The approximate error is ±10% (after <ref name=ch05r4 />).
    
# Gather data: formation temperature (T<sub>f</sub> ), water resistivity (R<sub>w</sub> ), and formation pressure. Estimate pressure by multiplying depth by 0.433 psi/ft or other appropriate gradient. Check for T<sub>f</sub> errors.
 
# Gather data: formation temperature (T<sub>f</sub> ), water resistivity (R<sub>w</sub> ), and formation pressure. Estimate pressure by multiplying depth by 0.433 psi/ft or other appropriate gradient. Check for T<sub>f</sub> errors.
# Estimate sodium chloride (NaCl) concentration from R using Figure 5-5.
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# Estimate sodium chloride (NaCl) concentration from R using [[:file:formation-fluid-pressure-and-its-application_fig5-5.png|Figure 1]].
# Estimate density from wt % NaCl and temperature using Figure 5-6.
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# Estimate density from wt % NaCl and temperature using [[:file:formation-fluid-pressure-and-its-application_fig5-6.png|Figure 2]].
    
==Gather data==
 
==Gather data==
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* Formation water resistivity
 
* Formation water resistivity
   −
{| class = "wikitable"
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# Estimate formation temperature T<sub>f</sub> using the following formula:
|-
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#*:<math>\mbox{T}_{\rm f} = \mbox{T}_{\rm s} + \mbox{D}_{\rm f} \left(\mbox{BHT} - \frac{\mbox{T}_{\rm s}}{\mbox{TD}}\right)</math>
! Step
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#*::where:
! Action
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#*::: T<sub>s</sub> = average surface temperature (°F)
|-
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#*::: D<sub>f</sub> = depth to the formation (ft)
| 1
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#*::: BHT = bottom-hole temperature (found on log header) (°F)
| Estimate formation temperature T<sub>f</sub> using the following formula:
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#*::: TD = total depth (BHT and TD must be from the same log run) (ft)
 
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# Estimate formation pressure (psi) by multiplying 0.433 (freshwater gradient) by formation depth.
:<math>\mbox{T}_{\rm f} = \mbox{T}_{\rm s} + \mbox{D}_{\rm f} \left(\mbox{BHT} - \frac{\mbox{T}_{\rm s}}{\mbox{TD}}\right)</math>
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# Obtain formation water resistivity R<sub>w</sub> [ohm.m] in one of three ways:
 
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#*  From a sample of water from the formation of interest measured for R<sub>w</sub>
where:
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#*  Using a water catalog  
* T<sub>s</sub> = average surface temperature (°F)
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#*  Calculating it from an [[SP log]]
*  D<sub>f</sub> = depth to the formation (ft)
  −
*  BHT = bottom-hole temperature (found on log header) (°F)
  −
*  TD = total depth (BHT and TD must be from the same log run) (ft)
  −
|-
  −
| 2
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| Estimate formation pressure (psi) by multiplying 0.433 (freshwater gradient) by formation depth.
  −
|-
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| 3
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| Obtain formation water resistivity R<sub>w</sub> [ohm.m] in one of three ways:
  −
*  From a sample of water from the formation of interest measured for R<sub>w</sub>
  −
*  Using a water catalog  
  −
*  Calculating it from an [[SP log]]
  −
|}
      
==Determine NaCl concentration from r<sub>w</sub>==
 
==Determine NaCl concentration from r<sub>w</sub>==
  −
[[file:formation-fluid-pressure-and-its-application_fig5-5.png|300px|thumb|{{figure number|1}}Determining NaCl concentration. Copyright: Schlumberger.]]
      
The predominant solute in most formation water is sodium chloride (NaCl). Its concentration determines formation water density and R<sub>w</sub>. When only R<sub>w</sub> is available, we can use NaCl concentration to determine density.
 
The predominant solute in most formation water is sodium chloride (NaCl). Its concentration determines formation water density and R<sub>w</sub>. When only R<sub>w</sub> is available, we can use NaCl concentration to determine density.
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==Estimate density==
 
==Estimate density==
  −
[[file:formation-fluid-pressure-and-its-application_fig5-6.png|300px|thumb|{{figure number|2}}Use to estimate formation water density from ppm NaCl and temperature. Copyright: Gearhart-Owens.<ref name=G-O1972>
  −
Gearhart-Owens Industries, 1972, GO Log Interpretation Reference Data Handbook:
  −
Fort Worth, Gearhart-Owens Industries Inc., 226 p</ref>]]
      
Estimate formation water density from ppm NaCl and temperature using the chart in [[:file:formation-fluid-pressure-and-its-application_fig5-6.png|Figure 2]]. The following table describes the procedure to use with the chart.
 
Estimate formation water density from ppm NaCl and temperature using the chart in [[:file:formation-fluid-pressure-and-its-application_fig5-6.png|Figure 2]]. The following table describes the procedure to use with the chart.

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