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  | part    = Critical elements of the petroleum system
 
  | part    = Critical elements of the petroleum system
 
  | chapter = Formation fluid pressure and its application
 
  | chapter = Formation fluid pressure and its application
  | frompg  = 5-1
+
  | frompg  = 5-16
  | topg    = 5-64
+
  | topg    = 5-18
 
  | author  = Edward A. Beaumont, Forrest Fiedler
 
  | author  = Edward A. Beaumont, Forrest Fiedler
 
  | link    = http://archives.datapages.com/data/specpubs/beaumont/ch05/ch05.htm
 
  | link    = http://archives.datapages.com/data/specpubs/beaumont/ch05/ch05.htm
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* Total dissolved solids (TDS)
 
* Total dissolved solids (TDS)
   −
It is the mass of the formation water per unit volume of the formation water and is given in metric units (g/cm<sup>3</sup>). For reservoir engineering calculations, it is considered equivalent to specific gravity.
+
It is the mass of the formation water per unit volume of the formation water and is given in metric units (g/cm<sup>3</sup>). For reservoir engineering calculations, it is considered equivalent to specific [[gravity]].
    
==Estimating density from TDS==
 
==Estimating density from TDS==
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==Procedure: estimating density from r<sub>w</sub>==
 
==Procedure: estimating density 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.]]
 +
 +
[[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 />).
   −
{| class = "wikitable"
+
# 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 [[:file:formation-fluid-pressure-and-its-application_fig5-5.png|Figure 1]].
! Step
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# Estimate density from wt % NaCl and temperature using [[:file:formation-fluid-pressure-and-its-application_fig5-6.png|Figure 2]].
! Action
  −
|-
  −
| 1
  −
| 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.
  −
|-
  −
| 2
  −
| Estimate sodium chloride (NaCl) concentration from R using Figure 5-5.
  −
|-
  −
| 3
  −
| Estimate density from wt % NaCl and temperature using Figure 5-6.
  −
|}
      
==Gather data==
 
==Gather data==
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* Formation water resistivity
 
* Formation water resistivity
   −
{| class = "wikitable"
+
# 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)
 
+
# 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>
+
# 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
  −
| Estimate formation pressure (psi) by multiplying 0.433 (freshwater gradient) by formation depth.
  −
|-
  −
| 3
  −
| 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|thumb|{{figure number|1}}. 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==
Estimate formation water density from ppm NaCl and temperature using the chart below. The following table describes the procedure to use with the chart.
     −
{| class = "wikitable"
+
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.
|-
  −
! Step
  −
! Action
  −
|-
  −
| 1
  −
| Enter the chart along the X-axis using formation temperature.
  −
|-
  −
| 2
  −
| Proceed vertically to the appropriate salt concentration expected in the zone.
  −
|-
  −
| 3
  −
| Proceed horizontally to read the liquid density at atmospheric pressure.
  −
|-
  −
| 4
  −
| Using the “Effects of Pressure” segment of the chart, add a density increment to the above-computed density to correct for pressure effects.
  −
|}
     −
[[file:formation-fluid-pressure-and-its-application_fig5-6.png|thumb|{{figure number|5-6}}. Copyright: Gearhart-Owens (1972).]]
+
# Enter the chart along the X-axis using formation temperature.
 +
# Proceed vertically to the appropriate salt concentration expected in the zone.
 +
# Proceed horizontally to read the liquid density at atmospheric pressure.
 +
# Using the “Effects of Pressure” segment of the chart, add a density increment to the above-computed density to correct for pressure effects.
    
==See also==
 
==See also==
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[[Category:Critical elements of the petroleum system]]  
 
[[Category:Critical elements of the petroleum system]]  
 
[[Category:Formation fluid pressure and its application]]
 
[[Category:Formation fluid pressure and its application]]
 +
[[Category:Treatise Handbook 3]]

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