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DeploymentBorehole
Log NameCAP
Math Symbol

LaTeX Math Inline
bodyY_f

Measured PropertyFluid electrical capacitance
Sensor TypeCapacitor
Units
SIHz dimensionless
Oil MetricRPM  = 60 Hzdimensionless
Oil Field

RPM  = 60 Hz

dimensionless


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Applications



  • Assesing donwhole flowrateAssessing borehole multiphase flow components


Sample Logs




Tool Schematic



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Mathematical Model




LaTeX Math Block
alignmentleft
ILSY_f = SF_{\rm slopecap} \cdot ( v - v_{th}left( \frac{Y_w s_w + Y_o s_o + Y_g s_g}{\mathring{Y}_w} \right)

where 

LaTeX Math Inline
body

S_{\rm slope} is some constant depending on tool construction and well completion

\{ s_w, \ s_o, \ s_g \}
 – volumetric fractions of water, oil and gas phase (
LaTeX Math Inline
bodys_w + s_o + s_g = 1
)

LaTeX Math Inline
body

v_{th} a critical value of the flow speed which can initiate spinner rotation, 

\{ Y_w , \ Y_o , \ Y_g \}
 – are reference values for capacitance of water, oil and gas at given temperature and pressure,

LaTeX Math Inline
body\mathring{Y}_w
 fresh water capacitance at NTP,

LaTeX Math Inline
body

v – flow velocity.

F_{\rm cap}
 – non-near function specific to each tool.

The typical values are:

LaTeX Math Inline
bodyY_{\rm gas}

7

LaTeX Math Inline
bodyY_{\rm oil}

15 – 30

LaTeX Math Inline
bodyY_{\rm water}

100


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