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\mu_w(T, p) = 0.001 \cdot \mu_{w0}(T, p) \cdot \mu_r(T, m)
LaTeX Math Block
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\ln \mu_{w0}(T, p) = \sum_{n = 1}^5 \, d_n \cdot T^{n-3} + \rho_w(T, p) \cdot \sum_{n = 6}^{10} \, d_n \, T^{n-8}
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\ln \mu_r(T, m) = A \cdot m + B \cdot m^2 + C \cdot m^3
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 A = a_0 + a_1 \, T + a_2 \, T^2



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 B = b_0 + b_1 \, T + b_2 \, T^2
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 C = c_0 + c_1 \, T 
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 m = \frac{1,000 \cdot S}{M_{\mbox{NaCl}} \cdot (1-S)}


where

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body\mu_w(T, p)
 

,

 

cp

at temperature

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bodyT
and pressure
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bodyp

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body\mu_r(T, m)

Correction factor for salinity

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bodym
 (in g-mol/kg), frac

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body\rho_w(T, p)


Pure (Salinity = 0) water density  at temperature

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bodyT
and pressure
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bodyp

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bodyT
 

Temperature,

°K 

Temperature

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bodyp
 

Pressure
, Pa

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bodyS

Water salinity,
Water salinity

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bodym

Salinity in salt concentration units,
Salinity in salt concentration units

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body--uriencoded--M_%7B\small \mbox%7BNaCl%7D%7D

Molecular weight of NaCl =

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body--uriencoded-- 58.4428 · 10%5e%7B-3%7D
kg/mol

and

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body--uriencoded--0.28853179 · 10%5e7

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bodya_0

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body-0.21319213

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bodyd_2

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body--uriencoded---0.11072577 · 10%5e5

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bodya_1

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body--uriencoded--0.13651589 · 10%5e%7B-2%7D

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bodyd_3

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body--uriencoded---0.90834095 · 10%5e1

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bodya_2

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body--uriencoded---0.12191756 · 10%5e%7B-5%7D

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bodyd_4

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body--uriencoded--0.30925651 · 10%5e%7B-1%7D



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bodyd_5

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body--uriencoded---0.27407100 · 10%5e%7B-4%7D

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bodyb_0

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body--uriencoded--0.69161945 · 10%5e%7B-1%7D

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bodyd_6

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body--uriencoded---0.19283851 · 10%5e7

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bodyb_1

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body--uriencoded---0.27292263 · 10%5e%7B-3%7D

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bodyd_7

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body--uriencoded--0.56216046 · 10%5e4

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bodyb_2

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body--uriencoded--0.20852448 · 10%5e%7B-6%7D

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bodyd_8

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body--uriencoded--0.13827250 · 10%5e2



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bodyd_9

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body--uriencoded--0.47609523 · 10%5e%7B-1%7D

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bodyc_0

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body--uriencoded---0.25988855 · 10%5e%7B-2%7D

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body--uriencoded--d_%7B10%7D

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body--uriencoded--0.35545041 · 10%5e%7B-4%7D

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bodyc_1

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body--uriencoded--0.77989227 · 10%5e%7B-5%7D

...