TOPIC 3: Wax Deposition
15
©H
ERIOT
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ATT
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NIVERSITY B41OA December 2018 v3
Lira-Galeana (1996)
presented a wax model as follows:
•
A multi-pure-solid approach was used for the description of wax solids.
•
This approach assumed wax solids consisting of multiple solid phases
and that each solid phase was a pure compound.
•
The PR EoS was used for calculating fugacity in the liquid and vapour
phases.
•
The model was validated North Sea crude oils using experimental SLE
data for binaries and measured cloud point temperatures.
Studies on crystal structures in recent years reveal that the miscibility of n-
paraffins in a solid state depends strongly on the
difference in the molecular
sizes (i.e., carbon number differences).
A mixture of n-paraffins with a significant carbon number difference (e.g., nC
30
- nC
36
) appears to form eutectic solids (solid with exactly the same
composition as the liquid it is derived from (this is similar to the behaviour of a
liquid-vapour azeotrope).
On
the other hand, mixtures of n-paraffins with consecutive carbon number
distribution form a single orthorhombic solid solution. Thus, the assumption of
multi-pure-solid approach is not consistent with
the results of wax crystal
structure studies.
It follows that the model proposed by Lira-Galeana et al. is open to serious
questions when used to predict the wax
phase boundary for systems
consisting of compounds with similar molecular size.
Coutinho et al
(1995, 1996)
evaluated several approaches such as Flory-
Huggins, universal functional group activity coefficient (UNIFAC),
Flory free-
volume, Entropic free-volume, for the calculation of activity coefficients in SLE.
In 1998, Coutinho presented a wax thermodynamic model as follows:
•
They applied a combined UNIFAC, Flory
free-volume approach to
describe the liquid phase.
•
While, at the same time, using the
Universal Quasi-Chemical
(UNIQUAC) equation to describe wax solids.
Pauly et al. (2001) presented a wax model as follows:
•
They modified the model proposed by Coutinho (1998) by using SRK
EoS and Gibbs energy to describe the liquid and vapour phases.
•
The Gibbs energy was obtained using a modified UNIFAC equation.
•
The Poynting correction term (corrects
the fugacity of a liquid, at the
saturation point, to the actual prevailing conditions) was used for
extending the model to high-pressure conditions.
•
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