1 Copyright © 2010 by ASME
Proceedings of the 14
th
International Heat Transfer Conference
IHTC-14
August 8-13, 2010, Washington D.C., USA
DRAFT IHTC14-22462
TEMPERATURE FIELD PREDICTION OF A MULTILAYERED COMPOSITE PIPELINE
BASED ON THE PARTICLE FILTER METHOD
Flavio L. V. Vianna
Department of Subsea Technology
Petrobras Research and Development Center
Rio de Janeiro, RJ, Brazil
Helcio R. B. Orlande
Department of Mechanical Engineering
COPPE, Federal University of Rio de Janeiro
Rio de Janeiro, RJ, Brazil
George S. Dulikravich
Department of Mechanical and Materials Engineering
Florida International University
Miami, Florida, USA
ABSTRACT
Thermal management of subsea oil production systems in
deep water environments is one of the main issues for
petroleum exploitation operations. Thermal monitoring is
crucial to avoid and control the formation of solid deposits,
which in adverse operating conditions can result in blockages
inside the production systems and consequently incur large
financial losses. This paper aims to demonstrate the robustness
of a Bayesian approach for accurate estimation of the produced
fluid temperature field in a typical multilayered composite
pipeline. The physical problem consists of a pipeline
represented by a circular domain filled by a stagnant fluid
(petroleum) with temperature dependent thermal properties,
which is bounded by a multilayered composite pipe wall. The
mathematical model governing the heat conduction problem in
the multilayered wall and in the stagnant fluid was solved with
the finite volume method. The Particle Filter method was used
for the solution of the inverse transient problem involving the
prediction of the temperature field in the medium, from limited
temperature data available at one single location in the pipeline
composite wall. The aim of this method is to represent the
required posterior density function by a set of random samples
with associated weights, and to compute the estimates based on
these samples and weights. Results are presented in this paper
by taking into account uncertainties in the state evolution and
measurement models. Simulated temperature data is used in the
inverse analysis for typical conditions observed during
production shutdown periods.
INTRODUCTION
Flow assurance in the petroleum industry is one of the
challenges of the development of subsea field layouts due to a
combination of factors, involving, among others, the dynamic
nature of the produced fluids, high internal hydrostatic
pressures and low external environmental temperatures [1]. In
general cases, these subsea systems are designed to transport
the produced fluids through the different equipments without
experiencing significant heat losses to the environment [2].
Thermal management of these equipments and pipeline systems
are of great importance for the prediction and prevention of
solid deposits [3]. The most common deposits are waxes and
hydrates (depicted in figure 1), which precipitate at certain
critical combinations of pressure and temperature [4].
Typical thermal analyses make use of direct problem
solutions to compute the temperature profile along the pipeline
and represent one of the most important steps in the subsea
layout design. Thermal analyses include both steady-state and
transient studies for the different stages of the field’s lifetime.
The thermal design determines the best configuration to
maintain the produced fluid temperature above a minimum
value, thus avoiding the formation of wax or hydrates.
In steady state operations the petroleum temperature
decreases as it flows along the pipeline, due to heat transfer
through its walls. This steady state temperature profile is used
to identify the flow rates and the insulation systems that are
needed to keep the subsea system above the critical temperature
during the production [5-6]. For cases with long tie-backs,
pipelines with efficient thermal insulations are required, such as
the so-called pipe-in-pipe systems [7,8].