A slotted orifice has many superiorities over a standard orifice. For single-phase flow measurement, its flow coefficient is insensitive to the upstream velocity profile. For two phase flow measurement, various characteristics of its differential pressure (DP) are stable and closely correlated with the mass flow rate of gas and liquid. The complex relationships between the signal features and the two-phase flow rate are established through the use of a back propagation (BP) neural network. Experiments were carried out in the horizontal tubes with 50mm inner diameter, operated with water flow rate in the range of 0.2m3.h-1 to 4m3.h-1, gas flow rate in the range of 100m3.h-1 to 1000m3.h-1, and pressure at 400kPa and 850kPa respectively, where the temperature is ambient temperature. This article includes the principle of wet gas meter development, the experimental matrix, the signal processing techniques and the achieved results. On the basis of the results it is suggested that the slotted orifice couple with a trained neural network may provide a simple but efficient solution to the wet gas meter development.
Wet gas is the terminology for a well stream
where the gas volume fraction (GVF) is greater than
90% and mostly above 95%, but less than loo%, at
the metering condition. These streams always appear
as gas-liquid two-phase fl ow with low liquid fractions.
Both standard multiphase meters and dry gas flow
meters cannot operate satisfactorily on wet gas[ 1,2].
Currently, some well-known companies have
developed their wet gas meters (WGM), such as Agar,
Solartron, PECO, TEA, FRAMO, and so on. At 90%
confidence level, the measurement uncertainties of
these products for gas and liquid flow rates are
within*10%, but when the flow conditions are
changed, the uncertainties would be far beyond this
limit. Until now no meter has yet proven itself to be
capable of metering wet gas flow to the accuracy desired
by industry. The development and improvement
of WGM is therefore a key requirement to the natural
gas industry[2].
The slotted orifice was put forward and studied
as a single phase flow sensor by Momson[3], and its
flow coefficient is insensitive to the upstream velocity
profile. Some throttling devices such as Venturi tubes,
nozzle, and V-cone also have this quality, but compared
with the slotted orifice, they are more complex
and expensive. Hence the slotted orifice is chosen for
the WGM's flow sensor, and based on the multiple
measurement principle the slotted orifice couple is
selected as the methodology to determine GVF of wet
gas flow.
The simulations of the slotted orifice dynamics
and the metering characteristics for single-phase flow
have been discussed in Ref.[3], and the metering
characteristics for aidwater two phase flow discussed
in Refs.[4-61. This article mainly focuses on theprinciple of WGM development, metering algorithm
development, and some results.
The authors believe that all previous effort in ths
field was limited by the characteristics of the flow
sensors and the conventional signal process means. In
a conventional signal processing, the amplitude variation
of different flow sensors was detected and simply
treated. As the measured signal often depends on the
inhomogeneous distribution of gas and liquid in the
pipe line and the interactions between them, which
often vary unpredictably, the measured signals show
many random features. The varying parts or AC parts
of measured signals were not utilized efficiently and
even filtered out as noise. This phenomenon partly
accounts for the limited success achieved by the conventional
methods in dealing with two-phase flow
measurement. The authors think that by applying an
entirely new approach to this long standing industrial
problem, such as soft-sensing based signal processing
techniques, might be a better way forward. To this
goal, various features of the measured signal have
been elaborately extracted; the relationships between
these features and the gas and liquid flow rate were
established through the use of a BP network. The
trained BP network is applied as the metering algorithm
for WGM.
A three-layer BP network can be used to represent
any nonlinear functions. In this article the BP
network consists of the log-sigmoid neurons in the
hidden layer, two linear neurons in the output layer,
and nine input neurons. The Levenberg-Marquardt
learning method is selected. During the training of the
neural network, it was found that seven neurons in the
hidden layer were adequate.
To record the dynamic properties of two-phase
flow and analyze the sampled data offline, both the DP
transducer and pressure transducer are piezoelectric
ones; the frequency response is over IkHz. During the
time period for each step of gas and liquid flow rate,
four signal sequences are recorded. The sample length
and sampling rate are eight minutes and lkHz, respectively.
By comparing the Fast Fourier Transform results
of sampled data, it is found that more than 98%
energy of the four signals is below 50Hz. Beyond this
frequency, the reconstruction results of measured signals
through wavelet transform get weaker and weaker,
and the calculated auto correlation coefficient dies out
quickly as the frequency increases. The chosen of
42Hz as the upper limit of FIR is based on this fact
and also the consideration of eliminating the influence
of the main frequency, which is 50Hz in China.
Dividing the experiment data randomly into twogroups, the first group, the training group, consists of
80% of the measured signals, and the second group,
the test group, consists of the remaining 20%. Once
properly trained, the neural network is evaluated using
the test group data. Fig.5 shows a typical test result of
Qg. X-axis is the real Qg and y-axis is the predictedvalue from the trained BP network. It shows that the
outputs of the neural network follow the variations of
the expected gas mass flow rate. With an error
withink 10% indicated by the two lines shown on the
same figure. The calculation in this study shows that
at 90% confidence level the relative error is
within+6% for Qg and &9% for QL. The accuracy of
neural network prediction can meet the industry demands
for production based metering.
In short, based on the multiple measurement
principle, a new WGM has been designed. It mainly
consists of a slotted orifice couple, and a PC-based
data acquisition and processing system. On the basis
of the neural network techniques, a novel approach to
wet gas flow metering has been studied. The inputs of
neural network came from the four measured signals
subsequently processed by FIR filter, feature extraction,
and PCA. The signal processing results suggest
that this approach may provide a cost effective solution
to WGM development.
There are still some aspects which deserve further
investigations, such as how to measure the efficiency
of different features, how to expand the gas and
liquid measuring range, and so on. A new architecture
of wet gas metering algorithm is under development,
which consists of two layers of neural networks. The
first layer is used to identify the flow regime of wet
gas, and the second layer is used to measure flow rate
according to different results of the first layer. This
new idea is more like the thought of subparagraph
linear, whch may lead to more practical results and
success.