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Article

Thermo–Economical Evaluation of Producing Liquefied Natural Gas and Natural Gas Liquids from Flare Gases

by
Ehsan Barekat-Rezaei
1,
Mahmood Farzaneh-Gord
2,
Alireza Arjomand
3,
Mohsen Jannatabadi
4,
Mohammad Hossein Ahmadi
1,* and
Wei-Mon Yan
5,6,*
1
Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
2
Faculty of Engineering, Mechanical Engineering Department, Ferdowsi University of Mashhad, Mashhad 9177948974, Iran
3
Faculty of Chemical and Materials Engineering, Shahrood University of Technology, Shahrood 3619995161, Iran
4
Minoodasht Branch, Islamic Azad University, Minoodasht 49816-36497, Iran
5
Department of Energy and Refrigerating Air-Conditioning Engineering, National Taipei University of Technology, Taipei 10608, Taiwan
6
Research Center of Energy Conservation for New Generation of Residential, Commercial, and Industrial Sectors, National Taipei University of Technology, Taipei 10608, Taiwan
*
Authors to whom correspondence should be addressed.
Energies 2018, 11(7), 1868; https://doi.org/10.3390/en11071868
Submission received: 18 June 2018 / Revised: 28 June 2018 / Accepted: 12 July 2018 / Published: 18 July 2018
(This article belongs to the Section A: Sustainable Energy)

Abstract

:
In many industrial plants including petrochemicals and refineries, raw hydrocarbons (mostly flammable gas) are released during unplanned operations. These flammable gases (usually called flare gases) are sent to a combustor and the process is called flaring. Flaring wastes energy and produces environmental pollution. Consequently, recovering the flare gases is an important subject in these industries. In this work, an economical and technical analysis is presented for the production of valuable products, namely, liquefied natural gas and natural gas liquids from flare gas. The flare gas of Fajr Jam refinery, a refinery located in the south part of Iran, is selected as a case study. One of the issues in recovering flare gases is the nonconstant flow rate of these gases. For this reason, an auxiliary natural gas flow rate is employed to have a constant feed for the flare recovery process. The Poly Refrigerant Integrated Cycle Operations (PRICO) refrigeration cycle is employed for producing liquefied natural gas and natural gas liquids. In the PRICO cycle, the mixed refrigerant is used as the working fluid. The other issue is the existence of H2S in the flare gases. The main idea is that the flare gas components, including H2S, have different boiling points and it is possible to separate them. Consequently, flare gases are separated into several parts during a number of successive cooling and heating stages and passing through phase separators. It is shown that the proposed flare gas recovery process prevents burning of 12 million cubic meters of the gases with valuable hydrocarbons, which is almost 70% of the current flare gases. Furthermore, about 11,000 tons of liquefied natural gas and 1230 tons of natural gas liquids are produced in a year. Finally, the economic evaluation shows a payback period of about 1.6 years.

1. Introduction

In recent years, the high emissions of greenhouse gases have caused environmental pollution and increased global concern. Petrochemicals and refineries are the main energy consumers that have a great share of greenhouse gas emissions. In these industries, large amounts of hydrocarbons are burned due to safety issues in the flares. A flare stack is a gas combustion device which is used in industrial plants such as petroleum refineries, chemical plants, and natural gas processing plants for burning unwanted and flammable gases. Studies have reported that in 2016, more than 149 billion cubic meters of gas was burned in flares in the world [1]. It represents a huge waste of energy and financial resources and an increase of about 2 billion cubic meters compared to 2015.
The mentioned explanations have led to research and proceedings to reduce flaring. The solid oxide fuel cell (SOFC) system for reducing flare gases was presented by M. Saidi et al. [2]. Based on the results obtained from this system, in addition to generating 1200 MW electrical energy, the amount of pollutant gas emissions reduced from 1700 kg/s to 68 kg/s. Sonawat et al. [3] showed that flare gas can be recovered using an ejector. The ejectors have been used to increase the pressure of flare gases by high-pressure motive fluids and then reinjecting them into the pipelines. They compared their work with other flare recovery systems and found that the ejector was the simplest and cheapest because of low initial cost, adaptability to changes in operating conditions, low operation and maintenance costs, high rate of return and short payback period (PBP). Studies on design parameters of the flare gas recovery system (FGRS) by Enayati et al. [4] was performed. Their simulations were done in steady state and dynamic conditions in order to compare these two modes. Their simulation results indicated that the recovery of 5916 (nm3/h) of sweet natural gas, 24 (ton/h) of gas condensates and production of 297 (m3/h) of acid gas would be possible. One of the recovery methods proposed by Zadakbar et al. [5] was to compress the flare gases and return them to the fuel gas header for immediate use as fuel gas. A feasibility study of a flare gas recovery system in a real refinery was carried out by Gabriel et al. [6]. Their work focused on the selection and design of the flare gas recovery system, the gas treatment and reuse, the economic feasibility, and finally the payback period of the system. Choosing a liquid ring compressor to recover flare gases showed the payback period was about 2.5 years. The separation of gas and oil phases remained the most important step in the so-called surface production. Mourad et al. [7] performed studies on optimal pressure stages in the separation process in order to reduce flaring. Xu et al. [8] conducted a study to reduce the flaring in the startup of a petrochemical unit. Their results showed that it would be possible to prevent wasting large quantities of volatile organic compounds (VOCs).
Anomohanran et al. [9] studied the environmental impacts from pollutant emissions of burning associated gases in flares. They concluded that flaring wasted 11 billion dollars annually. Abdulrahman et al. [10] examined the key role of the Clean Development Mechanism (CDM) to overcome the difficulties of gas flaring recovery projects in developing countries. CDM is one of the three market-based mechanisms adopted under the Kyoto Protocol.
Some researchers have also modeled several plans to recover flare gases from a unit. After economic analysis, they offer the most cost-effective model. Rahimpour et al. [11] proposed three strategies for recycling associated gases and preventing the release of pollutants to the environment, namely gas-to-liquid (GTL) process, electricity generation with a gas turbine, and compression and injection into the refinery pipelines. Finally, the results of their research showed that generating electricity from these flare gases is more cost-effective than the two others. Banwarth et al. [12] provided detailed explanations into the design of one-stage and two-stage compressors used in flare gas recovery plants. Zolfaghari et al. [13] presented three models for the utilization of flare gases and their optimal use. These three ways included gas to liquid (GTL), gas turbines generation (GTG) and gas to ethylene (GTE). They concluded that the GTG method has the most economic benefits.
Also, some chemical methods have been proposed to reuse the flare gases by now. M. Beal et al. [14] investigated the energy return on investment (EROI) of the synergistic integration of flare gas with a microalgae biorefinery. They proposed a method to utilize flare gas for production of biofuel and protein from alga which indicated a beneficial system environmentally. Moreover, integration and reuse of flared gases with fuel gas network (FGN) is an impressive method for reducing greenhouse gas (GHG) emissions in addition to saving energy in refineries. An FGN model was modified by Tahouni et al. [15] and results indicated a 12% reduction in natural gas consumption compared to the nonintegrated flare gas stream case and a 27.7% reduction compared to the base case with no FGN. One of the drawbacks with the flaring is measuring the conditions of gas flaring. Heidari et al. [16] measured these conditions in a real gas refinery plant and they suggested two feasible structures for electrical power generation from the flare gas as two scenarios. The first scenario is burning the mixture of the flare gas and a conventional fuel, and the second one is sending the flare gas to an intermediate stage of a gas turbine after burning it in a combustor. The results showed that the first scenario is superior from technical and economic aspects.
In the present study, a flare gas recovery process is designed, simulated, and optimized in powerful ASPEN PLUS software (version 8.6, Aspen Technology Inc., Bedford, MD, USA). A thermo–economic analysis has been carried out for recovering valuable products (liquefied natural gas and natural gas liquids) from flare gases. Liquefied natural gas (LNG) is widely accepted as a clean energy alternative to other fossil fuels where natural gas (NG) is not available through pipelines [17]. Natural gas liquids (NGLs) are flammable mixtures consisting of light hydrocarbon products (ethane, propane, isobutane, pentane and some heavier species). NGL has a variety of applications and is mainly used for heating appliances, cooking equipment, vehicles and in the chemical industry [18]. In this study, the flare gases of the Fajr Jam refinery were selected as a case study. The most important issues were a nonconstant flow rate and an excessive H2S in flare gas components. In refiners, removing H2S usually is done by installing amine towers, but using this technology for low feed gas is not economically and technically justifiable. In this work, the amount of H2S in products (LNG and NGL) is reduced to a standard level with the help of a refrigeration cycle and the nonconstant flare gas flow rate issue is addressed with the help of an auxiliary flow to keep the feed flow rate constant. The flare recovery process is designed with three goals: separation of H2S from gas flare, LNG, and NGL production.

2. Process Description

In this work, the data of the flaring system in the Fajr Jam refinery is used to design a flare recovery process. The process is divided into two main parts, namely, LNG and NGL recovery, as well as a refrigeration cycle.

2.1. Refrigeration Cycle and LNG Recovery

The technologies of refrigeration processes for the production of LNG are limited under the license and its owners. The differences between refrigeration cycles are in the type of refrigerant used, pure or mixed, the number of cooling cycles, the type of heat exchangers and the amount of production capacity. Due to the low flow rate of flare gases and also standard engineering design packages for the “Mid-small-mini Scale LNG Plant” (production capacity of 0.1–1.5 million tons per year [19]), the PRICO (Poly Refrigerant Integrated Cycle Operations) cycle could be a good candidate. The other technologies for liquefying natural gas (like cascade, propane pre-cooled mixed refrigerant (C3MR), dual mixed refrigerant (DMR), etc.) need a lot of equipment and this makes them more expensive. After analyzing and considering the flare gas conditions such as flow rate, temperature, pressure, and so on, the PRICO cycle is selected for the cooling process. It is also known as a single mixed refrigerant (SMR) process. This cycle has several advantages such as a low amount of required equipment, a relatively simple process, low capital and operating cost, high flexibility, high reliability, and rapid startup [20].
The flow diagram of the PRICO cycle is illustrated in Figure 1. The working fluid (refrigerant) is assumed as a mixture of methane, ethane, butane, and nitrogen. In this process, the pressure of the mixed refrigerant is increased after passing through the compressor. Then, its temperature is reduced by passing through the condenser as a constant-pressure process. Subsequently, by passing gas from a multistream heat exchanger, approximately constant pressure, its temperature is greatly reduced and then it is passed through a throttle valve to decrease its temperature and pressure. The flow with low pressure and low temperature re-enters the heat exchanger to provide the cooling needed for the liquefaction of natural gas.
Figure 2 shows a schematic representation of the desired PRICO cycle. The difference between this cycle and the previous cycle is the existence of a hot stream in the multistream heat exchanger. Therefore, stream 5 returned again to the heat exchanger in order to cool the three streams 3, 8 and flare. Hence, the flare gas initially is cooled down slightly and then the liquid and gas phases are separated from each other in a separator. This cycle has a four-stream heat exchanger. Generally, a plate fin heat exchanger is constructed to do this duty. By simulating this type of multistream heat exchanger with a software’s built-in model, the software only carries out the overall mass and energy balance. Hence, examining these results for the temperature cross may not result in the correct answer, because the software’s built-in model for a multistream heat exchanger does not check the temperature cross and the feasibility of its result. Therefore, the heat transfer needs of the process are met through an equivalent heat exchanger network [21]. On the other hand, the minimum number of two-stream heat exchangers needed to fulfill the thermal duty of the process is calculated from N–1, where N is the total number of process streams [21,22]. Owing to the fact that there are four process streams, with the three heat exchangers the thermal duty of the process is satisfied. Therefore, the problem of the shortage of software’s built-in model is solved with the replacement of a multistream heat exchanger model with the equivalent network of the three models of the two-stream heat exchanger. So, the mass and energy balances are carried out and at the same time, any temperature cross is avoided. Finally, the refrigeration cycle diagram of the flare recovery process is changed, as shown in Figure 3.
Due to the difference in the boiling points of different gas components, the cooling process could liquefy some of the flare gas components. Figure 4 shows the changes of H2S mole fraction in stream 8 of Figure 2 with the temperature in the cooled flare gas stream (stream 6 in Figure 2). With decreasing the temperature, the gas becomes two-phase and the H2S mole fraction reduces in the vapor phase. In this cycle, at first, flare gas is cooled to 138.5 K. This temperature is selected because of the allowed amount of H2S (<4 ppm) [23] in the gas phase. Higher quantities of H2S (>4 ppm) cause gas poisoning. The gas phase, stream 8 in Figure 2, which includes 96% of methane and an allowable amount of H2S, returns to the heat exchanger for liquefaction. The H2S mole fraction in the NGV stream in Figure 2, which is in the liquid phase, is not in the allowed range. So, it is sent to the next step of the process for NGL recovery and H2S correction.
According to Figure 3, it could be seen that from stream 1 to stream 5, after the throttle valve, the cycle is similar to the previous cycle in Figure 2. After this stream, the flow is divided into two parts. The first one is stream 6 and its task is to cool the refrigerant before entering the throttle valve. The second one is stream 8 that enters the HX3 and HX4, where methane is liquefied and is separated with allowed H2S amounts. Streams 10 and 7 are combined in a mixer to form stream 1 and return to the compressor. The following assumptions were considered for the simulation: The ambient temperature is 298 K, the ambient pressure is 1.013 bar, the pressure drop within the heat exchanger is assumed zero [24], and the isentropic efficiency of the compressor is assumed 80% [20]. The compositions of refrigerant and flare gas are given in Table 1.
The simulation data are given in Table 2.

2.2. NGL Recovery

This section describes the process of separating H2S and NGL from the remaining flare gas, that is, stream NGV in Figure 3. This process is based on the difference in boiling point of various flare gas components which are indicated in Table 3 [25].
In general, NGV 13 in Figure 5 (which corresponds to the stream NGV in Figure 3) is heated in several steps and passes through a separator in every step. So, in the final step, its hydrogen sulfide meets the allowable amount. To better understand this, a schematic of this process is shown in Figure 5. At first, the stream NGV, which is in the liquid phase, is slightly heated and partially vaporized. This makes hydrogen sulfide go to the vapor phase and after passing through the separator, its amount in the liquid phase reduces. This process occurs three times in a successive manner to make the concentration of H2S in the liquid phase 4 ppm. Figure 6 illustrates the hydrogen sulfide mole fraction changes in the liquid phase from stream NGV to stream NGL.
The temperatures of streams 11, S1, S4, and S7 have been determined by software optimization. For this purpose, the total mass flow rate of LNG and NGL streams are selected as an objective function and constraints are the H2S amount in these streams, which should be less than 4 ppm. For energy optimization in this part of the cycle, the inlet flare gas was used to heat the streams NGV, S3 and S6. After designing both parts of the flare recovery process, the heat integration of the entire process is performed.

3. Process Simulation and Optimization

3.1. Simulation Method

With combination of the two parts of the process (Figure 4 and Figure 5), the final flare recovery process is shown in Figure 7. Aspen PLUS software with the Sequential Modular method (SM method) and the Penge–Robinson equation of state are used for simulation of the process. The key factor is the amount of flare that varies during the year. However, the process requires a steady flow rate. Therefore, a constant amount (monthly average flaring per year) was considered and the amount of feed shortage is offset by refined gas from the refinery outlet. So by installing a control system, the flare flow rate fluctuations could be covered. On the other hand, when the associated gas flow rate is too much for the cycle, extra gases will be sent to the flare.
Thermal integration is performed by Aspen Energy Analyzer and then its results are transferred to the ASPEN PLUS software. The composite curves of the heat exchanger network and the temperature approach of the flare recovery process are indicated in Figure 8.

3.2. Optimization Method

The results of the SM method are used as the initial estimations in the Equation-Oriented method (EO method). These basic estimations include: the mole fractions of the refrigerant components, pressure level, refrigerant flow rate, and the pressure after throttle valve. Finally, the EO method is used in the process optimization. The problem of achieving optimal operation can be formulated as:
{ min u W s subject   to :   f ( x ) = 0 ,
where Ws is the work of the compressor, which is the objective function of the optimization problem, and u is the vector of adjustable input variables. This is a six-element vector and includes the pressure increase imposed by the compressor, mole fraction of methane, ethane, n-butane, nitrogen in refrigerant, and the flow rate of refrigerant. The function f(x) represents the plant model.
To solve this optimization problem, the large-scale sparse successive quadratic programming (LSSQP) algorithm is used. This algorithm is a variant of a class of successive quadratic programming (SQP) to solve large-scale optimization problems. It performs the optimization by solving a sequence of quadratic programming subproblems. The main parameter of this method is as the Table 4:

3.3. Simulation and Optimization Results

The objective function of the optimization problem is the compressor’s work reduction. An important point which should be considered is to determine the temperature of the inlet and outlet of heat exchangers to prevent the temperature cross. By optimizing the refrigerant’s composition, the total work of the compressor is also reduced, because the flow rate and the pressure level of the process are reduced with changing refrigerant mole fraction. The optimization results are listed in Table 5.

4. Economical Evaluation

In this section, the capital costs of the flare recovery system are determined and then an economical evaluation is conducted. Various methods can be used to estimate investment costs. Selection of each method depends on the available information and accuracy. In this research, the percentage of equipment prices method is used [26]. This method is used to estimate the total investment cost and it needs the price of equipment in the process. Other items in the total direct cost of the plant are also estimated with the use of a percentage of this cost. So, at first, the cost of the process equipment is calculated, then other costs are obtained. To calculate the price of equipment, except compressor, Equation (2) is used [27]:
l o g 10 C P 0 = K 1 + K 2 l o g 10 ( A ) + K 3 [ l o g 10 ( A ) ] 2 ,
where C P 0 is the equipment price, A the capacity or measurable parameter for equipping, and K 1 , K 2 and K 3 are constants [28].
Because of the capacity of the compressor, Equation (2) is not suitable. So Equation (3) is used to calculate the compressor price [29].
P E C a c = [ C 11 m a C 12 η s c ] × ( P 2 P 1 ) l n ( P 2 P 1 ) ,
where P 1 and P 2 are the inlet and outlet pressure of the compressor, respectively, m ˙ a is the flow rate (kg/s), η s c is the compressor’s isentropic efficiency, and P E C a c is the cost of the compressor. The calculated prices are shown in Table 6.
The assumptions used in the economic evaluation model, in order to estimate the time of return on investment, are shown in Table 7. The required investment to build each unit includes direct and indirect investment costs.
The relative factors for estimating direct and indirect investment costs based on the equipment price of the processing units are shown in Table 8. Variable costs are those which vary directly with the output of a particular plant or production process, such as fuel costs [30]. Table 9 shows the annual income and the cost of fuel before starting the plant. Based on the fixed and variable costs, analysis is done. To calculate payback period, the net present value (NPV) method is used.
The NPV method calculates and summates the present value of all the annual cash flows that have been achieved or consumed over the life of the project. Costs are considered to be in the form of negative values and incomes as positive values. The sum of all the present values is known as the NPV. The discount factor is based on an assumed discount rate, that is, interest rate, and can be determined by using Equation (4).
D F = ( 1 + I R 100 ) n ,
where D F is discount factor, I R is the interest rate, and n is the time period.
The NPV is calculated for the three discount rates of 12%, 14%, and 16%. From Figure 9, the payback period can be calculated. If a line from the zero point from the vertical axis and parallel with the horizontal axis is plotted, it will cross the curves at a point where it shows the time of returning the capital cost. This zero line is shown in Figure 9. This value is 1.6 years for almost all discount rates.
By utilizing the proposed flare recovery process, about 12 million cubic meters of flare gas are estimated to be saved yearly. In addition, with the proposed flare gas recovery process, annual production of more than 11 thousand tons of LNG and annual production of over 1230 tons of NGL are possible.

5. PRICO Cycle Validation

Unfortunately, the results of the optimal conditions cannot be directly compared with other papers that use the PRICO process. Small variations in conditions such as scale, flow rates of NG and MR, NG composition and efficiency of heat exchangers have large impacts on process results. However, the optimal conditions can be compared to show that the results are in accordance with those found in the literature. It is clear from Table 10 that the results of the proposed flare recovery process are reasonable in comparison with the data available in the literature. Similarities are also found between the composition, particularly with a comparison of the optimal results achieved in this paper with optimal results found in the literature.

6. Alternative Process: Power Generation

The other alternative method for energy recovery of flare gases is the electricity generation process. The flare gas is burned in the boiler with 20% excess air to produce high-pressure (HP) steam at 25 bar. By letting down the HP steam through a turbine, electric power could be generated. The flowsheet of the process is as shown in Figure 10.
The combustion process in the boiler is modeled with the RGibbs reactor in the Aspen PLUS software. The RGibbs model uses the Gibbs free energy minimization technique to determine the composition of each phase. The mechanical efficiency of the steam turbine is considered to be 70 percent [26]. The fixed capital investment of the power generation process is as shown in Table 11.
The value of generating electricity is 854,025 dollars/year and the payback period is calculated to be 3.06 years. So, the payback period of the power generation process is nearly twice the value of the payback period of the proposed method in this study. The advantage of the proposed process in this study will be more highlighted if the thermal efficiency of the boiler, operating cost of the power generation process, or nonmanufacturing fixed capital investments costs like engineering and supervision of the power generation process are included.

7. Conclusions

Attention to the environment and the value of preserving primary resources are the two factors which make it necessary to minimize flaring in accordance with practical considerations and constraints. Therefore, according to the environmental pollution and considering the added value that is completely eliminated, it is very logical to check the establishment of a unit for the recycling of flare gases and the production of valuable products from them. In this research, we tried to design a flare gas recovery system with consideration of the refinery’s normal conditions. In this process, a cooling cycle was used to reduce the H2S level of flare gases and also separate LNG and NGL from it. Therefore, by selecting the Fajr Jam refinery flare gases as a case study, the process of producing gas condensate was designed. The PRICO cycle was used for the cooling process. Due to the design conditions, this refrigeration cycle undergoes some changes to improve the process. The results of simulation and economic analysis include:
  • Avoiding the loss of about 12 million cubic meters of gas per year.
  • Annual production of more than 11 thousand tons of LNG.
  • Annual production of over 1230 tons of NGL.
  • Payback period is about 1.6 years by using the net present value method.
Consequently, by applying the presented flare gas recovery process, both environmental and economic advantages could be achieved.

Author Contributions

The work is conducted and wrote by E.B.-R. and M.J. under supervision of M.F.-G., A.A., M.H.A. and W.-M.Y.

Funding

The authors appreciates the financial support from Ministry of Science and Technology, Taiwan, under grant number MOST 103-2221-E-027-117.

Conflicts of Interest

The authors declare no conflict of interest.

Nomenclature

LNGLiquefied natural gas
SOFCSolid oxide fuel cell
VOCsVolatile organic compounds
GTLGas to liquid
GTEGas to ethylene
FGNFuel gas network
SMRSingle mixed refrigerant
MRMixed refrigerant
DMRDual mixed refrigerant
IRInterest rate
LSSQPLarge-scale sparse successive quadratic programming
NGLNatural gas liquids
FGRSFlare gas recovery system
CDMClean development mechanism
GTGGas turbines generation
EROIEnergy return on investment
GHGGreenhouse gas
HXHeat exchanger
C3MRPropane pre-cooled mixed refrigerant
DFDiscount factor
NPVNet present value
SQPSuccessive quadratic programming

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Figure 1. Poly Refrigerant Integrated Cycle Operations (PRICO) cycle (Liquefied natural gas (LNG)).
Figure 1. Poly Refrigerant Integrated Cycle Operations (PRICO) cycle (Liquefied natural gas (LNG)).
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Figure 2. Proposed refrigeration cycle.
Figure 2. Proposed refrigeration cycle.
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Figure 3. Refrigeration cycle flow diagram of the flare recovery process.
Figure 3. Refrigeration cycle flow diagram of the flare recovery process.
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Figure 4. Variation of H2S mole fraction in stream 8 with the temperature of stream 6 in Figure 2.
Figure 4. Variation of H2S mole fraction in stream 8 with the temperature of stream 6 in Figure 2.
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Figure 5. Process of separating H2S and natural gas liquid (NGL) from the remaining flare gas.
Figure 5. Process of separating H2S and natural gas liquid (NGL) from the remaining flare gas.
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Figure 6. H2S decreases in liquid phase from stream NGV to stream NGL.
Figure 6. H2S decreases in liquid phase from stream NGV to stream NGL.
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Figure 7. Flare recovery process with the production of LNG and NGL.
Figure 7. Flare recovery process with the production of LNG and NGL.
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Figure 8. The composite curve of the flare recovery process.
Figure 8. The composite curve of the flare recovery process.
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Figure 9. Trend of the sum of the cash flow of the flare recovery system and its payback period (PBP).
Figure 9. Trend of the sum of the cash flow of the flare recovery system and its payback period (PBP).
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Figure 10. Representation of power generation flowsheet.
Figure 10. Representation of power generation flowsheet.
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Table 1. Compositions of flare gas, natural gas, and refrigerant.
Table 1. Compositions of flare gas, natural gas, and refrigerant.
Composition (mol %)Flare GasNatural GasRefrigerant
N22.330.220.2
CO20.007600
H2S0.003700
C176.8895.330.26
C211.412.360.28
C34.661.140
I-C40.970.460
N-C41.380.470.26
I-C50.610.010
N-C50.430.010
C60.3700
C7+0.1900
Table 2. Specifications of cycle in Figure 3.
Table 2. Specifications of cycle in Figure 3.
StreamT (K)P (bar)m (kg/h)
1288155,000
24424855,000
33134855,000
41034855,000
596.5155,000
696.5144,000
7304144,000
896.5111,000
9114111,000
10147111,000
11138.512100
12138.511285.27
13138.51813/29
Air12981131,000
Air2394.721131,000
Flare29812100
LNG10311285.27
Table 3. Boiling points of flare gas components.
Table 3. Boiling points of flare gas components.
ComponentT (K)
C1109
C2184
C3231
C4272.5
C5309
C6342
C7371
N277.2
H2S213
CO2194.5
Table 4. Parameters of the optimization method (successive quadratic programming (SQP)).
Table 4. Parameters of the optimization method (successive quadratic programming (SQP)).
ParameterDescriptionValue
Relative convergence toleranceIt is used in the Kuhn–Tucker error criterion0.0001
Maximum iterationsThe maximum number of (SQP) iterations allowed.50
Iteration-constraint violationThe maximum number of feasibility corrections allowed at each SQP iteration to try to keep constraint violations below the iterative constraint violation tolerance.2
Iteration-constraint violation toleranceThe limit above which feasibility correction will be applied after every iteration.0.01
Final-constraint violation toleranceThe limit above which feasibility correction will be applied at the end of the optimization calculation.1 × 10−6
Table 5. Results of optimization.
Table 5. Results of optimization.
VariableBefore OptimizationAfter Optimization
Flow rate (kg/h)55,00036,100
Pressure level (bar)1–481.19–38
Compressor work (kW)65003300
Table 6. Cost estimation of flare recovery equipment.
Table 6. Cost estimation of flare recovery equipment.
ComponentCompressorHeat ExchangersSeparatorsTotal
Cost (Dollars)812,447618,97658,4001,489,823
Table 7. Assumptions considered in the economic analysis [30].
Table 7. Assumptions considered in the economic analysis [30].
RowContentAmount
1Tax rate (%)0
2Interest charge12
3Price per cubic meter of natural gas (dollars)0.065
4Price increase per cubic meter of natural gas (%)8
5The price of LNG (dollars/kJ)0.85 × 10−5
6The price of NGL (dollars/kJ)0.67 × 10−5
7LNG increase rate (%)3
8NGL increase rate (%)3
9Cost of electricity (dollars/kWh)0.017
10Increase in kilowatt hours of electricity (%)8
11Annual unit operation (hours)7992
12Lifetime of the system (year)20
Table 8. Fixed capital investment costs [26].
Table 8. Fixed capital investment costs [26].
ComponentsAssumed % of TotalCost
(Dollars)
Rationed % of Total
Purchased equipment301,489,823.027.52
Purchased equipment installation10496,607.79.17
Instrumentation and controls (installed)6297,964.65.50
Piping (installed)12595,929.211.0
Electrical (installed)3148,982.32.75
Buildings (including services)8397,286.17.33
Yard improvement299,321.51.83
Service facilities (installed)8397,286.17.33
Engineering and supervision10496,607.79.17
Construction expense9446,946.98.25
Contractor’s fee3148,982.32.75
Contingency8397,286.17.33
Total-5,413,024.0100
Table 9. Costs and incomes.
Table 9. Costs and incomes.
ComponentElectricityLaborMaintanenceNGLNGNGL
Annual requirement for the operation of the process26,373,600 (kWh/annum)731 (workers·shift/year)-5,500,000 (SCM/year)--
Annual operating cost (dollars/year)450,280146,200104,287355,487--
Production per year (kg/year)----11,274,4011,569,026
Income (dollars/year)----4,506,726504,566
Table 10. Comparison of optimal refrigerant compositions.
Table 10. Comparison of optimal refrigerant compositions.
PaperHatcher et al. [31]Jensen and Skogestad [32]Nogal et al. [28]Lee et al. [33]Aspelund et al. [34]This Study
Composition—nitrogen, mol %7.38.210.11110.515.5
Composition—methane, mol %36.131.927.127.326.928.8
Composition—ethane, mol %48.835.237.235.637.625.7
Composition—propane, mol %000.35.22.30
Composition—n-butane, mol %7.724.725.320.922.728.9
Table 11. Fixed capital investment costs [27].
Table 11. Fixed capital investment costs [27].
ComponentCost
(Dollars)
Pump7600
Turbine267,150
Boiler2,340,000
Total2,614,750

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Barekat-Rezaei, E.; Farzaneh-Gord, M.; Arjomand, A.; Jannatabadi, M.; Ahmadi, M.H.; Yan, W.-M. Thermo–Economical Evaluation of Producing Liquefied Natural Gas and Natural Gas Liquids from Flare Gases. Energies 2018, 11, 1868. https://doi.org/10.3390/en11071868

AMA Style

Barekat-Rezaei E, Farzaneh-Gord M, Arjomand A, Jannatabadi M, Ahmadi MH, Yan W-M. Thermo–Economical Evaluation of Producing Liquefied Natural Gas and Natural Gas Liquids from Flare Gases. Energies. 2018; 11(7):1868. https://doi.org/10.3390/en11071868

Chicago/Turabian Style

Barekat-Rezaei, Ehsan, Mahmood Farzaneh-Gord, Alireza Arjomand, Mohsen Jannatabadi, Mohammad Hossein Ahmadi, and Wei-Mon Yan. 2018. "Thermo–Economical Evaluation of Producing Liquefied Natural Gas and Natural Gas Liquids from Flare Gases" Energies 11, no. 7: 1868. https://doi.org/10.3390/en11071868

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