Introduction

Today, there is a wider energy mix that allow us to meet the energy demand however fossil fuels are the leading source of energy. Statistics show that natural gas currently provides approximately a quarter of the world’s energy and its share is increasing significantly1. The rapid increase in the worldwide demand of natural gas has resulted in a significant growth of international gas trade and stimulated long-term contracts for its sales. Hence, it becomes important to extend the lifetime of these reservoirs and meet the desired production rates.

Generally, natural gas resources are mainly distributed in dry gas and condensate gas reservoirs. As an essential part of Sinopec (China Petroleum & Chemical Corporation) in China’s hydrocarbon resources, the recovery of condensate gas is still low (Table 1). Currently, most of the condensate gas resources that have been discovered in China are distributed in Xinjiang province and offshore, of which saturated condensate content are middle-low2. The typical development method is under primary depletion. However, the recovery of condensate gas is only around 40% and some reservoirs have entered middle/late development periods. It is necessary to explore new techniques to improve condensate gas recovery.

Table 1 The statistics of recovery of different condensate gas fields2,31,32,33,34,35,36,37,38,39,40,41,42,43,44.

The low recovery is due to complex physical and chemical phase transitions in condensate gas reservoirs. Different from dry gas reservoir, a liquid hydrocarbon phase called condensate is formed when the reservoir pressure around production wells drops below the dew point pressure in gas condensate formations. The liquid accumulates and occupies the pore space that otherwise would be available for gas flow, impeding the gas flow.

Supercritical carbon dioxide (SC-CO2) injection into gas reservoirs is considered to be a promising technology that will bring long-term mutual benefits for coupled increased productivity and CO2 geosequestration3,4,5,6,7,8,9,10,11,12. CO2 Enhanced Gas Recovery (EGR) has been studied in laboratory settings and in field-scale simulations for both tight and conventional gas reservoirs, but application in the field remains limited to a handful of cases13,14,15,16.

Excessive mixing is a key risk associated with CO2 EGR as it would result in undesirable contamination of the natural gas asset and/or early breakthrough of the injected CO2 at the production wells. This risk of excessive mixing of CO2 and natural gas within the reservoir has limited the practice of EGR. At present, rare literature reported the mix phenomena between CO2 and natural gas under reservoir conditions and clearly revealed under what kind of conditions natural gas is not easy to be mixed by CO2. Therefore, finding suitable gas injection conditions is the key to the promotion of EGR in suitable gas fields.

Although, CO2 flooding has been discussed in dry gas reservoirs, still, it has complex challenges in condensate reservoirs. One challenge is how to enhance condensate recovery; Another challenge is how to enhance condensate gas recovery. Previous research related to enhancing recovery of condensate gas field by injecting CO2 has until now focused on boosting condensate recovery. For this reason, the studied fluid of most reservoirs has been high-condensate content. Plenty of studies have been conducted to discuss the physical and chemical processes when CO2 contact with condensate liquid. These experimental data revealed the possibility of improving condensate by CO2 flooding and can be utilized to validate the numerical studies in modeling tools. For example, JJ Chaback et al.17, Ahmed et al.18, E. Shtepani19, and RM Ramharack20 observed the density and composition of CO2 in the process of retrograde evaporation of condensate oil through PVT experiment, and approved that CO2 can inhibit condensate precipitation and move condensate. Their studies indicated that the dew point drops, the liquid-volume percent (liquid saturation) decreases, the compressibility factor falls and the two-phase envelope diagram shrinks with the increase of CO2 composition. All these trends showed the positive impact of CO2 have on liquid recovery. Millán A E et al.21 and Al-Abri et al.22,23 quantitatively studied the condensate recovery and relative permeability with long core experiment and numerical simulation. Research showed that injecting SC-CO2 can decrease capillary instability, improve mobility ratio, delay the breakthrough time of gas injection and improve the condensate sweep efficiency. Heron GM et al.24 and Taheri A et al.25 carried out experimental study of injecting CO2, N2 and dry gas into fractured gas condensate reservoir. They came to conclusions opposed to each other.

However, there has been little investigation on how CO2 mix with condensate gas and whether CO2 can improve the recovery of condensate gas, despite these numerous studies on mitigating condensate precipitation and enhancing oil recovery by CO2 flooding. In fact, condensate gas reservoirs produce both condensate gas and condensate, and both have high profits. In order to elucidate the possibility of CO2 EGR in condensate gas reserovirs, a series of experiments and model were used to analyze mixing procedure when CO2 contact with condensate gas. The focus of this research is to demonstrate under what kind of conditions in terms of pressure, temperature and CO2 concentration, CO2 and condensate gas are not easily mixed into one phase.

Experiment

Experiment materials

The condensate gas from Well YK1, located at north of China is composed of 87.368% methane, 3.570% ethane and 0.718% propane etc. CO2 has purity up to 99.95%. The physical properties of condensate gas are listed in Table 2. The experimental conditions are that in the YKL gas reservoir (at 43.5 MPa and 132.18 °C).

Table 2 Summary of YKL condensate gas used in the experiments.

Experimental apparatus

To observe and calibrate how CO2 mix with condensate gas, we set up a non-equilibrium experiment with high-pressure and high-temperature laboratory. A schematic of the experimental setup is presented in Fig. 1. A mercury-free DBR (Donald B. Robinson Company) PVT cell was used to study the phase behavior properties of the fluid samples. A transparent cylinder sapphire cell with a volume of approximately 150 ml and a maximum working pressure of 70 MPa at 200 °C was one of the most important parts of the experimental system. A half cone piston in cylinder cell can closely calibrate the fluid change in the experiment. The test fluid sample was placed in the cell by pushing a Ruska pump connected to the top of the cell. The volume of the injected sample was monitored by a cathetometer. Incandescent lamp, which was filled with hydrogen and N2, was placed at the opposite side of the sapphire cell to observe the change of the transmittance of the system. Fluid phase change in PVT cell was recorded via the computer video acquisition camera.

Figure 1
figure 1

Schematic diagram of the experimental apparatus. (a) Is the overall schematic diagram of the experimental apparatus; (b) is transparent cylinder sapphire cell.

Before the experiments, the sapphire cell was dismounted from the apparatus, washed with distilled water and dried, and then installed back into the apparatus. Subsequently, the cell was evacuated to ensure the absence of air. The desired temperature was set through the temperature chamber. After that, the right amount of the sample that was equilibrated without condensate was prepared to be injected into the sapphire cell at desired conditions of pressure and temperature.

Non-equilibrium phase measurement of CO2 mixed with condensate gas

Usually, it is difficult to survey the mixing process of CO2 and condensate gas in experiments through visual observation, because CO2 and condensate gas are both transparent. Inspired from the critical opalescence of CO2, critical opalescence is used to distinguish CO2 from condensate gas in these experiments. Critical opalescence is a striking light scattering phenomenon, which was elegantly explained by Einstein. In the critical region the light scattering is so large that the substance appears milky white in reflected light and brownish dark in transmitted light. The phenomenon arises from the large fluctuations in the critical region of the substance26. CO2 critical phenomenon around the critical temperature and pressure was reported in many literatures27,28,29. The critical temperature is 31 °C and critical pressure is 7.53 Mpa. However, the pressure and temperature of reservoir conditions are much higher than the critical pressure and critical temperature of CO2. No reports were mentioned about opalescence or density fluctuation of CO2 existed in high temperature and high pressure, which is far away from critical pressure and temperature.

The non-equilibrium phase measurements are aimed at finding the existence conditions of opalescence of CO2 over a wide range of temperatures and pressure, and characterizing the mix characteristic of CO2 and condensate gas at specific pressures and temperatures.

In the experiment, starting from a high pressure, it is gradually depressurized in the sapphire cell to observe physical changes through the glass window into the cell. Three different tests conducted: (1) Pressure and temperature search to find the opalescence of CO2 existence conditions; (2) Characterization of CO2 mixing with condensate gas; (3) Diffusion test of the system of condensate gas and SC-CO2 with high temperature.

Pressure and temperature search to find the opalescence of CO2 existence conditions

When the temperature was kept constant, the pressure search method was used to determine the CO2 opalescence existence conditions. The first step was to pump CO2 into sapphire cell at reservoir temperature (132.18 °C) and pressure (43.5 MPa). Then, pressure reduced from 43.5 MPa to 18 MPa, and CO2 status in sapphire cell was recorded every 3 minutes. To confirm the accuracy of the onset and end of the pressure of appearance and disappearance of opalescence CO2, three repetitive tests by increasing and decreasing the pressure around the appearance and disappearance of opalescence CO2 were preformed. Similar to the pressure search method, the temperature search method was used.

Characterization of CO2 mixing with condensate gas

Based on the pressure and temperature range at which CO2 displayed opalescence phase behavior, the pressure and temperature used to test the mixing of CO2 and condensate gas were selected. Then at specific temperature and pressure, injecting condensate gas from the top of sapphire cell steadily, took photos of the SC-CO2-condensate gas every five seconds from the visualization window.

Diffusion test of the system of condensate gas and SC-CO2 with high temperature

One group of temperature and pressure where CO2 appear opalescence phenomena were chosen. After the system standing for 30 minute, gas was discharge from sapphire cell with no pressure fluctuation. And their composition of different parts was measured with cathetometer.

Results and Discussion

Experiment Results

Pressure and temperature search to find the opalescence of CO2 existence conditions

Obvious phase changes of CO2 was recorded when pressure drops from 25 MPa to18MPa at 132.18 °C(Fig. 2).

Figure 2
figure 2

CO2 in PVT cell with vertical direction (132.18 °C).

Figure 2(1) and (2) shows that under the temperature and pressure of the gas reservoir (132.18 °C 43.5Mpa), the initial state of CO2 behaves like fluid with high density and stable physical properties. It is a kind of “liquid-like” supercritical fluid with the same light transmittance in the whole system. When the pressure drops to 25 MPa, CO2 opalescence appears in reservoir temperature for the first time (Fig. 2(3)). When the pressure drops continually, CO2 continues presenting opalescence phenomena in sapphire cell until 18Mpa (from Fig. 2(3) to (9)). When the pressure reaches to 18 MPa, opalescence phenomenon disappears and light transmittance increases significantly (Fig. 2(10)).

Similar phase changes of CO2 was recorded when temperature drops from 132 °C to 8 °C at 30 MPa (Fig. 3).

Figure 3
figure 3

CO2 in PVT cell with vertical direction (30 MPa).

Distribution characterization of CO2 mixed with condensate gas

The pressures to test the mixing of CO2 and condensate gas were selected based on above pressure search experiments. 25Mpa was chosen as experiment pressure for mixing CO2 and condensate gas. Keep the temperature of this system in 132.18 °C. Injecting condensate gas from the top of sapphire cell containing CO2 steadily, photographs of SC-CO2-condensate gas from the visualization window were recorded very five seconds.

The unequilirium experiment of CO2 and condensate gas snapshots revealed that obvious phase behavior change between CO2 and condensate gas at 25Mpa and 132.18 °C (Fig. 4). First the pure CO2 in the PVT cell, with weak background light source, was chosen as the basic condition before injecting condensate gas (Fig. 4(1)). At this point, CO2 stays in opalescence state with high density. After starting to inject condensate gas from the top of PVT cell, condensate gas looks like bright light appears at the top of CO2, which shows injected condensate gas has good transmittance. There is no obvious difference of the phase and physical characteristic between condensate gas and supercritical CO2 (Fig. 4(2 and 3)). After keeping injecting condensate gas from the top of PVT cell, there is convection diffusion and mass transfer between condensate gas and CO2. As condensate gas was injected from the top continually, the layer between two fluids with dark color appears. Similar to the phenomena near critical region reported in literature27, even temperature and pressure far away from critical point, these domains are dynamic and fluctuate strongly when the layer is between two fluids; we capture them immobilized during the transfer process(Fig. 4(4 and 5)). After keeping injecting condensate gas from the top of PVT cell, the layer between CO2 and condensate gas becomes clear (Fig. 4(6~10)). Continuing injecting condensate gas from the top of sapphire cell, the layer between CO2 and condensate gas shrinks and then contracts to a bright yellow opaque. There exists transparent uniform condensate gas on the top and transparent supercritical CO2 phase at the bottom (Fig. 4(11 and 12)).

Figure 4
figure 4

Unequilirium experiment of CO2 and condensate gas graph in vertical direction (from left to right condensate gas injected from above continually at 25 MPa 132. 18 °C).

Similar phenomena were also recorded at 22 MPa and 20 MPa.

The temperatures to test the mixing of CO2 and condensate gas were selected based on above temperature search experiments. Similar phenomena about mixing of CO2 and condensate gas were also recorded at 100 °C, 50 °C and 30 °C.

The experimental data with the onset and end pressure of layer appearance with different temperature, pressure and CO2 mole percentage were listed in Tables 3 and 4. When temperature drops from 132 °C to 30 °C, there is more possibility of the layer existed between CO2 and condensate gas. From 132.18 °C to 30 °C, there is a gradual declined reduction in the end pressure of layer, reaching a figure of 7.5 Mpa.

Table 3 The onset pressure of layer appearance (MPa).
Table 4 The end pressure of layer (MPa).

Diffusion test of the system of condensate gas and SC-CO2 with high temperature

To perform a detailed assessment of the spatial distribution of CO2 and condensate gas and discuss interface property, the diffusion test was carried out with the composition analysis of 10 equal division subdomains based on pressure search experiment. Fig. 5 and Table 5 shows the composition of different subdomains in Sapphire cell containing condensate gas and CO2 when pressure is 25 MPa and temperature is 132.18 °C, after mix experiment was stood still for 30 minutes. The gas was discharged and tested with cathetometer. Composition shows that domain 1–3 is primarily composed of condensate gas. Domain 4 to 6 see a dramatic rise of CO2 content rise and changed from 3.519 to 86%; a considerable decrease of the C2~C6 content occurs from 5.39% to 1.95%; as for the domain 6 to 9, the content of compositions remain still. Thus, compared with the composition of different domains, the interface between condensate gas and CO2 locate at domain 4–5, which means that the composition of interface may be a compound of CO2 and condensate gas. Based on the definition30, the layer between condensate gas and CO2 is also called interface. Aforementioned conclusion needs further investigation.

Figure 5
figure 5

Composition measure in PVT cell. (a) Snapshot of mixing fluid in PVT cell that is divided into 10 equal division subdomains. (b) CO2 content of different domains (c) C2–6 content of different domains.

Table 5 The composition of gas condensate and supercritical CO2 at different domains.

Interface property analysis

Interface property at 132.18 °C

The onset pressure of layer/interface appearance: In the experiment, when the temperature is 132.18 °C, the onset pressure of interface appearance is 25 MPa when 50 mol% of CO2 mixes with of 50 mol% condensate gas. The PR equation of state, which was fitted to experiment data, was used for two-phase flashing calculation under different experimental conditions. The calculation results are shown in Table 6. From the results, it can be seen that when the pressure is 25 MPa, the system with 50 mol% of condensate gas and 50 mol% of CO2 begin be condensed, which corresponds to the onset pressure of the interface. Therefore, it is believed that there may be an interface when condensate is condensed in CO2-condensate gas system.

Table 6 Two-phase flash with different pressure (50% CO2, 50% Condensate Gas Temperature 132.18 °C).

The end pressure of layer/interface: However, with the decrease of pressure, the condensate content in the interface rise and the interfacial tension between CO2 and condensate grows, and phase separation occurs. When the condensate in the interface is precipitated continuously, the interface disappears gradually due to the influence of gravity differentiation.

In order to prove above idea, numerical simulation of slimtube in CO2 drive condensate under different pressure was carried out to analyze the interfacial tension between CO2 content and condensate.

Analysis of interfacial tension in rich CO2 condensate

The CO2 mole percentage and interfacial tension were plotted for driving simulation of condensate. Dimensionless distance 0.375 is the CO2 displacement front of in the displacement process of condensate, shown in Fig. 6. At the displacement front of CO2, there is low interfacial tension between CO2 and condensate, which is about 0.6 dyn/cm, when the pressure is 25 MPa. With the pressure decreasing, the interfacial tension between CO2 and condensate increases gradually (Fig. 7). Therefore, when the temperature is 132.18 °C and the pressure is 25 MPa, CO2 can mix with condensate and forms interface. But with the decrease of pressure, condensate in the interface is separated, and the interface begins to be unstable.

Figure 6
figure 6

The simulated CO2 mole percentage and Interfacial tension (25 MPa 132.18 °C). Dimensionless distance 0 represent injector and Dimensionless distance 1 represent producer.

Figure 7
figure 7

The simulated Interfacial tension with CO2 mole percentage and pressure.

Density analysis

The density of interface was calculated based on molar percentage of the condensate and CO2. At 132 °C, the density of supercritical CO2, condensate gas and interface were plotted in the Fig. 8. When the pressure is 24.97 MPa, there is a stable density difference among three phases. With the pressure decreasing, the density of interface is closer to the density of supercritical CO2. When the pressure is below 10 MPa, the densities of interface and condensate gas are exactly the same. Thus, in order to form a stable interface, it is considered that there is a certain density difference between the three phases.

Figure 8
figure 8

The density of three phases at different pressure.

Modeling Results

Obtaining this experiment conditions including pressure, temperature and CO2 concentration which can yield interface phenomena is a very labor intensive and time consuming process, especially when the components differ greatly from different gas fields. A possible solution to this problem is to develop a new approach to describe experimental data that would allow construction phase transition interface out of a limited data set. Such approach will make it possible to obtain not only reliable information on properties of mixtures, but also data on composition.

Based on interface property analysis, novel mathematical model to model the interface phenomena during CO2 mixing with condensate gas was established, in order to find the region where the conditions in terms of pressure, temperature and CO2 concentration can yield VLV equilibrium containing interface, which is presented in Appendices.

Reliability of VLV calculation

The accuracy of the calculations was evaluated by the absolute average relative deviation (AARD) defined as follows,

$${\bf{AARD}}=\frac{{\bf{100}}}{{\bf{N}}}\sum _{{\bf{i}}={\bf{1}}}^{{\bf{N}}}\,\frac{|{{\bf{x}}}_{{\bf{i}}}^{{\bf{calc}}.}-{{\bf{x}}}_{{\bf{i}}}^{\exp {\boldsymbol{.}}}|}{{{\bf{x}}}_{{\bf{i}}}^{\exp {\boldsymbol{.}}}}$$
(1)

As shown in Fig. 9, experimental pressures at which interface appear and disappear with different CO2 mole percentage at 30 °C, 50 °C, 100 °C and 132 °C were in well agreement with that calculated by the VLV model with AARD = 5.41%, indicating that the VLV model in present work was reliable for interface envelop calculation.

Figure 9
figure 9

Comparison of Pressure of interface envelop of experiments and VLV model at 132 °C over a CO2 mole percentage range of 10–95%.

PTX phase diagram of interface

The PTX phase diagram of interface was drawn in Fig. 10. Figure 10 shows that the interface envelops looked like J column or “stomach”. At the temperatures above CO2 critical temperature (31 °C), interface occurs when CO2 contact with condensate gas (see Fig. 11). With the temperature rising, the up pressure and low pressure envelope of the interface increase gradually.

Figure 10
figure 10

PTX phase diagram of interface.

Figure 11
figure 11

PT phase diagram of interface.

Figure 12 illustrates that when CO2, the content of which is between 10% and 82%, mix with condensate gas, the system shows interface characteristics in a certain pressure range; when the content of CO2 is between 40 and 50 mol%, a wide pressure range of interface appears in the system.

Figure 12
figure 12

PX phase diagram of interface.

Conclusion

The following conclusions can be drawn from the current study:

  • Measures show opalescence or density fluctuation of CO2 in high temperature and high pressure. Opalescence phenomena of CO2 in high temperature and high pressure was used to observe the mix process of CO2 and condensate gas, which shows there is interface when CO2 mix with condensate gas at high (reservoir) temperature.

  • Thermodynamic characteristic analyses indicate the onset pressure of interface appearance between CO2 and condensate gas is around dew pressure in the CO2-condensate system. With the pressure dropping, the condensate in the interface is precipitated continuously. The end pressure of interface appearance is related to gravity differentiation because of increase of the interfacial tension and phase separation between CO2 and condensate.

  • The multiphase thermodynamic model for condensate-CO2 system in this paper can truthfully reflect the interface behavior during CO2 injecting condensate gas over a wide range of temperatures and pressures, and calculation results of which are close to the experimental data.

  • Our study provides the possibility to predict the enhanced condensate gas recovery with CO2 injection with novel trial.