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Article

Numerical Simulation of Gas Production Behavior Using Radial Lateral Well and Horizontal Snake Well Depressurization Mining of Hydrate Reservoir in the Shenhu Sea Area of the South China Sea

1
Guangzhou Marine Geology Survey, China Geological Survey, Ministry of Natural Resources, Guangzhou 511458, China
2
National Engineering Research Center for Gas Hydrate Exploration and Development, Guangzhou 511458, China
*
Authors to whom correspondence should be addressed.
J. Mar. Sci. Eng. 2024, 12(7), 1204; https://doi.org/10.3390/jmse12071204
Submission received: 22 June 2024 / Revised: 14 July 2024 / Accepted: 16 July 2024 / Published: 17 July 2024

Abstract

:
Improving the production capacity of natural gas hydrates (NGHs) is crucial for their commercial development. Based on the data of the first on-site testing production of NGHs in the Shenhu Sea area, numerical methods were used to analyze the production behavior of radial lateral well (RLW) and horizontal snake well (HSW) with different completion lengths when they deployed at different layers of the Class-1 type hydrate reservoir (with a fixed pressure difference of 6 MPa and continuous production for 360 days). The results indicate that compared with the single vertical well production, RLW and HSW can effectively increase production capacity by enlarging drainage area and the productivity is directly proportional to the total completion length. The RLW and HSW deployed at the three-phase layer (TPL) have optimal mining performance within a 360-day production period. Different to the previous research findings, during a short-term production period of 360 days, regardless of the deployment layer, the overall production capacity of HSW is better than RLW’s. The total gas production of HSW-2 circles well type is about four times that of a single vertical well, reaching 1.554 × 107 ST m3. Moreover, the HSW-1 lateral well type stands out with an average Qg of 3.63 × 104 ST m3/d and a specific production index J of 16.93; it has the highest J-index among all well types, which means the best mining efficiency. It is recommended to choose the HSW-1 circle well type, if the coiled tubing drilling technique is used for on-site testing production of NGHs in the future. The research results provide insights into the potential applications of RLW and HSW in this sea area.

1. Introduction

Natural gas hydrates (NGHs) as an unconventional clean energy source are widely distributed and have huge reserves with great potential for commercial development [1,2,3,4]. The superiority of the depressurization method has been confirmed by recent offshore NGH testing production activities [5,6,7,8]. However, the production capacity of offshore NGH testing conducted by China and Japan is still far below the commercial standard of 50 × 104 m3/d [1]. Due to the significant gap between the daily production capacity of offshore NGH testing production and the industrialization threshold, achieving low-cost and efficient NGH development becomes a key challenge [9]. After conducting a systematic analysis of the entire NGH development process, Wu et al. believe that the most promising development direction to break through the bottleneck of NGH industrialization is the composite production mode of complex structured well (such as horizontal wells, radial lateral wells, and fishbone wells, etc.,) or group wells (well network) mainly consisting of multiple vertical/horizontal wells for depressurization mining combined with auxiliary heating (cable heating, microwave heating, and electromagnetic heating, etc.,) whilst simultaneously adopting stimulation techniques that are suitable for the target reservoir, such as CO2 cap reconstruction, near wellbore reservoir hydraulic jet grouting, hydraulic fracturing, steam or brine injection [9]. Among them, the main approach for stimulation is to construct complex structured wells such as horizontal wells and radial lateral wells, etc., with the main mechanism for stimulation enlarging the drainage area [9]. Ye H et al. observed that a directional well and a multilateral well may significantly boost productivity, particularly in cluster wells, which can increase gas productivity by up to 2.2 times that of a single well [10]. Mao et al. investigated the impact of various helical multilateral well parameters on production capacity and concluded that it has the potential to achieve commercial exploitation of NGHs [11]. Xin X et al. discovered that the depth of laterals in a multilateral well is a critical factor determining production capacity [12]. Ye H et al. investigated the effect of various parameter settings of various well types, and the findings revealed that branch parameters had the greatest influence on the productivity [13]. Hao Y et al. discovered that fishbone wells are the best well types for long-term development of NGHs [14]. Jin G et al. discovered that interference at the multilateral well intersections can increase hydrate dissociation [15]. According to research by He J et al., the single horizontal well’s production capacity was only around 59.3% lower than that of the six-branch fishbone well [16]. Cao X et al. discovered that well interference of a multibranch well is adverse to gas production [17]. Previous research has substantially prompted the application of complex structured wells in NGH development.
The coiled tubing drilling technique is widely used in conventional oil and gas extraction, due to its strong technical feasibility and low-cost advantages [18,19,20,21,22]. In recent years, the application of this technique in the mining of NGHs has received increasing attention. The primary research focus is applying the continuous tubing drilling technique to complete the drilling of two types of complex structured wells: horizontal serpentine wells and radial horizontal wells. For example, Wan et al. explored the technical feasibility of using the coiled tubing drilling technique for HSW drilling in NGH reservoirs. The research results verified the feasibility of the technology and the HSW can effectively improve the production capacity, reduce wellbore collapse problems, and has a relatively low cost [23]. Li et al. proposed a new method of using radial jet drilling to extract hydrates provided by the corresponding process flow and studied the extension limit and monitoring of the borehole trajectory [24]. Mahmood et al., using analytical models, investigated the gas production of RLW and HSW in extracting hydrates and found that the production capacity of RLW is positively correlated with the laterals’s quantity, length, and radius, while the production capacity of HSW is positively correlated with the length and radius of the wellbore [25]. Zhang et al. found that radial wells can significantly increase production capacity in the early stage of hydrate depressurization mining, and the lateral length is the main controlling factor for overall production capacity [26,27]. Zhang et al.’s experiment simulated the extraction of hydrates in water-rich hydrate samples via vertical and radial wells, and found that the gas and water production of the radial well was approximately 120% and 139% of the vertical well, respectively [28]. Wan et al. conducted a numerical evaluation of the gas production capacity of different radial lateral wellbore deployment schemes in the Shenhu Sea area hydrate reservoir. The results indicate that radial lateral wellbore can effectively improve production efficiency [29]. According to the progress of continuous tubing drilling technology in hydrate development in the past decade (Table 1), it can be seen that there is currently limited research on the RLW and HSW, therefore this work was based on on-site data from China’s first offshore NGH testing production and analyzed the gas and water production behavior of RLW and HSW with different completion layers and lateral lengths. The results provide a theoretical reference for the practical application of the above well types in the Shenhu Sea area.

2. Methodology

2.1. Method and Process

Taking China’s first offshore NGH testing production as an example, the NGH development simulation software TOUGH + HYDRATE V1.0 was adopted to establish an ideal interlayer heterogeneity model based on SHSC4 well logging curve data. The gas production data of the site was fitted to verify the reliability of the numerical model. This work predicted and compared the gas and water production behavior of RLW and HSW with different completion lengths when they deployed at different layers, with a fixed production pressure difference of 6 MPa and continuous production for 360 days. The methodology flow chart is shown in Figure 1.

2.2. Geological Background

The SHSC4 well is located in the Baiyun sag (Figure 2). The water depths at this site are about 1266 m, and the seabed temperature is around 3.33–3.73 °C, with the geothermal gradient ranging from 45 to 67 °C/km [7,30]. The hydrate reservoir consists of three parts: the first layer is the natural gas hydrate layer rich in hydrates and water (GHBL, 201–236 mbsf); the second layer is the three-phase layer containing hydrates, high saturation free gas, and water (TPL, 236–251 mbsf); and the third layer is the free gas layer composed of water and low saturation free gas (FGL, 251–278 mbsf) [7].

2.3. Simulator Code

TOUGH + HYDRATE V1.0 is a well-known natural gas hydrate simulation code which considers the interactions between hydrate phases, multiphase flow, and heat transfer. It can accurately describe the dynamic changes in temperature, pressure, and saturation during the formation or dissociation process of hydrates [31]. The parallel version of this code was used for this work and adopted the equilibrium model for simulating hydrate extraction [32,33]. The main governing equation of this code is briefly introduced as follows [31]:
  • Mass conservation equation
The definition of the flow control equation for multicomponent fluid that follow mass conservation is as follows:
d d t V n M κ d V = Γ n F κ n d Γ + V n q κ d V
In this equation, M κ is the mass accumulation of components, F κ is the flux, and q κ is the source/sink ratio.
2.
Energy conservation equation
The definition of the heat flow control equation follows energy conservation as follows:
d d t V n M θ d V = Γ n F θ n d Γ + V n q θ d V
In this equation, θ is the heat component, M θ is the heat accumulation, F θ is the flux, and q θ is the source/sink ratio.

2.4. Model Discretization and Simulation Scenarios

A schematic diagram of the model is shown in Figure 3a. The x-y plane domain was discretized into 13,221 grids, and the model’s z-axis was divided into 81 layers, with a total of 1,070,901 grids (Figure 3b). Hydrate dissociation is active near the wellbore and local refinement grids facilitate the capture of dynamic variations of temperature, pressure, and hydrate saturation. The minimum grid around the wellbore was set to x = 2.0 m, y = 2.0 m, and z = 1.0 m. This work established a total of nineteen simulation cases: (1) Single vertical well: the single vertical well with a length of 70 m was placed at the center of the model (Figure 3c). (2) Radial lateral well (RLW): Three simulation schemes: RLW-4 laterals, RLW-6 laterals, and RLW-8 laterals were established, each radial laterals well with a length of 357.05 m, 467.47 m, and 639.67 m respectively; RLW-4 laterals, RLW-6 laterals, and RLW-8 laterals were deployed at the middle of the three layers, respectively, (Figure 3d). (3) Horizontal snake well (HSW): Three simulation schemes: HSW-1 circle, HSW-1.5 circles, and HSW-2 circles were established, each horizontal snake well with a length of 357.05 m, 467.47 m, and 639.67 m respectively; HSW-1 circle, HSW-1.5 circles, HSW-2 circles were deployed at the middle of the three layers respectively (Figure 3e). Table 2 lists the detailed settings of the simulation scheme.

2.5. Model Initialization

GHBL, TPL, and FGL were initialized as individual subdomains, and the key was to maintain consistent heat flux between the contact surfaces of the subdomains. Finally, we combined the initialized subdomains as shown in Figure 4 [34,35,36,37] and set fixed temperatures and pressures at the top and bottom of the model to establish Dirichlet boundary conditions [38]. When the RLW and HSW were deployed at the middle of three layers, respectively, the production pressure difference between the wellbore grids and the reservoir was set to 6 MPa. In this work, the wellbore radius of the single vertical well was set to be 0.1 m, and the RLW and HSW were set to be 0.05 m [25].
The physical properties of reservoirs, such as porosity, permeability, and saturation, were initialized based on the on-site data [7]. Since there was no information for the OB and UB, we assumed that their permeability was 2.0 mD and their porosity was 0.3. Table 3 provides the initial values of the main parameters.

2.6. Model Validation

Model validation is a crucial step in numerical simulation research. According to the data released by Li et al., the gas production of China’s first offshore natural gas hydrate trial production is shown in Table 4 [43].
The single vertical well was deployed at the center of the model with a length of 70 m, the completion interval was −201 to −271 mbsf (consistent with the model’s −21 m to −91 m), and the wellbore grid had a production pressure difference of 3 MPa [44]. The position of the vertical well is shown in Figure 5.
Figure 6 shows the fitting results of gas production. It can be seen that the fitting results of simulated gas production and trial production data were within an acceptable range. According to the fitting results, this model can serve as the basic model for subsequent research.

3. Results and Discussion

3.1. RLW and HSW Deployed at GHBL

3.1.1. Evolution of Gas and Water Characteristics

Figure 7a,b shows the variation curves of gas production rate (Qg) and cumulative gas production (Vg) with different RLW and HSW design deployment at the middle of GHBL. The gas production rate curves of these two well types can be divided into two stages. The existence of solid hydrates results in a lower effective permeability of the GHBL layer, therefore Qg remains at a relatively low level in the early stages of production. After 90 days of depressurization, as the hydrates dissociation around the wellbore improves the seepage conditions, the free gas from TPL suddenly increases Qg and Vg, leading to the second stage of production. Subsequently, they decrease as the driving force weakens. After 360 days of depressurization, the Vg of RLW-4 laterals, RLW-6 laterals, RLW-8 laterals, HSW-1 circle, HSW-1.5 circles, and HSW-2 circles were 453.83 × 104, 596.20 × 104, 731.84 × 104, 514.16 × 104, 644.57 × 104, and 849.53 × 104 ST m3, compared to the single vertical well, and increased by 124.22%, 163.19%, 200.31%, 140.73%, 176.42%, and 232.53%, respectively. The results show that RLW and HSW can increase the drainage area and significantly improve production capacity. Figure 7c,d shows the variation curves of the water production rate (Qw) and the gas-to-water ratio (Rgw). Compared with the single vertical well, the solid hydrates around the RLW and HSW’s wellbore dissociation under the driving force, and the water produced via hydrates dissociation enters the wellbore, causing the Qw to show a stable period before 90 days. With the free gas from TPL beginning to enter the wellbore, the Qw suddenly decreases at 90 days. As a critical index for evaluating the efficiency of hydrate extraction, a higher Rgw (ST m3 of CH4/ST m3 of water) implies better economically feasibility. When these two types of wells were deployed at GHBL, their Rgw was ultimately stable at around 100. Table 5 shows the gas production of these well types.

3.1.2. Physical Characteristics of the Reservoir

The internal wellbore of HSW and the intersection of laterals in RLW had larger pressure drop areas (Figure 8a), which was due to the pressure superposition. This phenomenon was consistent with the findings of Jin et al. [15]. Compared with the well types deployed at TPL and FGL, the well types deployed at GHBL had a larger pressure gradient. This is because the presence of solid hydrates reduces the effective permeability of the reservoir, and allows for effective pressure propagation. The TPL and FGL contain free gas and the expansion effect of the gas limits the propagation of pressure, resulting in a smaller pressure gradient. Low-temperature areas were formed near the wellbore (Figure 8b) due to the heat absorption caused by the dissociation of hydrates (Figure 8c). Corresponding to the pressure field diagram, the internal wellbore of HSW and the intersection of laterals in RLW had a larger low-temperature area and hydrate dissociation range. A certain amount of gas was accumulated around the wellbore after 360 days of depressurization (Figure 8d).

3.2. RLW and HSW Deployed at TPL

3.2.1. Evolution of Gas and Water Characteristics

Figure 9a,b shows the variation curves of Qg and Vg with different RLW and HSW design deployments at the middle of TPL. The Qg of these two well types gradually decreased after reaching its peak value in the initial stage. Even so, its Qg and Vg were the highest compared to the well types deployed at GHBL and FGL, which was because it can simultaneously recover hydrate dissociation gas from GHBL and free gas from TPL and FGL. Wan et al. also found the same results in previous studies [29]. After 360 days of depressurization, the Vg of RLW-4 laterals, RLW-6 laterals, RLW-8 laterals, HSW-1 circle, HSW-1.5 circles, and HSW-2 circles were 1215.12 × 104, 1294.38 × 104, 1356.88 × 104, 1305.72 × 104, 1463.54 × 104, and 1554.73 × 104 ST m3, compared to the single vertical well, increased by 332.59%, 354.29%, 400.58%, 357.39%, 371.39%, and 425.54%, respectively. The results showed that the well types deployed at TPL had excellent production performance. It is worth noting that, similar to the wells deployed at GHBL, the overall production capacity of the HSW well was better than that of RLW, especially the production capacity of the HSW-1 circle was better than that of RLW-4 and RLW-6 laterals. This may be due to the smaller distance between the wellbore of HSW with spiral distribution, resulting in a larger range of pressure superposition and stronger synergistic production effects between wellbore. In this case, the reservoir at the root of the RLW laterals wellbore formed a certain amount of secondary hydrates, as shown in Figure 10c. Figure 9c,d shows the variation curves of Qw and Rgw. When these well types were deployed at TPL, their Qw was slightly lower overall compared to those deployed at GHBL and FGL. This was because a lot of free gas entered the wellbore, which affects water production; their Rgw was ultimately stable at around 200. Table 6 shows the gas production of these well types.

3.2.2. Physical Characteristics of the Reservoir

The pressure superposition effect results in larger low-pressure area areas at the internal wellbore of HSW and the intersection of laterals in RLW (Figure 10a). The Joule–Thomson effect promotes the formation of low-temperature areas near wellbore reservoirs (Figure 10b). The reservoir at the root of the RLW laterals wellbore formed a certain amount of secondary hydrates after 360 days of depressurization (Figure 10c). Moreover, due to long-term mining, the surrounding areas of these well types formed corresponding low-saturation gas areas (Figure 10d).

3.3. RLW and HSW Deployed at FGL

3.3.1. Evolution of Gas and Water Characteristics

Figure 11a,b shows the variation curves of Qg and Vg with different RLW and HSW design deployments at the middle of FGL. After about eight days of depressurization, the Qg of these two well types suddenly increased with the free gas from TPL entering the wellbore and gradually decreased with the weakening of the driving force. After 360 days of depressurization, the Vg of RLW-4 laterals, RLW-6 laterals, RLW-8 laterals, HSW-1 circle, HSW-1.5 circles, and HSW-2 circles were 1027.71 × 104, 1141.27 × 104, 1303.45 × 104, 1148.70 × 104, 1303.45 × 104, and 1396.74 × 104 ST m3, compared to the single vertical well, increased by 281.29%, 312.38%, 356.77%, 314.41%, 330.46%, and 382.30%, respectively. Similar to the wells deployed at GHBL and TPL, the overall production capacity of HSW well was better than that of RLW and the production capacity of HSW-1 circle was better than that of RLW-4 and RLW-6 laterals again. Figure 11c,d shows the variation curves of Qw and the Rgw. Compared with the well types deployed at GHBL and TPL, the well types deployed at FGL had a slightly higher water production rate because it had a higher water saturation of about 93%, and their Rgw was ultimately stable at around 100 to 200. Table 7 shows the gas production of these well types.

3.3.2. Physical Characteristics of the Reservoir

Due to the superimposed pressure drop, the internal wellbore of HSW and the intersection of laterals in RLW had larger pressure drop areas (Figure 12a). Compared with the well types deployed at GHBL and TPL, the gas expansion effect weakened pressure propagation when the well types deployed at FGL. There were no low-temperature areas or secondary hydrates formed around the wellbore (Figure 12b,c), which was because FGL has a higher formation temperature. Additionally, a low saturation of free gas accumulated around these well type’s wellbores (Figure 12d).

3.4. Discussion

3.4.1. Comparison of Production Capacity

The average Qg and average Rgw are commonly used to evaluate production capacity. Figure 13 depicts the average Qg and average Rgw of these well types during the 360-day production period. When these well types are deployed at GHBL, the average Qg slowly increases with the dissociation of solid hydrates during production. Due to the synergistic pressure reduction effect between wellbores, the HSW well type performs better under the same completion length. When these well types are deployed at TPL or FGL, their average Qg decreases with production as the driving force weakens. Similarly, due to the synergistic pressure reduction effect between wellbores, the HSW well type performs better. In addition, these well types have the best average Rgw performance when deployed at the TPL. Due to the production capacity, they may not be completely proportional to the well length. Therefore, the specific production index J is adopted as a supplementary indicator, which is mainly affected by the well types and the definition is as follows [9]:
J = Qg/hΔP
Here, ΔP is the production pressure difference (MPa) and h is the well length (m). Figure 13 depicts J index of these well types during the 360-day production period. The productivity of these well types ranked as follows: TPL > FGL > GHBL. When these well types were deployed at the TPL, they had the best mining performance, and the HSW-1 circle well type stood out with an average Qg of 3.63 × 104 ST m3/d and a J-index of 16.93. Although the average Qg of the HSW-1 circle well type was not the highest, its J-index was the highest among all well types, indicating that it had the best exploitation efficiency.

3.4.2. Summary and Recommendations

Unlike traditional drilling, coiled tubing drilling has a smaller wellbore size and turning radius, providing self-propulsion through hydraulic jetting. The axial and lateral forces generated on the wellhead during radial drilling are much lower, which can greatly improve the stability of the wellhead; this method has much lower drilling and production costs, and has great potential for application in future hydrate development, which is worth further study [24]. This work was based on on-site data from China’s first offshore natural gas hydrate testing and production site and numerically analyzed the production behavior of RLW and HSW. Compared with the single vertical well production, RLW and HSW can effectively increase production capacity by enlarging the drainage area and the productivity is directly proportional to the total completion length, which is consistent with the results of many similar studies (e.g., Mahmood et al., 2021; Zhang, 2020, 2021) [25,26,27]. Different from the previous research results of Mahmood et al., during a short-term production period of 360 days, the overall production capacity of HSW was better than that of RLW, regardless of which layer they were deployed to [25]. This may be because previous research was based on analytical models, and factors such as the synergistic pressure reduction effect between wells could not be well considered. Meanwhile, RLW and HSW deployed at TPL had the highest production capacity during a 360-day production period. The total gas production of HSW-2 well type was about four times that of a single vertical well, reaching 1.554 × 107 ST m3. It is worth noting that the HSW-1 circle well type stood out with an average Qg of 3.63 × 104 ST m3/d and a J-index of 16.93; it had the highest J-index among all well types, which means the best mining efficiency. It is recommended to choose the HSW-1 circle well type, if the coiled tubing drilling technique is used for on-site testing production of NGHs in the future. This work still has certain limitations. In the future, it is necessary to consider the real reservoir environment to establish a three-dimensional heterogeneous model, and further combine wellbore heating or reservoir reconstruction techniques to study the production behavior of RLW and HSW in-depth.

4. Conclusions

Based on the on-site data of China’s first offshore NGH testing production site in the Shenhu Sea area, an ideal interlayer heterogeneity model of the SHSC4 well was established and the productivity of RLW and HSW were numerically evaluated with different completion layers and lateral lengths. The following results were obtained:
(1) RLW and HSW can effectively improve production capacity by expanding the drainage area, which is directly proportional to the number and length of laterals and the length of the horizontal wellbore. Different from previous research results, during a short-term production period of 360 days and due to the synergistic pressure reduction effect between wellbores, the overall production capacity of HSW was better than that of RLW, regardless of which layer they were deployed to.
(2) RLW and HSW deployed at the TPL had optimal mining performance within a 360-day production period due to their highest Rgw performance. The Vg of the HSW-2 circles well type was about four times that of a single vertical well, reaching 1.554 × 107 ST m3. It is worth noting that the HSW-1 circle well type stood out with an average Qg of 3.63 × 104 ST m3/d and a J-index of 16.93 after 360-day production; it had the highest J-index among all well types, which meant the best mining efficiency. It is recommended to choose the HSW-1 circle well type, if the coiled tubing drilling technique is used for on-site testing production of NGHs in the future.
(3) Coiled tubing drilling has a smaller wellbore size and turning radius. With the advantages of strong technical feasibility and low-cost, it has great potential for application in hydrate development. In the future, it is necessary to consider the real reservoir environment, combined with stimulation methods such as wellbore-assisted heating and reservoir reconstruction, to further investigate the gas and water production behavior of RLW and HSW in different types of NGH reservoirs.

Author Contributions

T.W.: Conceptualization, Methodology, Software, Writing—Original Draft. M.W.: Writing—review and editing, Supervision. H.L.: Resources, Funding acquisition. Z.L.: Formal analysis, Investigation. Z.C.: Formal analysis, Investigation. L.T.: Resources. Q.L.: Data curation, Visualization. J.Q.: Data curation, Visualization. J.W.: Writing-review and editing, Supervision, Project administration. All authors have read and agreed to the published version of the manuscript.

Funding

National Key Research and Development Program of China (No. 2021YFB3401405 and No. SQ2023YFC2800361); Guangzhou Science and Technology Program (No. 202206050002); Guangdong Basic and Applied Basic Research Foundation (No. 2022A1515011902); and the Director General’s Scientific Research Fund of Guangzhou Marine Geological Survey (No. 2023GMGSJZJJ00027).

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Data will be made available on request.

Conflicts of Interest

The authors declare that they do not have any commercial or associative interest that represent conflicts of interest in connection with the submitted work.

Nomenclature

Abbreviations
LOpen hole completion length of wellbore (m)OBOverburden layer
lLength of each lateral wellbore (m)UBUnderburden layer
nQuantity of lateral wellbore GHBLGas hydrate bearing layer
M κ Mass accumulation of component κ, (kg/m3)TPLThree phase layer
F κ   Mass flux of component κ, kg/(m2·s)FGLFree gas layer
q κ   Sink/source of component κ, kg/(m3·s)NGHNatural gas hydrate
M θ Energy accumulation (J/m3) RLWRadial lateral well
F θ Energy flux, J/(m2·s)HSWHorizontal snake well
q θ Sink/source of heat, J/(m3·s)
V Volume (m3)
Γ     Surface area (m2)
tTimes (s)
φPorosity
QgGas production rates at well (m3/d)
QwWater production rates at well (m3/d)
VgCumulative gas production at well (m3/d)
RgwRatio of cumulative gas to cumulative gas
(ST m3 of CH4/m3 of H2O)
JSpecific production index (-)
βPhase, β = A, G, H, I is aqueous, gas, hydrate and ice, respectively
κComponent, κ = w, m, i, h is water, methane, salt, and hydrate, respectively
SβSaturation of phase β
TTemperature (°C)
Pcap
cap
Capillary pressure (Pa)
P0Initial capillary pressure (Pa)
S*Saturation for capillary pressure
model
SmxAMaximum aqueous saturation
SirAIrreducible saturation of aqueous phase
SirGIrreducible saturation of gas phase
nAPermeability reduction index for aqueous phase
nGPermeability reduction index for gas phase
λPorosity distribution index
kPermeability (m2)
gGravity acceleration (m/s2)
kRelative permeability of phase β

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Figure 1. Methodology flow chart.
Figure 1. Methodology flow chart.
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Figure 2. SHSC well site location [14]. (Adapted with permission from Hao, et al. Dynamic analysis of exploitation of different types of multilateral wells of a hydrate reservoir in the South China sea. Energy & Fuels 2022, 36, 6083–6095., Copyright 2022 American Chemical Society.).
Figure 2. SHSC well site location [14]. (Adapted with permission from Hao, et al. Dynamic analysis of exploitation of different types of multilateral wells of a hydrate reservoir in the South China sea. Energy & Fuels 2022, 36, 6083–6095., Copyright 2022 American Chemical Society.).
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Figure 3. Schematic diagram of the model and well types: (a) geological model and Logging curve of SHSC-4 well. (b) Model mesh. (c) Schematic diagram of vertical well. (d) Schematic diagram of radial lateral well. (e) Schematic diagram of horizontal snake well.
Figure 3. Schematic diagram of the model and well types: (a) geological model and Logging curve of SHSC-4 well. (b) Model mesh. (c) Schematic diagram of vertical well. (d) Schematic diagram of radial lateral well. (e) Schematic diagram of horizontal snake well.
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Figure 4. Model’s initial conditions.
Figure 4. Model’s initial conditions.
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Figure 5. Vertical well position.
Figure 5. Vertical well position.
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Figure 6. On-site gas production fitting.
Figure 6. On-site gas production fitting.
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Figure 7. Gas and water production curves of RLW and HSW deployed at GHBL: (a) gas production rate Qg. (b) Cumulative gas production Vg. (c) Water production rate Qw. (d) Gas-to-water ratio Rgw.
Figure 7. Gas and water production curves of RLW and HSW deployed at GHBL: (a) gas production rate Qg. (b) Cumulative gas production Vg. (c) Water production rate Qw. (d) Gas-to-water ratio Rgw.
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Figure 8. Physical characteristics distribution diagram of RLW and HSW deployed at GHBL.
Figure 8. Physical characteristics distribution diagram of RLW and HSW deployed at GHBL.
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Figure 9. Gas and water production curves of RLW and HSW deployed at TPL: (a) gas production rate Qg. (b) Cumulative gas production Vg. (c) Water production rate Qw. (d) Gas-to-water ratio Rgw.
Figure 9. Gas and water production curves of RLW and HSW deployed at TPL: (a) gas production rate Qg. (b) Cumulative gas production Vg. (c) Water production rate Qw. (d) Gas-to-water ratio Rgw.
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Figure 10. Physical characteristics distribution diagram of RLW and HSW deployed at TPL.
Figure 10. Physical characteristics distribution diagram of RLW and HSW deployed at TPL.
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Figure 11. Gas and water production curves of RLW and HSW deployed at FGL: (a) gas production rate Qg. (b) Cumulative gas production Vg. (c) Water production rate Qw. (d) Gas-to-water ratio Rgw.
Figure 11. Gas and water production curves of RLW and HSW deployed at FGL: (a) gas production rate Qg. (b) Cumulative gas production Vg. (c) Water production rate Qw. (d) Gas-to-water ratio Rgw.
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Figure 12. Physical characteristics distribution diagram of RLW and HSW deployed at FGL.
Figure 12. Physical characteristics distribution diagram of RLW and HSW deployed at FGL.
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Figure 13. Histogram of average Qg, average Rgw and J index, and t = 120, 240, 360 days.
Figure 13. Histogram of average Qg, average Rgw and J index, and t = 120, 240, 360 days.
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Table 1. Progress of coiled tubing drilling technique in hydrate development.
Table 1. Progress of coiled tubing drilling technique in hydrate development.
AuthorYearInputWork SummaryOutput
Cinelli et al. [18]2013Technical reviewIntroduced the equipment and technical process of coiled tubing drilling, using a low permeability oilfield as an example to detail the completion process and production statistics for radial jet drilling.Coiled tubing drilling technique is a low-cost and environmentally friendly method to improve productivity.
Kamel et al. [19,20]2016,
2017
Technical reviewIntroduced the theoretical, and technological progress, procedures, applications, and challenges of coiled tubing drilling technique. Several global case studies were discussed.Coiled tubing drilling technique is effective for increasing production, and is a feasible and cost-effective alternative to marginal oilfield fracturing.
Huang et al. [22]2019Technical reviewIntroduced the technical characteristics, advantages, and limitations of coiled tubing drilling technique. Discussed the drilling performance and trajectory measurement methods.Coiled tubing drilling technique is a flexible new geo-energy development technology.
Wan et al. [23]2019Analytical modelExplored the feasibility of developing NGHs v HSW. Provided an analytical model to calculate the maximum achievable wellbore length (MAWL). Predict the production capacity based on the Furui equation.The HSW mining technology is feasible for offshore NGHs, and demonstrates how to evaluate its productivity and economy.
Li et al. [24]2020Analytical model, experiment, and numerical simulationIntroduced the process flow of developing NGHs via radial lateral wells, the ability of jet rock breaking drilling, the feeding method and extension limit of jet drill bits, wellbore trajectory measurement, and control.A new approach was proposed to develop marine NGHs using an integrated method of cavitation jet drilling radial horizontal wells and screen tube completion.
Mahmood et al. [25]2021Analytical modelCompared the production potential of HSW and RLW using the developed analytical model and on-site case data of NGH reservoirs in the South China Sea.RLW produce slightly higher gas productivity than HSW.
Zhang et al. [26,27]2020,
2021
Numerical simulationStudied the performance of gas hydrate development by combining radial lateral wells with depressurization.Radial lateral wells can improve gas recovery rates in the early stages of production and slow down secondary hydrates generation. The recovery rate of hydrates is linearly related to the lateral length.
Zhang et al. [28]2022ExperimentalExperimental studies were conducted on the depressurization and extraction of hydrated sediments in both gas-rich and water-rich using vertical and radial lateral wells, respectively.When extracting rich gas hydrate sediments, the gas production behavior of vertical and radial lateral wells is almost the same. When extracting rich water hydrate sediments, the cumulative gas production of radial lateral well increased by 20.16% compared to vertical well.
Wan et al. [29]2024Numerical simulationA numerical evaluation was conducted on the gas production capacity of Class-1 type hydrate reservoirs using different radial lateral well deployment schemes.Compared to a single vertical well, the cumulative gas production of a radial lateral well increased by approximately 208.53%.
Table 2. Detailed settings of the simulation scheme.
Table 2. Detailed settings of the simulation scheme.
CaseParameter Settings
L/(m)l/(m)nWellbore Location
Single vertical well70---
RLW-4 laterals357.0589.264Middle of GHBL/TPL/FGL
RLW-6 laterals467.4777.916
RLW-8 laterals639.6779.958
HSW-1 circle357.05--
HSW-1.5 circles467.47--
HSW-2 circles639.67--
Note: L is the open-hole completion length of wellbore; l is the length of each lateral wellbore; n is the quantity of lateral wellbore.
Table 3. Initial values of the main parameters.
Table 3. Initial values of the main parameters.
ParameterValue and UnitData Sources
Overburden (OB) and Underburden (UB)’s thickness20 m[39]
GHBL’s thickness 35 m[40]
TPL’s thickness 15 m[40]
FGL’s thickness 27 m[40]
OB and UB’s permeability2.0 mD-
GHBL’s permeability2.9 mD[40]
TPL’s permeability1.5 mD[40]
FGL’s permeability7.4 mD[40]
OB and UB’s porosity0.30[40]
GHBL’s porosity 0.35[40]
TPL’s porosity0.33[40]
FGL’s porosity 0.32[40]
GHBL and TPL’s hydrate saturation
FGL’s gas saturation
Extract from logging curve (Figure 3a)[7]
Single vertical wellbore radius 0.1 m[25]
Radial lateral wellbore radius 0.05 m[25]
Horizontal snake wellbore radius0.05 m[25]
Production pressure difference6.0 MPa-
Salinity3.0%[40,41,42]
Grain density 2650 kg/m3[40,41,42]
Geothermal gradient46 °C/km[30]
Grain specific heat 1000 J·kg−1·K−1[40,41,42]
Dry thermal conductivity1.0 W·m−1·K−1[40,41,42]
Wet thermal conductivity3.1 W·m−1·K−1[40,41,42]
Capillary pressure model P c a p = P 0 [ S 1 / λ 1 ] 1 λ   ,     S = ( S A S i r A ) S m x A S i r A -
Maximum aqueous saturation SmxA 1[40,41,42]
Porosity distribution index λ0.45[40,41,42]
Initial capillary pressure P0 104 Pa[40,41,42]
Relative permeability model KrA = [(SASirA)/(1 − SirA)]nA, KrG = [(SGSirG)/(1 − SirA)]nG-
Aqueous phase permeability reduction index nA3.5[41]
Gas phase permeability reduction index nG 2.5[41]
Irreducible gas saturation SirG 0.03[41]
Irreducible aqueous saturation SirA0.30[41]
Table 4. Gas production of the first offshore NGH test production in China.
Table 4. Gas production of the first offshore NGH test production in China.
Duration/dCumulative Gas Volume/104 m3Gas Rate/103 m3·d−1
0–812.8016.00
9–163.204.00
17–222.373.95
23–312.712.98
32–422.422.20
43–607.404.11
Table 5. Gas production of RLW and HSW deployed at GHBL.
Table 5. Gas production of RLW and HSW deployed at GHBL.
CaseAverage
Qg (104 m3/d)
Vg (104 m3)Compared to VW (Ref)
HSW-2 circles2.36849.53232.53%
RLW-8 laterals2.03731.84200.31%
HSW-1.5 circles1.79644.57176.42%
RLW-6 laterals1.66596.20163.19%
HSW-1 circle1.43514.16140.73%
RLW-4 laterals1.26453.83124.22%
Single vertical well1.01365.35100.00%
Table 6. Gas production of RLW and HSW deployed at TPL.
Table 6. Gas production of RLW and HSW deployed at TPL.
CaseAverage
Qg (104 m3/d)
Vg (104 m3)Compared to VW (Ref)
HSW-2 circles4.321554.73425.54%
RLW-8 laterals4.071463.54400.58%
HSW-1.5 circles3.771356.88371.39%
HSW-1 circle3.631305.72357.39%
RLW-6 laterals3.601294.38354.29%
RLW-4 laterals3.381215.12332.59%
Single vertical well1.01365.35100.00%
Table 7. Gas production of RLW and HSW deployed at FGL.
Table 7. Gas production of RLW and HSW deployed at FGL.
CaseAverage
Qg (104 m3/d)
Vg (104 m3)Compared to VW (Ref)
HSW-2 circles3.881396.74382.30%
RLW-8 laterals3.621303.45356.77%
HSW-1.5 circles3.351207.33330.46%
HSW-1 circle3.191148.70314.41%
RLW-6 laterals3.171141.27312.38%
RLW-4 laterals2.851027.71281.29%
Single vertical well1.01365.35100.00%
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Wan, T.; Wen, M.; Lu, H.; Li, Z.; Chen, Z.; Tian, L.; Li, Q.; Qu, J.; Wang, J. Numerical Simulation of Gas Production Behavior Using Radial Lateral Well and Horizontal Snake Well Depressurization Mining of Hydrate Reservoir in the Shenhu Sea Area of the South China Sea. J. Mar. Sci. Eng. 2024, 12, 1204. https://doi.org/10.3390/jmse12071204

AMA Style

Wan T, Wen M, Lu H, Li Z, Chen Z, Tian L, Li Q, Qu J, Wang J. Numerical Simulation of Gas Production Behavior Using Radial Lateral Well and Horizontal Snake Well Depressurization Mining of Hydrate Reservoir in the Shenhu Sea Area of the South China Sea. Journal of Marine Science and Engineering. 2024; 12(7):1204. https://doi.org/10.3390/jmse12071204

Chicago/Turabian Style

Wan, Tinghui, Mingming Wen, Hongfeng Lu, Zhanzhao Li, Zongheng Chen, Lieyu Tian, Qi Li, Jia Qu, and Jingli Wang. 2024. "Numerical Simulation of Gas Production Behavior Using Radial Lateral Well and Horizontal Snake Well Depressurization Mining of Hydrate Reservoir in the Shenhu Sea Area of the South China Sea" Journal of Marine Science and Engineering 12, no. 7: 1204. https://doi.org/10.3390/jmse12071204

APA Style

Wan, T., Wen, M., Lu, H., Li, Z., Chen, Z., Tian, L., Li, Q., Qu, J., & Wang, J. (2024). Numerical Simulation of Gas Production Behavior Using Radial Lateral Well and Horizontal Snake Well Depressurization Mining of Hydrate Reservoir in the Shenhu Sea Area of the South China Sea. Journal of Marine Science and Engineering, 12(7), 1204. https://doi.org/10.3390/jmse12071204

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