Introduction

One of the critical challenges today is anthropogenic climate change due to global warming or rising earth temperature, of which a major contributor is the accumulated greenhouse gases, e.g., CO2, in the earth's atmosphere beyond the pre-industrial level. Global warming is affecting our planet via more extreme weather events as more heat is being trapped by greenhouse gases. There is an urgent demand to remove 1000 gigatons of CO2 from the earth's atmosphere by deploying more Carbon dioxide removal (CDR) techniques till 2100 to keep the warming below 1.5 °C1. As suggested by the world bank report, the world needs to adapt a systematic methodology to counterpoise 53 gigatons of greenhouse gas emitted each year1.

CO2 sequestration in geological formations, e.g. basalt formation, saline aquifers, unmineable coal seams, depleted coal and oil reservoir, is one of the effective techniques to meet the current challenges of growing greenhouse gases in the atmosphere. CO2 sequestration in unmineable coal seams is two-way advantageous for the future generation. It not only meets with the current challenges of greenhouse gas removal from the earth's atmosphere but also offsets the growing demand for energy through enhanced coalbed methane (ECBM) recovery. More and more research efforts have been devoted to developing the CO2-ECBM technology in the unmineable coal seams in recent years2,3,4,5,6,7,8. The first commercial ECBM field trial was performed in Allison unit, San Juan basin in 1995 and ~ 5 Bcf of CO2 had been injected with $2/Mcf profit in the CO2-ECBM project9. Others major ECBM pilot project includes Black Warrior basin, Powder river basin, Fenn-Big Valley (Alberta, Canada), Yuabri project (Hokkaido, Japan), China (Quinshui Basin (2004; 2010; 2013–15), APP ECBM project (2011–12)), etc.3,4,10.

Reservoir modeling is a methodology that incorporates various parameters related to geology, geochemical and petrophysics to replicate and predict the actual reservoir behaviour6,11. Like conventional reservoir modeling, CBM reservoir modeling is to aid in extracting the gas more efficiently, by predicting the reservoir performance with various possible technologies at different operating conditions and selecting the optimum conditions12. One of the main approaches to model CBM reservoir uses a non-equilibrium formulation in which sorption is pressure and time dependent and diffusion of gas in the coal matrix is the rate governing step. Various models have been put forth to understand the complex diffusion mechanism in coal, e.g. steady, pseudo-steady and unsteady state models13,14,15,16. The pseudo-steady state model considers matrix geometry and time, while the steady-state considers gas concentration as the primary controlling variable for calculating the diffusion process17,18. The unsteady state model is the most rigorous as it contemplates the gas concentration gradient19. Researchers have used various simulation software to model the CBM reservoir such as COMET3, ECLIPSE, COMSOL and SIMED-Win20,21,22,23,24. The COMET3 software used in this study, is a non-equilibrium pseudo-steady state simulator based on the dual porosity model14,25, which can incorporate vertical injection wells interrupting multiple seams, reservoir dip, stress-induced changes in permeability and porosity, and gravity segregation of gas–water system20,23,26.

Perera et al. (2012) utilized the COMET3 simulator for the numerical Simulation of CO2-ECBM reservoir27. Vishal et al.20,23,24 recently did a series of modeling studies for Indian Coalfields using COMET3 simulator. This paper discusses the primary CBM and CO2-ECBM recovery processes of Jharia coalfield. The primary recovery of the methane was comprehended with the help of adsorption isotherm. Numerical modeling was utilized for the secondary recovery of methane from Jharia coalfield. Simulation of CO2-ECBM process was done for ten years for Jharia coalfield. The breakthrough and break-even time, water and gas production rates for the ten years were extensively studied in this paper.

Material and methods

Sample collection preparation

Four coal samples have been retrieved from the exploratory borehole of Jharia coalfield. The sickle-shaped Jharia coalfield was formed during the Permian age comprasing with Talchir, Barren measures, Barakar and Raniganj formation. Jharia coalfield is one of the main coalbed methane fields in India (Fig. 1). Barakar formation is the primary coal-bearing formation in the Jahria coalfield, and near about 18 coal seams that are mainly low to medium volatile bituminous coal present in this formation28. Nevertheless, high volatile bituminous coal is also revealed in some places. Jharia coalfield contains an enormous amount of methane for potential commercial CBM production.

Figure 1
figure 1

Location of coal samples in Jharia coalfield (Modified after Panigrahy et. al, 201529 and plotted using Golden Software Surfer 11.0.642).

Soon after retrieving the samples from the borehole, they were sealed in the desorption canister for measuring the gas content. After taking out the samples from gas canister, samples were wrecked in half-inch pieces and mechanically broken using a jaw crusher. Samples were then brought to a hammer mill for the reduction in size down to the mesh size of 8 ASTM (~ 2.38 mm). A series of experimental steps were used to obtain the desired particle sizes for various analyses. The perquisite samples were ground and sieved to a mesh size of 60/70 to obtain an average particle diameter of 230 µm30. Samples for the proximate, ultimate and adsorption analysis were prepared according to the same mesh size, while for petrographic analysis, polished specimen was made using 20 mesh coal sample. The lithology of coal samples confirms that it belongs to shaly coal to bright coal. The details of the samples are shown in Table 1.

Table 1 The description of the coal samples.

The gas content of the coal samples

The gas content of the coal samples was analyzed using the United States Bureau of Mines (USBM) direct method31,32. The 50 cm freshly drilled borehole sample was sealed into the canister, and desorbed gas content was measured using the water displacement method. The actual gas content (G) adds the lost, desorbed and residual gas content as revealed in Eq. (1)33.

$$G(cc/g) = \frac{{Q_{1} + Q_{2} + Q_{3} }}{w}$$
(1)

where Q1, Q2 and Q3 are the lost, desorbed and residual gas in cc, while w (g) is the borehole sample weight. Figure 2 described the combined experimental set-up for collection and measurement of desorbed gas in field as well as in laboratory. The section including ABCD is used in the field for determination of desorbed gas immediately after retrieval of core from the well. The core was kept inside the canister D and the desorbed gas from the core was stored in graduated sample bottle A (fixed with clamp), dipped in the saline water through a two-way valve C. Once the system is brought to the laboratory, the valve is opened to the burette E through valve C and finally stored in collector “E”. For laboratory analysis, the gas samples can alsobe connected to sample collector A.

Figure 2
figure 2

Set up for gas content measurement.

The coalbed gas content by dry and ash-free basis (Gdaf) is defined by Eq. (2). The gas/vapor including moisture is adsorbed on the active surface area of the coal. In presence of ash, the active surface is reduced. Methane and moisture are competitive to the adsorption sites. Hence, the CBM gas content is decreased with the increament in ash content and moisture content.

$$G_{daf} (cc/g) = \frac{G}{1 - a - m}$$
(2)

where a and m are the ash and moisture fraction of coal, respectively.

Sample characterization

Proximate, ultimate and petrographic analyses were utilized for the characterization of the coal samples. The proximate analyses of the collected samples were carried out using the Advanced Research Instrument-Proximate Analyzer (APA-2) by following the standardASTM D3172-07a (2007). Ultimate analysis of coal was conducted using Elementar Vario MICRO cube (EL III CHNS analyzer) by following the standard ASTM D3176-89 (2002). ASTM standard (ASTM D2798-18, 2018) was utilized to measure the vitrinite reflectance of coal samples.

Adsorption isotherm

Adsorption isotherm for the coal were obtained using the indigenous setup based on the manometric method. This experiment was carried out at the reservoir condition for correctly depicting the methane adsorption capacity of coal. The schematic diagram for the experiment is shown in Fig. 3. The volume of gas adsorbed at different pressure and temperature conditions were measured using this apparatus. The details of the schematics diagram are described in another published literature30.

Figure 3
figure 3

The schematic diagram for the gas adsorption30.

The Langmuir equation was used to calculate the volume of pure gas adsorbed (V) at a particular pressure (P).

$$V = \frac{{PV_{L} }}{{P + P_{L} }}$$
(3)

where PL and VL are the Langmuir pressure and volume, respectively.

Numerical modeling of CO2 ECBM process

Modeling of CO2-ECBM process was carried out after studying the coal samples' geological and geochemical parameters. The coalbed model includes heterogeneity and anisotropy in coal, dual-porosity (microspores and macropores), gas diffusion by Fick's second law, Darcy's law for flow in cleats, preferential adsorption of CO2 over CH4, shrinkage and swelling of coal, permeability changes due to CO2 injection, and mixture adsorption using extended Langmuir model. COMET3 simulator was used for CO2-ECBM modeling of Jharia coalfield. The modeling was done for 3650 days, i.e. CBM was substituted by CO2 for ten years.

Governing equations for the modeling study

The governing equations in the COMET3 simulator are described below20,34:

Mass conservation equation for gas:

$$\nabla .\left[ {b_{g} M_{g} \left( {\nabla p_{g} + \gamma_{g} \nabla Z} \right) + R_{sw} b_{w} M_{w} \left( {\nabla p_{w} + \gamma_{w} \nabla Z} \right)} \right]_{f} + q_{m} + q_{g} = \left( \frac{d}{dt} \right)\left( {\phi b_{g} S_{g} + R_{sw} \phi b_{w} S_{w} } \right)_{f}$$
(4)

Mass conservation equation for water:

$$\nabla .\left[ {b_{w} M_{w} \left( {\nabla p_{w} + \gamma_{w} \nabla Z} \right)} \right]_{f} + q_{w} = \frac{d}{dt}\left( {\phi b_{w} S_{w} } \right)_{f}$$
(5)

where bn (n = g or w) is the bulking factor for gas and water, \(\gamma_{n}\) is the gradient, Rsw is the solubility of the gas in water, \(\phi\) is the porosity of coal, Z is the elevation, qn is the well sources term for gas and water, qm is the flow of gas in the matrix and Mn is the mobility of gas and water.

The adsorption–desorption of the mixture of CO2/CH4 was described by the extended Langmuir equation, which gives the amount of a particular gas adsorbed (Vi)35.

$$V_{i} (scf/ton) = V_{Li} \frac{{\frac{{Py_{i} }}{{P_{Li} }}}}{{1 + \sum\limits_{j = 1}^{{n_{c} }} {\frac{{Py_{j} }}{{P_{Lj} }}} }}$$
(6)

where j indicates gas components (CH4 or CO2), nc is number of gas components, VLi and PLi are the Langmuir volume and pressure of component i, yi is free gas mole fraction of component i, and P is pressure, psia.

The flow of gas in the matrix is described with Fick's second law of diffusion:

$$q_{{m_{i} }} = \frac{{V_{m} }}{{\tau_{i} }}\left[ {C_{i} - C_{i} (P_{i} )} \right];i = 1,2$$
(7)

where qm is the flow of particular gas, Vm is the element volume of the matrix, sorption time is \(\tau_{i}\), and Ci is the concentration of gas component i.

The porosity and permeability equations of the gas used are the Advance Resource International (ARI) models20:

$$\phi = \phi_{0} \left[ {1 + c_{p} \left( {P - P_{0} } \right)} \right] - c_{m} \left( {1 - \phi_{0} } \right)\left( {\frac{{\Delta P_{0} }}{{\Delta C_{0} }}} \right)\left( {C - C_{0} } \right)$$
(8)
$$\frac{k}{{k_{0} }} = \left( {\frac{\phi }{{\phi_{0} }}} \right)^{n}$$
(9)

where Cp and Cm are the pore and matrix shrinkage compressibility respectively; \(\phi\) and \(\phi_{0}\) are the coal porosity and initial coal porosity respectively, P and P0 are the reservoir pressure and initial reservoir pressure, C and C0 are the reservoir concentration and initial reservoir concentration respectively, k is the permeability and k0 is the initial permeability. Equation (9) is an empirical correlation based on the Kozeny-Carman equation with the exponent fitted to relate the permeability with porosity, which are measured from experiments. In our studies, we did not measure these values, the value of n in general ranges from 2 to 4.

Assumptions made for modeling

  1. 1.

    The coalbed has no dipping angle with constant thickness

  2. 2.

    The coalbed reservoir temperature is uniform and constant

  3. 3.

    Darcy's law is followed for describing the flow through cleats and fractures

  4. 4.

    The Fick's second law gives the diffusion in the coal matrix

  5. 5.

    The pseudo-steady state condition exists within a finite-difference grid block

  6. 6.

    The grid or finite difference blocks of the model is homogeneous or sorption time is constant within a block

The coalbed block model

The dimension of the coalbed block was chosen as 1000 ft × 1000 ft × 11 ft at a depth of 3219 ft with four production wells and one injection well. The production wells were selected as diagonally opposite with injection well at the center (Fig. 4). The main parameters are the Langmuir constants for both components, relative permeability curve, reservoir temperature, gas content, wellbore dimension, pore pressure, porosity, permeability, pore and matrix compressibility of coal.

Figure 4
figure 4

Coalbed block for CO2-ECBM simulation.

The model with two phases (gas–water), two components (CO2–CH4), and dual porosity (micro and macropores) was chosen to simulate the CH4 production by CO2 injection. The total coal block area is 23 acres. The coalbed model was divided into 20 grids of 50 ft each in x and y direction while 1 grid of 11 ft in z-direction.

The well diameter of the injection and production wells were chosen as 8 inches with a tubing diameter of 5 inches. CO2 was injected at the bottom of the model. Parameters for the model are tabulated in Table 2.

Table 2 Input parameters for modeling.

Results and discussions

Gas content of the coal samples

The gas content of the coal samples is shown in Table 3. The maximum coalbed gas content was found as 9.98 cc/g for sample GC #14. The gas content on the daf basis was also calculated.

Table 3 Gas content of the coal samples.

Characterization of coal samples

Samples were characterized based on proximate analysis, ultimate analysis, and vitrinite reflectance. As per the standard ASTM D388-18 (2018) for classification of rank and Stach's coal rank chart, coal samples belong to low volatile to medium volatile bituminous coal36. The characteristics of coal samples are shown in Table 4.

Table 4 Characteristics of coal samples.

Adsorption isotherm and primary recovery

The CBM adsorption isotherms for the four samples and their respective Langmuir parameters are shown in Fig. 5a–d. The Langmuir constants obtained through regression analysis by fitting the adsorption data with the Langmuir equation are shown in Table 5. The isotherm curves of the samples belong to Type I adsorption isotherm curve37.

Figure 5
figure 5

The CBM adsorption isotherms of the coal samples: (a) G.C. #1 (b) G.C. #5 (c) G.C. #7 (d) G.C. #14.

Table 5 Langmuir constants of the coal samples.

The primary recovery of methane was found using the analogy described in our previous publication31. The primary recovery of methane was analyzed using the adsorption isotherm with the help of critical desorption pressure and gas content. The dewatering process also plays an important role in the primary recovery of methane31. The CBM recovery factors from these samples were calculated using Eq. (10) and are shown in Table 6.

$$R_{c} = \frac{{V_{cdp} - V_{ab} }}{{V_{cdp} }} \times 100\%$$
(10)
Table 6 The primary recovery factors of methane.

Modeling results of the CO2-ECBM process

The Langmuir isotherm curves obtained for CH4 and CO2 are shown in Fig. 6, and these curves were used in the simulation.

Figure 6
figure 6

Langmuir curves for both CH4 and CO2.

Similarly, the water and gas relative permeability curves were also one of the essential parameters for simulating the CO2-ECBM process. Relative permeability controls the production performance of the CBM reservoir, and determination of realistic curves is challenging38,39. The relative permeability curves for gas and water at varying saturation levels used here are drawn using the Corey correlation based on the Corey capillary pressure model40, as shown in Fig. 7.

Figure 7
figure 7

Relative permeability curve for the gas and water.

Matrix CO2 and CH4 concentration

CO2 injected in coalbed dispersed from the center to the production wells at the corner of the block. Figure 8 reveals the CH4 and CO2 concentrations in coalbed grids with anisotropy and heterogeneity.

Figure 8
figure 8

CH4–CO2 matrix concentration after 0 day and 3650 days respectively: (a) CH4 (b) CO2.

Figure 8a shows the methane concentration at 0 day, i.e., before the injection, there is only methane in the coal matrix, and slowly it desorbs due to the displacement of CO2. After 3650 days, nearly all methane would be desorbed from the coal matrix, and high concentration of CO2 is shown in the coal matrix of the selected coal block, as shown in Fig. 8b. The maximum displacement rate of methane is achieved after 87 days of injection, i.e., 452 MSCFD.

CH4 and CO2 production and injection analysis

Both CO2 injection and CH4 production started at the same time. Although the production wells are placed equidistant from the injection well, the anisotropic permeability of the coal results in the rough start of the CH4 production of from the production wells41. The cumulative CO2 injection in Fig. 9a is linear because injection rate was fixed. Totally 2.25 BSCF of CO2 is required for injection till ten years. The cumulative CH4 production shown in Fig. 9b indicates that the maximum cumulative production of CH4 is achieved after ~ 700 days, due to the breakthrough of CO2 in the production wells.

Figure 9
figure 9

CO2 injection and CH4 production curves.

The very early breakthrough of the CO2 is after ~ 274 days, as shown in Fig. 10a. After breakthrough, the CO2 production linearly increases up to 3650 days. The breakthrough time was analyzed with methane and gas production rates, as shown in Fig. 10b. The point where the methane production rate and total gas production rate curves bifurcate would be the breakthrough time. The CO2 production rate after ~ 554 days exceeds the CH4 production rate. This point is designated as break-even time. After this time, the production of CH4 should be critically analyzed as separation cost of CO2 would be high. The shrinkage and swelling effect is also one of the leading causes of the depletion in CH4 production rate42,43.

Figure 10
figure 10

Breakthrough time and production curves.

Total water and gas production

Dewatering is a crucial stage for CBM production in coalbed methane reservoirs. Some of the wells could produce water up to 2–3 years44,45. The dewatering is required to reach the critical desorption pressure, and more dewatering means that the methane recovery factor would be lower 9,46. Thus, water production for the coalbed methane reservoiris critical for the CBM project economics. In this simulation, water production rate remains high (~ 50 BPD) for the first ~ 80 days and starts decreasing drastically (Fig. 11). The water production rate drops to ~ 10 BPD at the end of the first year, when total water production is around 14,000 BBLS. However, after ten years, i.e. at the end of this study, the water production rate of the water becomes almost 0 (~ 0.2 BPD), and the total water production is estimated to be ~ 18,000 BPD. It can be observed that after 55 days the total gas production rate surpasses the water production rate.

Figure 11
figure 11

The gas and water production rates.

Conclusions

Primary recovery of coalbed methane requires dewatering to reduce the reservoir pressure to desorb methane gas from the coal matrix. CO2 injection displaces methane and reduces the partial pressure of methane, and its adsorption on coal surface further removes adsorbed methane. The following conclusions can be drawn from this study:

  1. 1.

    Primary recovery on coal samples shows that more than 50% of methane can be extracted from the coalbed except for one sample.

  2. 2.

    Simulation case study showed that five years are required to desorb all the methane through CO2-ECBM, after that methane production rate drops to zero.

  3. 3.

    The maximum methane production rate can be achieved after 87 days, which is ~ 452 MSCFD. Meanwhile, the cumulative methane production reaches 15,308 MSCF. The CO2 amount in the cumulative gas production becomes noticeable after one-year injection, i.e. ~ 1 MSCF. Nevertheless, the production rate of CO2 at this point is 0.1 MSCFD.

  4. 4.

    Water production in the coalbed methane reservoir plays a crucial role in determining the overall project economy. Cumulative water production in this numerical case is continuous from the beginning and becomes constant (~ 17,000 BBLS) after four years of injection.

This integrated experimental and numerical study is valid and helpful for future implementation of the value adding CO2-ECBM process in the Jharia Coalfield, India. Before realizing this technology in the coalfield, more comparative studies on well types and patterns47, economic analysis and feasibility study must be carried out.