2D modeling of well array operating enhanced geothermal system

Ding, Junfeng; Wang, Shimin

doi:10.1016/j.energy.2018.08.061

Cited by 25 publications

(6 citation statements)

References 30 publications

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“…The analytical results shown in Figure 4 can be used to quantify modeling errors associated with numerical simulation results. For example, the relative difference for Case 9 between the analytical solution shown in this figure and a finite element solution based on 1.2 million degrees of freedom [19] is less than 10 −9 . The convergence properties of the inter-well pressure difference predicted by the series solution along with increasing M and N values are quantatively investigated for the nine well layout cases.…”

Section: Applicationsmentioning

confidence: 91%

“…For all the cases, circles with positive sign represent injection wells, while those with negative sign represent production wells. Case 9 corresponds to a well array operating enhanced geothermal system [19], with four quarter production wells being located at the corners of the computational domain.…”

Section: Applicationsmentioning

confidence: 99%

“…Among the nine well layout cases shown in Figure 2, Cases 3, 4, 5 and 8 have been numerically investigated by Chen and Jiang [18], while Case 9 is corresponding to a well array operating enhanced geothermal system [19], and the other cases are used for a comparison purpose. For all the cases, the geothermal reservoir is considered as a cube of 500 m by 500 m by 500 m with a permeability value of 10 −14 m 2 , and all the wells are vertical and have a radius of 0.15 m with a total water injection rate of 50 kg/s.…”

Section: Applicationsmentioning

confidence: 99%

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Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Ding

Wang

2018

Applied Sciences

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Inter-well fluid flows through porous media are commonly encountered in the production of groundwater, oil, and geothermal energy. In this paper, inter-well porous flow inside a rectangular reservoir is solved based on the complex variable function theory combined with the method of mirror images. In order to derive the solution analytically, the inter-well flow is modeled as a 2D flow in a homogenous and isotropic porous medium. The resulted exact analytical solution takes the form of an infinite series, but it can be truncated to give high accuracy approximation. In terms of nine cases of inter-well porous flow associated with enhanced geothermal systems, the applications of the obtained analytical solution are demonstrated, and the convergence properties of the truncated series are investigated. It is shown that the convergent rate of the truncated series increases with the symmetric level of well distribution inside the reservoir, and the adoption of Euler transform significantly accelerates the convergence of alternating series cases associated with asymmetric well distribution. In principle, the analytical solution proposed in this paper can be applied to other scientific and engineering fields, as long as the involved problem is governed by 2D Laplace equation in a rectangular domain and subject to similar source/sink and boundary conditions, i.e., isolated point sources/sinks and uniform Dirichlet or homogeneous Neumann boundary conditions.

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Section: Applicationsmentioning

confidence: 91%

Section: Applicationsmentioning

confidence: 99%

Section: Applicationsmentioning

confidence: 99%

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Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Ding

Wang

2018

Applied Sciences

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“…The results demonstrated that reservoir properties and wellbore arrangement can increase the production. Ding et al presented a 2D model with a four‐to‐four flow network pattern to offer equal flow rates for each well . They found that the 2D model is more powerful to solve EGS problems than 3D numerical modeling, and an analytical solution for 2D porous flow was derived.…”

Section: Introductionmentioning

confidence: 99%

Production capacity and mining plan optimization of fault/fracture‐controlled EGS model in Gonghe Basin

Zhang

Xie

Zhang

2019

Energy Science & Engineering

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Taking full advantage of geological conditions is beneficial to reduce the development cost and enhance the exploit of geothermal energy in the Gonghe Basin. In this paper, a thermal-hydraulic coupled model is put forward to study the heat extraction for Gonghe Basin based on local thermal nonequilibrium theory considering the natural fault. An excellent heat recovery system and reasonable combination of parameters are the premise of sustainable geothermal development. Two doublet systems are introduced to investigate the efficiency of the fault/fracture-controlled EGS model.A comparative analysis is performed from the aspect of production temperature, heat extraction ratio, flow impedance, injection pressure, thermal power, and electric power. Key parameters (injection rate, injection temperature, production pressure, number of fractures, vertical interval between the two storages, and the storage permeability) are discussed. The results show that the fault-fracture-controlled doublet model is more suitable for EGS to heat transfer than the common doublet model. The doublet model at a depth of 3300-3800 m has a temperature gradient of 0.04°C/m.For fault-fracture-controlled EGS model, the optimal values are 50 kg/s, 15 MPa, 60°C, 310 m, 4 × 10 −14 m 2 , and two for injection rate, production pressure and injection temperature, vertical interval, storage permeability, and fracture number, respectively. The best well pattern layout method for the Gonghe Basin is one injection well and two production wells. The production temperature varies from 196.8°C to 192.7°C when the heat extraction ratio is 0.13 at the end of the operation. Thus, the fault-fracture-controlled EGS model can provide a mining method and advance the development of geothermal energy for the Gonghe Basin in the future. K E Y W O R D Senhanced geothermal system, fault/fracture-controlled model, local thermal nonequilibrium, parameter optimization | 2967 ZHANG et Al.

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“…A proper selection of well layout may reduce the development cost and increase the heat extraction ratio (Ding and Wang, 2018; Li and Zhu, 2018). The heat extraction performance of many kinds of well layout has been investigated currently.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation on heat extraction performance of enhanced geothermal system under the different well layout

Zhang

et al. 2019

Energy Exploration & Exploitation

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China has hundreds of thousands of oil and water wells, about 30% of which have been abandoned currently. If we can convert abandoned wells into geothermal wells, it will save lots of money and reduce drilling and completion time greatly. In this paper, six enhanced geothermal system (EGS) well layout schemes are proposed based on the utilization of abandoned oil–water wells and common oilfield well pattern. Here six common injection-production well patterns in oilfield are combined to hot dry rock (HDR) production and the heat extraction performance is simulated. The results show that the injection well number and the location of injection wells have critical influence on the heat extraction performance. Under the same total injection mass flow rate, the injection well number is the key factor and the fracture area is the secondary factor on heat extraction when the HDR energy is enough. For electricity generation, the life span is 20.2, 19.2, 19.0, 19.2, 18.2 and 13.9 years, and the heat extraction ratio is 65.83, 57.35, 65.96, 62.79, 59.30 and 43.09% from case 1 to case 6, respectively. For heating demand, the life span is 30.0, 30.0, 29.9, 30.0, 29.8, and 27.7 years, the heat extraction ratio is 78.91, 69.63, 77.02, 75.92, 72.27 and 58.94% from case 1 to case 6, respectively. The total injection mass flow rate and injection temperature also have a negative effect on the heat extraction performance. Case 1 (row parallel well layout), Case 3 (four-spot well layout) and Case 4 (five-spot well layout) are a good choice both for electricity generation and heating demand. This study provides good guidance for the selection and optimization of different EGS well layout.

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2D modeling of well array operating enhanced geothermal system

Cited by 25 publications

References 30 publications

Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Analytical Solution for 2D Inter-Well Porous Flow in a Rectangular Reservoir

Production capacity and mining plan optimization of fault/fracture‐controlled EGS model in Gonghe Basin

Numerical simulation on heat extraction performance of enhanced geothermal system under the different well layout

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