Analytical solution to the conformable fractional Lane-Emden type equations arising in astrophysics
In: Scientific African, Band 8, S. e00386
ISSN: 2468-2276
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In: Scientific African, Band 8, S. e00386
ISSN: 2468-2276
In: International Journal of Advanced Research in Engineering and Technology, Band 11(6), Heft 2020
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In: HELIYON-D-24-08832
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In: Management Science forthcoming, https://doi.org/10.1287/mnsc.2021.4194
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In: Progress in nuclear energy: the international review journal covering all aspects of nuclear energy, Band 43, Heft 1-4, S. 429-436
ISSN: 0149-1970
In: Progress in nuclear energy: the international review journal covering all aspects of nuclear energy, Band 33, Heft 3, S. 289-300
ISSN: 0149-1970
In: Environmental science and pollution research: ESPR, Band 29, Heft 58, S. 87114-87131
ISSN: 1614-7499
Displaced faults crossing the reservoir could significantly increase the induced earthquake frequency in geo‐energy projects. Understanding and predicting the stress variation in such cases is essential to minimize the risk of induced seismicity. Here, we adopt the inclusion theory to develop an analytical solution for the stress response to pore pressure variations within the reservoir for both permeable and impermeable faults with offset ranging from zero to the reservoir thickness. By analyzing fault stability changes due to reservoir pressurization/depletion under different scenarios, we find that (1) the induced seismicity potential of impermeable faults is always larger than that of permeable faults under any initial and injection conditions—the maximum size of the fault undergoing failure is 3–5 times larger for impermeable than for permeable faults; (2) stress concentration at the corners results in the occurrence of reversed slip in normal faults with a normal faulting stress regime; (3) while fault offset has no impact on the slip potential for impermeable faults, the slip potential increases with the offset for permeable faults, which indicates that non‐displaced permeable faults constitute a safer choice for site selection; (4) an impermeable fault would rupture at a lower deviatoric stress, and at a smaller pressure buildup than a permeable one; and (5) the induced seismicity potential is overestimated and the injectivity underestimated if the stress arching (i.e., the poromechanical coupling) is neglected. This analytical solution is a useful tool for site selection and for supporting decision making during the lifetime of geo‐energy projects. ; H. Wu acknowledges the financial support received from the AGAUR (Generalitat de Catalunya) through the ''grant for universities and research centers for the recruitment of new research personnel (FI‐2019)''. V. Vilarrasa acknowledges funding from the European Research Council (ERC) under the European Union's Horizon 2020 Research and Innovation Programme through the Starting Grant GEoREST (www.georest.eu), Grant agreement no. 801809. V. Vilarrasa also acknowledges support by the Spanish Ministry of Science and Innovation (Project CEX2018‐000794‐S). S.D. Simone acknowledges financial support from the SAD2018 project funded by the Brittany Region and from ANR LabCom Project eLabo ANR‐17‐LCV2‐0012. M. Saaltink acknowledges financial support from the "HEATSTORE" project (170153–44011), which has been subsidized through the ERANET Cofund GEOTHERMICA (Grant agreement no. 731117), from the European Commission and the Spanish Ministry of Science, Innovation and Universities (PCI2018‐092933). F. Parisio acknowledges funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—project number PA 3451/1‐1. The authors thank Tomas Aquino for his advice on the integral solutions. ; Peer reviewed
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Displaced faults crossing the reservoir could significantly increase the induced earthquake frequency in geo-energy projects. Understanding and predicting the stress variation in such cases is essential to minimize the risk of induced seismicity. Here, we adopt the inclusion theory to develop an analytical solution for the stress response to pore pressure variations within the reservoir for both permeable and impermeable faults with offset ranging from zero to the reservoir thickness. By analyzing fault stability changes due to reservoir pressurization/depletion under different scenarios, we find that (1) the induced seismicity potential of impermeable faults is always larger than that of permeable faults under any initial and injection conditions—the maximum size of the fault undergoing failure is 3–5 times larger for impermeable than for permeable faults; (2) stress concentration at the corners results in the occurrence of reversed slip in normal faults with a normal faulting stress regime; (3) while fault offset has no impact on the slip potential for impermeable faults, the slip potential increases with the offset for permeable faults, which indicates that non-displaced permeable faults constitute a safer choice for site selection; (4) an impermeable fault would rupture at a lower deviatoric stress, and at a smaller pressure buildup than a permeable one; and (5) the induced seismicity potential is overestimated and the injectivity underestimated if the stress arching (i.e., the poromechanical coupling) is neglected. This analytical solution is a useful tool for site selection and for supporting decision making during the lifetime of geo-energy projects. ; H. Wu acknowledges the financial support received from the AGAUR (Generalitat de Catalunya) through the ''grant for universities and research centers for the recruitment of new research personnel (FI-2019)". V. Vilarrasa acknowledges funding from the European Research Council (ERC) under the European Union's Horizon 2020 Research and Innovation Programme through the Starting Grant GEoREST (www.georest.eu), Grant agreement no. 801809. V. Vilarrasa also acknowledges support by the Spanish Ministry of Science and Innovation (Project CEX2018- 000794-S). S.D. Simone acknowledges financial support from the SAD2018 project funded by the Brittany Region and from ANR LabCom Project eLabo ANR-17-LCV2-0012. M. Saaltink acknowledges financial support from the "HEATSTORE" project (170153–44011), which has been subsidized through the ERANET Cofund GEOTHERMICA (Grant agreement no. 731117), from the European Commission and the Spanish Ministry of Science, Innovation and Universities (PCI2018-092933). F. Parisio acknowledges funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)— project number PA 3451/1-1. The authors thank Tomas Aquino for his advice on the integral solutions. ; Peer Reviewed ; Postprint (published version)
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In: Proceedings of the Estonian Academy of Sciences, Band 64, Heft 3, S. 422
ISSN: 1736-7530
In: Water and environment journal, Band 38, Heft 2, S. 279-291
ISSN: 1747-6593
AbstractThe implementation of rainwater harvesting (RWH) has emerged as a key strategy to cope with the water crisis in urban areas. However, the required design parameters of the RWH system in different buildings vary widely because of the differences in architectural characteristics. In this paper, the relationships between the building characteristics parameters and the optimal tank (Tc) capacity are investigated by simulating the RWH system for more than 120 buildings at different locations in Guangzhou. Explicit expressions relating the optimal storage volume of RWH systems to building characteristics are derived based on nonlinear regression analysis. A set of bivariate exponential equations for estimating the optimal tank size under different building conditions was obtained. The model has a MER of less than 10% for buildings with a C/D ratio between 17.5 and 85. In Guangzhou, the unit cost of an RWH system can be reduced to CNY 2.62/m2 with optimally designed tanks.
In: Journal of economic dynamics & control, Band 130, S. 104154
ISSN: 0165-1889
A ship advancing in restricted waters may cause a change in the surrounding velocity field, which in turn results in the hydrodynamic pressure field according to the variations in the ship speed. Accurate prediction of ship hydrodynamic pressure fields in restricted waters is therefore essential and important in the military and engineering fields. Based on the potential flow theory and the thin-ship assumption, dividing complex restricted waters with varying depths into the inner and outer domains with constant depths, a mathematical modeling method is developed and carried out for analyzing and solving the partial differential equations consisting of the governing equation with a dispersion effect, initial and boundary conditions, then the analytical solution of hydrodynamic pressure field caused by a ship advancing in complex restricted waters is obtained. The continuity of the analytical solution is confirmed and the correctness of the analytical solution is validated by simplifying to a simple water and comparing with available data. Moreover, the mathematical modeling method can be extended to study the hydrodynamic problems of ships in more complex waters.
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In: Progress in nuclear energy: the international review journal covering all aspects of nuclear energy, Band 50, Heft 7, S. 747-756
ISSN: 0149-1970
In: HELIYON-D-22-32593
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