Dispersion by wind of CO2 leaking from underground storage: Comparison of analytical solution with simulation |
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| Authors: | Katherine T Schwarz Tad W Patzek Dmitriy B Silin |
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| Institution: | 1. University of California, Berkeley, Department of Physics, Berkeley, CA 94720, USA;2. University of California, Berkeley, Department of Civil and Environmental Engineering, Berkeley, CA 94720, USA;3. Earth Sciences Division, Lawrence Berkeley National Laboratory, University of California, 1 Cyclotron Road, MS90-1116, Berkeley, CA 94720, USA;1. Sorbonne Universit?es, UPMC Univ Paris 06, UMR 7190, Institut Jean le Rond d’Alembert, F-75005, Paris, France;2. CNRS, UMR 7190, Institut Jean le Rond d’Alembert, F-75005, Paris, France;3. DIN-Laboratorio di Montecuccolino, Universit‘a di Bologna, Via dei Colli 16, 40136 Bologna, Italy;1. Istituto Nazionale di Geofisica e Vulcanologia (INGV), Via di Vigna Murata 605, 00143 Roma, Italy;2. Universitat Politècnica de Catalunya, Carrer Jordi Girona 31, 08034 Barcelona, Spain;3. Amphos21 Consulting S.L., Passeig de Garcia Fària 49-51, 08019 Barcelona, Spain;4. Université Toulouse III, Paul Sabatier, Route de Narbonne 118, 31062 Toulouse, France;1. Environmental Department, CIEMAT, Avda. Complutense 40, 28040 Madrid, Spain;2. University of Cantabria, C/ Cardenal Herrera Oria S/n, 39011 Santander, Spain;3. Technical University of Madrid (UPM), C/ Alenza 4, 28003 Madrid, Spain;4. Nugaal University, Lasanod, Somalia;1. Technical University of Madrid (UPM), Madrid, Spain;2. CNR-IGG Institute of Geosciences and Earth Resources, Pisa, Italy;3. Department of Earth Sciences, Florence, Italy;4. CNR-IGG Institute of Geosciences and Earth Resources, Florence, Italy;1. Cloud Computing and System Integration Division, National Center for High-Performance Computing, Taichung 40763, Taiwan;2. Department of Civil Engineering, National Taiwan University, Taipei 10617, Taiwan;1. Member of Young Researchers Club, Islamic Azad University, Sari, Iran;2. Mining Engineering Department, Faculty of Engineering, Tarbiat Modares University, Tehran 14115-111, Iran;3. Department of Civil Engineering, University of Texas at Arlington, Arlington, TX 76019-0308, USA |
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| Abstract: | The concentration of CO2 in air near the ground needs to be predicted to assess environmental and health risks from leaking underground storage. There is an exact solution to the advection–diffusion equation describing trace gases carried by wind when the wind profile is modeled with a power-law dependence on height. The analytical solution is compared with a numerical simulation of the coupled air–ground system with a source of CO2 underground at the water table. The two methods produce similar results far from the boundaries, but the boundary conditions have a strong effect; the simulation imposes boundary conditions at the edge of a finite domain while the analytic solution imposes them at infinity. The reverse seepage from air to ground is shown in the simulation to be very small, and the large difference between time scales suggests that air and ground can be modeled separately, with gas emissions from the ground model used as inputs to the air model. |
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