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Estimation of characteristic relations for unsaturated flow through rock fractures Jerker Jarsjö Department of Physical Geography and Quaternary Geology, Stockholm University, 106 91 Stockholm, Sweden. jerker.jarsjo@natgeo.su.se
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Areas of fundamental research (1)Characteristics of multiphase flow in fractured rock under different ambient conditions (2)Dependence on quantifiable fracture characteristics (aperture distribution, connectivities) (3)Multiphase flow in soil and fractured rock: Similarities and differences. - Are parameter translations of characteristic curves possible? Relevance?
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Useful for prediction of… Conductivity of gas or non-aqueous phase liquids (NAPLS) in fractured media Immobilization and trapping of NAPLS in fractured media Application examples: Storage of waste /oil in bedrock Storage of carbon dioxide storage in deep saline aquifers and potential return flows Movement of accidental oil spills in fractured media (Granite, karst, glaciers)
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Experimental determination of pressure – saturation (- conductivity) – relations in soil A B C D E Step A-E: succesively increased underpressure (- ) * S = Vw/Vtot (Vw=vol. water, Vtot=total vol.) Water saturation, S* atmospheric pressure
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Experimental determination of pressure – saturation (- conductivity) – relations in soil A B C D E Step A-E: succesively increased underpressure (- ) Water saturation, S* atmospheric pressure underpressure (- m.water column ) S =n 0 The water saturation is a function of the underpressure, i.e. S= S( ). Straightforward to determine experimentally A B C D E
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Empirical vG relation for h<0 K(h)=K s for h 0 where, p c =capillary pressure , n, m = fitting parameters
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Empirical vG relation for h<0 K(h)=K s for h 0 where, p c =capillary pressure , n, m = fitting parameters Related to bubble pressure Related to width of soil psd m=0.5 usually assumed
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The cubic law for water flow in a fracture Single fractures: relation between aperture ( a ) and fracture transmissivity T: a a Direction of flow ”Cubic law” ( =density, och µ =viscosity, and g=graviational constant) Cubic law: exact relation Cubic law: approximately true
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Fracture aperture relation 1 h 5 h48 h Darker areas=wider aperture; gas=white (SKB TR-98-17 & 01-13 ) The fracture aperture distribution (and the mean aperture) can be measured in situ or in the lab
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Distribution of water and air in a fracture Water occupies the tighter parts, and air the wider parts. Similar to the porous medium case water air (gas) cut-off aperture (a c ) assumption a c =2 w / p c
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Fracture aperture relation For unsaturated fracture flow Predict relative fracture transmissivity through consideration of the cubic law (TR-98-17) T s T us (w) us=unsaturated s=saturated w=water
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Fitting procedure
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Considered T-data T-values estimated from hydraulic testing (R-07-48) Estimation of corresponding hydraulic aperture and mean aperture
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(b)
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Conclusions Simple patterns emerge from the matching of seemingly complex curves Fracture roughness related to the n-value of the van Genuchten-formulation: the rougher the fracture, the lower the matching n-value Implies that characteristic curves derived from measurable aperture statistics can be described with soil-based van Genuchten parameters (standard description in most computer codes)
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Geological storage in deep saline aquifers Feasable if return flows are sufficiently small (min 95% retained after 100 years) Cap rock: confining unit – low permeability Storage formation: high permeability high porosity
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Storage potential in Sweden and investigation site
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Target: sandstone aquifer at 1670 m depth
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Representation in the TOUGH2 code Stratigraphic uncertainty
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Parameter value uncertainty …confidence interval for k
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Uncertainties addressed through scenario analyses + simulations for different injection pressures Considered scenarios: A) Base case B) No upper barrier (thin claystone layer not continuous) C) High permeability (95% confidence limit) D) Combination B+C
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Resulting plume migration (1000 days) Volumetric gas saturation [-]
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Salt precipitation – injectivity effects Permeability reduction factor k/k 0 [-]
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Summary of plume behaviour
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Conclusions Stratigraphic uncertainty leads to large differences in predicted CO 2 storage in target formation Parameter uncertainty (permeability) has small impact on CO 2 storage predictions but affects injectivity Salt precipitation at the border of the target formation affects CO 2 injectivity At low injection rates, salt precipitates within the target formation, decreasing its storage ability Journal reference: Chasset, C., Jarsjö, J., Erlström, M., Cvetkovic, V. and Destouni, G., 2011. Scenario simulations of CO 2 injection feasibility, plume migration and storage in a saline aquifer, Scania, Sweden. International Journal of Greenhouse Gas Control, 5(5), 1303-1318.
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March 15, 2012 Airplane crash and kerosene spill on top of Kebnekaise mountain (Rabots glacier) Sweden
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2101.3 m2096.3 m
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PROCESSES DETERMINING THE FATE OF THE HYDROCARBON POLLUTION
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Sampling of water 1/week + passive 15, 18 July traced og naftalen & PAH in Rabot jokk 13-14 July 160 mm precipitation (TRS )
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