Mouchet, Anne ; Université de Liège > Département d'astrophys., géophysique et océanographie (AGO) > Labo de physique atmosphérique et planétaire (LPAP)
Cornaton, Fabien
Deleersnijder, Eric
Delhez, Eric ; Université de Liège > Département d'aérospatiale et mécanique > Mathématiques générales
Language :
English
Title :
Partial ages: diagnosing transport processes by means of multiple clocks.
Publication date :
2016
Journal title :
Ocean Dynamics
ISSN :
1616-7341
eISSN :
1616-7228
Publisher :
Springer Science & Business Media B.V., Heidelberg, Germany
Beckers JM, Delhez E, Deleersnijder E (2001) Some properties of generalized age-distribution equations in fluid dynamics. SIAM J Appl Math 61:1526–1544
Bencala K, Walters R (1983) Simulation of solute transport in a mountain pool-and-riffle stream: a transient storage model. Water Resour Res 19(3):718–724
Bendtsen J, Hansen JL (2013) A model of life cycle, connectivity and population stability of benthic macro-invertebrates in the North Sea/Baltic Sea transition zone. Ecol Model 267:54– 65
Bendtsen J, Gustafsson KE, Soderkvist J, Hansen JLS (2009) Ventilation of bottom water in the North Sea-Baltic Sea transition zone. J Mar Syst 75:138–149
Bolin B, Rodhe H (1973) A note on the concepts of age distribution and residence time in natural reservoirs. Tellus 25:58– 62
Campin J-M, Goosse H (1999) Parameterization of density-driven downsloping flow for a coarse-resolution ocean model in z-coordinate. Tellus 51:421–430
Campin J-M, Fichefet T, Duplessy J-C (1999) Problems with using radiocarbon to infer ocean ventilation rates for past and present climates. Earth Planet Sci Lett 16(1):17–24
Chen X (2007) A laterally averaged two-dimensional trajectory model for estimating transport time scales in the Alafia River estuary, Florida. Hydrodynamic Control Aquat Ecosyst Process 75(3):358–370
Cornaton F (2012) Transient water age distributions in environmental flow systems: the time-marching Laplace transform solution technique. Water Resour. Res 48:W03524
de Brye B, de Brauwere A, Gourgue O, Delhez EJM, Deleersnijder E (2012) Water renewal timescales in the Scheldt Estuary. J Mar Syst 94:74–86
Deleersnijder E (2015) Can CART’s classical age distribution function be derived from partial age distribution function? Working paper available at http://hdl.handle.net/2078.1/162261, p 17
Deleersnijder E, Campin J-M (1995) On the computation of the barotropic mode of free-surface world ocean model. Ann Geophys 13:675–688
Deleersnijder E, Delhez EJM (2004) Symmetry and asymmetry of water ages in a one-dimensional flow. J Mar Syst 48:61– 66
Deleersnijder E, Campin J M, Delhez EJM (2001) The concept of age in marine modelling I. Theory and preliminary model results. J Mar Syst 28:229–267
Deleersnijder E, Delhez EJM, Crucifix M, Beckers JM (2001) On the symmetry of the age field of a passive tracer released into a one-dimensional fluid flow by a point source. Bull Soc R Sci Liége 70:5–21
Deleersnijder E, Mouchet A, Delhez EJM, Beckers JM (2002) Transient behaviour of water ages in the World Ocean. Math Comput Model 36:121–127
Deleersnijder E, Mouchet A, de Brauwere A, Delhez EJM, Hanert E (2014) The concept of partial age, a generalisation of the notion of age: theory, idealised illustrations and realistic applications. JONSMOD 2014 Workshop (Brussels, 12-14 May 2014), available on the web at http://hdl.handle.net/2078.1/153807 or https://publicwiki.deltares.nl/display/JONSMOD/Presentations+2014
Delhez EJM, Deleersnijder E (2002) The concept of age in marine modelling II. Concentration distribution function in the English Channel and the North Sea. J Mar Syst 31:279– 297
Delhez EJM, Campin J-M, Hirst AC, Deleersnijder E (1999) Toward a general theory of the age in ocean modelling. Ocean Model 1:17–27
Delhez EJM, Lacroix G, Deleersnijder E (2004) The age as a diagnostic of the dynamics of marine ecosystem models. Ocean Dyn 54:221–231
DeVries T, Primeau F (2010) An improved method for estimating water-mass ventilation age from radiocarbon data. Earth Planet Sci Lett 295:367–378
Du J, Shen J (2015) Decoupling the influence of biological and physical processes on the dissolved oxygen in the Chesapeake Bay. J Geophys Res Oceans 120(1):78–93
England MH (1995) The age of water and ventilation timescales in a global ocean model. J Phys Oceanogr 25:2756–2777
England MH, Maier-Reimer E (2001) Using chemical tracers to assess ocean models. Rev Geophys 39 (1):29–70
Ginn TR (1999) On the distribution of multicomponent mixtures over generalized exposure time in subsurface flow and reactive transport: foundations, and formulations for groundwater age, chemical heterogeneity, and biodegradation. Water Resour Res 35(5):1395–1407
Gnanadesikan A, Russell JL, Zeng F (2007) How does ocean ventilation change under global warming? Ocean Sci 3(1):43–53
Goode DJ (1996) Direct simulation of groundwater age. Water Resour Res 32:289–296
Gourgue O, Deleersnijder E, White L (2007) Toward a generic method for studying water renewal, with application to the epilimnion of Lake Tanganyika. Estuar Coast Shelf Sci 74:628– 640
Haine TWN, Hall TM (2002) a generalized transport theory: water-mass composition and age. J Phys Oceanogr 32:1932–1946
Hall TM, Haine TWN (2004) Tracer age symmetry in advective-diffusive flows. J Mar Syst 48:51–59
Hall TM, Plumb RA (1994) Age as a diagnostic of stratospheric transport. J Geophys Res-Atmos 99:1059–1070
Holzer M, Hall TM (2000) Transit-time and tracer-age distributions in geophysical flows. J Atmos Sci 57:3539–3558
Khatiwala S, Primeau F, Hall T (2009) Reconstruction of the history of anthropogenic CO2 concentrations in the ocean. Nature 462(7271):346–349
Kumar A, Dalal D (2010) Analysis of solute transport in rivers with transient storage and lateral inflow: an analytical study. Acta Geophysica 58(6):1094–1114
Lewandowski R (1997) Analyse mathématique et océnographie, masson Edition. No. 39 in Recherches en mathématiques appliquées. Paris
Liu Z, Wang H, Guo X, Wang Q, Gao H (2012) The age of Yellow River water in the Bohai Sea. J Geophys Res Oceans 117(C11):C11006
Meier HEM (2007) Modeling the pathways and ages of inflowing salt- and freshwater in the Baltic Sea. Estuar Coast Shelf Sci 74:610–627
Mercier C, Delhez EJM (2007) Diagnosis of the sediment transport in the Belgian Coastal Zone. Estuar Coast Shelf Sci 74:670–683
Munk W (1966) Abyssal recipes. Deep Sea Res Oceanogr Abstr 13:707–730
Plus M, Dumas F, Stanisiére J-Y, Maurer D (2009) Hydrodynamic characterization of the Arcachon Bay, using model-derived descriptors. 100 Years of Research within the Bay of Biscay XI International Symposium on Oceanography of the Bay of Biscay 29(8):1008–1013
Primeau F (2005) Characterizing transport between the surface mixed layer and the ocean interior with a forward and adjoint global ocean transport model. J Phys Oceanogr 35:545–564
Ren Y, Lin B, Sun J, Pan S (2014) Predicting water age distribution in the Pearl River Estuary using a three-dimensional model. J Mar Syst 139(0):276–287
Rukavicka J (2011) On generalized Dyck paths. Electron J Comb 18(1):P40
Runkel R, Chapra S (1993) An efficient numerical solution of the transient storage equations for solute transport in small streams. Water Resour Res 29(1):211–215
Shaffer G, Sarmiento J (1995) Biogeochemical cycling in the global ocean: 1. a new, analytical model with continuous vertical resolution and high-latitude dynamics. J Geophys Res 100:2659–2672
Takeoka H (1984) Fundamental concepts of exchange and transport time scales in a coastal sea. Cont Shelf Res 3:311–326
Thiele G, Sarmiento J (1990) Tracer dating and ocean ventilation. J Geophys Res 95(C6):9377–9391
Villa M, Lopez-Gutierrez J, Suh K-S, Min B-I, Periañez R (2015) The behaviour of 129i released from nuclear fuel reprocessing factories in the North Atlantic Ocean and transport to the Arctic assessed from numerical modelling. Mar Pollut Bull 90:15– 24
Wagner B, Harvey J (1997) Experimental design for estimating parameters of rate-limited mass transfer: analysis of stream tracer studies. Water Resour Res 32(8):2441–2451
Zimmerman JTF (1976) Mixing and flushing of tidal embayments in the western Dutch Wadden Sea. Part I: Distribution of salinity and calculation of mixing time scales. Neth J Sea Res 10:149– 191