H. C. Urey, Oxygen Isotopes in Nature and in the Laboratory, Science, vol.108, issue.2810, pp.489-496, 1948.
DOI : 10.1126/science.108.2810.489

P. N. Pearson, Oxygen isotopes in foraminifera: overview and historical review, Paleontol. Soc. Pap, vol.18, pp.1-38, 2012.

T. F. Anderson and M. A. Arthur, Stable isotopes of oxygen and carbon and their application to sedimentologic and paleoenvironmental problems Stable Isotopes in Sedimentary Geology, SEPM Short Course, vol.10, issue.1, pp.1-15, 1983.

J. Chappell and N. J. Shackleton, Oxygen isotopes and sea level, Nature, vol.21, issue.6093, pp.137-140, 1986.
DOI : 10.1016/S0031-0182(85)80016-X

H. J. Spero, J. Bijma, D. W. Lea, and B. E. Bemis, Effect of seawater carbonate concentration on foraminiferal carbon and oxygen isotopes, Nature, vol.56, issue.6659, pp.497-500, 1997.
DOI : 10.1016/0016-7037(92)90143-7

S. M. Savin, The History of the Earth's Surface Temperature During the Past 100 Million Years, Annual Review of Earth and Planetary Sciences, vol.5, issue.1, pp.319-355, 1977.
DOI : 10.1146/annurev.ea.05.050177.001535

J. Zachos, M. Pagani, L. Sloan, E. Thomas, and K. Billups, Trends, Rhythms, and Aberrations in Global Climate 65 Ma to Present, Science, vol.292, issue.5517, pp.686-693, 2001.
DOI : 10.1126/science.1059412

B. S. Cramer, J. R. Toggweiler, J. D. Wright, M. W. Katz, and K. G. Miller, Ocean overturning since the Late Cretaceous: Inferences from a new benthic foraminiferal isotope compilation, Paleoceanography, vol.451, issue.6, p.4216, 2009.
DOI : 10.1038/nature06588

O. Friedrich, R. D. Norris, and J. Erbacher, Evolution of middle to Late Cretaceous oceans???A 55 m.y. record of Earth's temperature and carbon cycle, Geology, vol.40, issue.2, pp.107-110, 2012.
DOI : 10.1130/G32701.1

J. C. Zachos, L. D. Stott, and K. C. Lohmann, Evolution of Early Cenozoic marine temperatures, Paleoceanography, vol.6, issue.(17), Spring Me, pp.353-387, 1994.
DOI : 10.1029/90PA01882

D. 'hondt, S. Arthur, and M. A. , Late Cretaceous Oceans and the Cool Tropic Paradox, Science, vol.271, issue.5257, pp.1838-1841, 1998.
DOI : 10.1126/science.271.5257.1838

J. S. Killingley, Effects of diagenetic recrystallization on 18O/16O values of deep-sea sediments, Nature, vol.283, issue.2, pp.594-597, 1983.
DOI : 10.1038/301594a0

D. P. Schrag, Effects of diagenesis on the isotopic record of late paleogene tropical sea surface temperatures, Chemical Geology, vol.161, issue.1-3, pp.215-224, 1999.
DOI : 10.1016/S0009-2541(99)00088-1

R. Kozdon, O and Mg/Ca analyses of diagenetic and planktic foraminiferal calcite preserved in a deep-sea record of the Paleocene-Eocene thermal maximum, Paleoceanography, vol.34, issue.9, pp.517-528, 2013.
DOI : 10.1130/G22522.1

K. M. Edgar, E. Anagnostou, P. N. Pearson, and G. L. Foster, Assessing the impact of diagenesis on ?? 11 B, ?? 13 C, ?? 18 O, Sr/Ca and B/Ca values in fossil planktic foraminiferal calcite, Geochimica et Cosmochimica Acta, vol.166, pp.189-209, 2015.
DOI : 10.1016/j.gca.2015.06.018

G. P. Lohmann, A model for variation in the chemistry of planktonic foraminifera due to secondary calcification and selective dissolution, Paleoceanography, vol.5, issue.4, pp.445-457, 1995.
DOI : 10.1029/PA005i004p00581

P. N. Pearson, Warm tropical sea surface temperatures in the Late Cretaceous and Eocene epochs, Nature, vol.47, issue.6855, pp.481-487, 2001.
DOI : 10.1016/0016-7037(83)90232-6

P. A. Wilson and R. D. Norris, Warm tropical ocean surface and global anoxia during the mid-Cretaceous period, Nature, vol.14, issue.6845, pp.425-429, 2001.
DOI : 10.1029/1999PA900034

M. Huber and L. Sloan, Heat transport, deep waters, and thermal gradients: Coupled simulation of an Eocene greenhouse climate, Geophysical Research Letters, vol.9, issue.18, pp.3481-3484, 2001.
DOI : 10.1029/93PA03266

URL : http://onlinelibrary.wiley.com/doi/10.1029/2001GL012943/pdf

P. Valdes, Built for stability, Nature Geoscience, vol.23, issue.7, pp.414-416, 2011.
DOI : 10.1175/2009JCLI3113.1

H. C. Urey, A. Lowenstam, S. Epstein, and C. Mckinney, MEASUREMENT OF PALEOTEMPERATURES AND TEMPERATURES OF THE UPPER CRETACEOUS OF ENGLAND, DENMARK, AND THE SOUTHEASTERN UNITED STATES, Geological Society of America Bulletin, vol.62, issue.4, pp.399-416, 1951.
DOI : 10.1130/0016-7606(1951)62[399:MOPATO]2.0.CO;2

V. Mavromatis, The continuous re-equilibration of carbon isotope compositions of hydrous Mg carbonates in the presence of cyanobacteria, Chemical Geology, vol.404, pp.41-51, 2015.
DOI : 10.1016/j.chemgeo.2015.03.016

URL : https://hal.archives-ouvertes.fr/insu-01462952

P. Hoppe, S. Cohen, and A. Meibom, NanoSIMS: Technical Aspects and Applications in Cosmochemistry and Biological Geochemistry, Geostandards and Geoanalytical Research, vol.17, issue.Suppl S2, pp.111-134, 2013.
DOI : 10.1007/s11160-006-9036-4

E. Ruiz-agudo, C. V. Putnis, and A. Putnis, Coupled dissolution and precipitation at mineral???fluid interfaces, Chemical Geology, vol.383, pp.132-146, 2014.
DOI : 10.1016/j.chemgeo.2014.06.007

A. Putnis, Why Mineral Interfaces Matter, Science, vol.46, issue.9, pp.1441-1442, 2014.
DOI : 10.1021/es300403n

T. F. Anderson, Self-diffusion of carbon and oxygen in calcite by isotope exchange with carbon dioxide, Journal of Geophysical Research, vol.62, issue.1, pp.3918-3932, 1969.
DOI : 10.1130/0016-7606(1951)62[399:MOPATO]2.0.CO;2

J. R. Farver and R. A. Yund, Oxygen grain boundary diffusion in natural and hot-pressed calcite aggregates, Earth and Planetary Science Letters, vol.161, issue.1-4, pp.189-200, 1998.
DOI : 10.1016/S0012-821X(98)00150-2

S. L. Stipp, J. Konnerup-madsen, K. Franzreb, A. Kulik, and H. J. Mathieu, Spontaneous movement of ions through calcite at standard temperature and pressure, Nature, vol.396, issue.6709, pp.356-359, 1998.
DOI : 10.1038/24597

J. P. Cuif, Y. Dauphin, and J. Sorauf, Biominerals and Fossils Through Time, 2011.
DOI : 10.1017/CBO9780511781070

S. Iwasaki, tests (planktic foraminifera) by X-ray microcomputed tomography, Paleoceanography, vol.4, issue.5-7, pp.317-331, 2015.
DOI : 10.1029/PA004i002p00181

URL : http://onlinelibrary.wiley.com/doi/10.1002/2014PA002639/pdf

A. Malinverno and E. A. Martinez, The effect of temperature on organic carbon degradation in marine sediments, Scientific Reports, vol.94, issue.1, p.17861, 2015.
DOI : 10.1002/2013EO450001

D. P. Schrag, G. Hampt, and D. W. Murray, Pore Fluid Constraints on the Temperature and Oxygen Isotopic Composition of the Glacial Ocean, Science, vol.10, issue.3, pp.1930-1932, 1996.
DOI : 10.2307/3038066

T. D. Herbert, L. C. Peterson, K. T. Lawrence, and Z. Liu, Tropical Ocean Temperatures Over the Past 3.5 Million Years, Science, vol.2, issue.5735, pp.1350-1354, 2010.
DOI : 10.1038/ngeo520

J. Van-der-lee, L. De-windt, and C. Tutorial, Updated for Version 3.0. Manual Nr, 2002.

T. Wolery, Software package for geochemical modeling of aqueous systems: Package overview and installation guide (version 7.0) Report UCRL- MA-210662, 1992.

E. G. Samson, J. Lemaire, and J. J. Beaudoin, Modeling chemical activity effects in strong ionic solutions, Computational Materials Science, vol.15, issue.3, pp.285-294, 1999.
DOI : 10.1016/S0927-0256(99)00017-8

D. R. Cole and S. Chakraborty, Rates and Mechanisms of Isotopic Exchange, Reviews in Mineralogy and Geochemistry, vol.43, issue.1, pp.83-223, 2001.
DOI : 10.2138/gsrmg.43.1.83

E. B. Watson and E. F. Baxter, Diffusion in solid-Earth systems, Earth and Planetary Science Letters, vol.253, issue.3-4, pp.307-327, 2007.
DOI : 10.1016/j.epsl.2006.11.015

J. Crank, The Mathematics of Diffusion, 1975.

R. J. Leveque, Finite difference methods for ordinary and partial differential equations: steady-state and time-dependent problems, p.328, 2007.
DOI : 10.1137/1.9780898717839

N. Lhomme, G. K. Clarke, and C. Ritz, Global budget of water isotopes inferred from polar ice sheets, Geophysical Research Letters, vol.25, issue.20, p.205002, 2005.
DOI : 10.1029/2005GL023774

URL : https://hal.archives-ouvertes.fr/insu-00374638

B. S. Cramer, K. G. Miller, P. J. Barrett, and J. Wright, O and Mg/Ca) with sea level history, Journal of Geophysical Research, vol.170, issue.1???2, p.12023, 2011.
DOI : 10.1016/S0031-0182(01)00226-7