Table S1. Properties of argillaceous formations considered in the analysis a K, ms-1 b [Lab] (In situ) [6.0x10-15 – 3.0x10-14] V [3.0x10-14 6.0x10-14] H (< 10-15 – 5.8x10-14) H (4.0x10-15 – 3.0x10-14) H SS, m-1 c [Lab] (In situ) [1.0x10-6 – 3.0x10-5] (1.0x10-6 – 3.0x10-5) 4.0x10-7 – 1.3x10-6 [1.5x10-7 – 2.0x10-5] [2.0x10-7 – 3.0x10-5] 1.3x10-7 – 6.9x10-7 n K/ SS, m2s-1 Proposed mechanism(s) for anomaly Sources consulted 0.05 – 0.14 7.7x10-10 – 1.5x10-7 Tectonic compression; irreversible visco-plastic compaction Nationale Genossenschaft für die Lagerung radioaktiver Abfälle [2002]; Bruel and Küpfer [2002] 0.001 – 0.11 2.3x10-7 5.8x10-9 Unburdening by deglaciation; gas generation Intera [2011]; Nasir et al. [2011]; Normani and Sykes [2012]; Khader and Novakowski [2014]; Neuzil and Provost [2014] [2.4x10-16 – 1.5x10-12] V [9.1x10-15 – 7.6x10-13] H (5.0x10-15 – 2.1x10-12) H 1.0x10-14 – 1.0x10-12 (1.3x10-12 – 3.3x10-11) H [1.5x10-6 – 3.0x10-5] (1.0x10-7 – 6.0x10-6) 1.3x10-6 – 1.9x10-6 0.14 – 0.18 7.7x10-7 – d 5.3x10-9 Head decrease in bounding aquifers; osmosis Zhang and Rothfuchs [2004]; Cosenza et al. [2002]; Escoffier et al. [2005]; Delay et al. [2006]; Delay et al. [2007]; Distinguin and Lavanchy [2007]; Gonçalvès et al. [2004] (4.5x10-6 7.0x10-4) 4.1x10-6 – 1.8x10-5 [1.7x10-5 – 2.4x10-4] (4.1x10-6 – 2.6x10-5) 8.0x10-6 – 3.8x10-5 [7.9x10-7 – 5.3x10-5] (3.3x10-6 – 1.5x10-5) 8.0x10-6 – 1.0x10-5 0.25 – 0.37 7.2x10-8 8.0x10-6 N/A López Geta et al. [1995]; Hueckel et al. [1998] 0.30 – 0.45 2.6x10-8 – 2.5x10-6 N/A Smith et al. [2013] 0.30 – 0.32 1.0x10-9 – 1.3x10-8 Unburdening by erosion Bredehoeft et al. [1983]; Neuzil [1993] Location; unit name(s); age(s) Lithology Pressure regime Thick -ness, m Benken, Canton Zürich, Switzerland; Opalinus Clay, Arieten Marl; Jurassic Claystone, marl Anomalous overpressure 135 Bruce County, Ontario, Canada; Gull River, Coboconk, Kirkfield, Sherman Fall, Cobourg, Blue Mountain, Georgian Bay, Queenston, Manitoulin, and Cabot Head Formations; Ordovician, Lower Silurian Bure, Meuse, France; CallovoOxfordian Argillite; Jurassic Shale and minor carbonates; argillaceous limestone Anomalous underpressure 350 Claystone Anomalous overpressure 145 Burgos, Spain; Formation Dueñas, Formation San Pedro; Oligocene, Miocene Clay, minor carbonates, evaporites Upward gradient 550 Esterhazy, Saskatchewan, Canada; Pierre Shale, 1st and 2nd Speckled Shales, Belle Fourche and Joli Fou Formations; Upper Cretaceous Claystone Upward gradient 380 [1.0x10-12 – e 2.0x10-11] V Hayes, South Dakota, U.S.A.; Pierre Shale; Upper Cretaceous Claystone Anomalous underpressure 320 [6.0x10-14 – 1.0x10-11] V (9.0x10-16 – 1.0x10-10) H 1.0x10-14 – 1.0x10-13 1 Horonobe, Hokkaido, Japan; Wakkanai and Koetoi Formations; Miocene, Pliocene Siliceous and diatomaceous mudstone Downward gradient 1300 1000? Mecsek, Hungary; Boda Claystone; Upper Permian Claystone “No indication for over- or underpressures” 800 Mol, Antwerp, Belgium; Boom Clay; Lower Oligocene Silty clay Slight upward gradient 90 Taber, British Columbia, Canada; Upper Mannville and Colorado Groups; Lower to Upper Cretaceous Shale and argillaceous siltstone with thin sandstones Marl and argillite Anomalous underpressure 700 Upward gradient 240 Clay marl Anomalous underpressure 800 950 Tournemire, Aveyron, France; Domerian and Toarcian Series; Lower Jurassic Wellenberg, Canton Nidwalden, Switzerland; Palfris Formation, Vitznau Marl; Lower Cretaceous i [6.0x10-13 – 5.0x10-10] H,V (1.0x10-12 – f 1.0x10-5) -11 2.0x10 – 1.0x10-8 [1.0x10-16 – g 1.0x10-13] -13 (1.0x10 – h 1.0x10-8) H,V 1.0x10-10 – 1.0x10-8 [6.0x10-13 – 1.3x10-11] V [2.8x10-12 – 2.8x10-11] H (1.6x10-12 – 1.7x10-11) H,V [1.7x10-15 j 4.7x10-13] H, V [1.8x10-6 – 1.6x10-5] (3.0x10-6 – 1.5x10-5) 1.2x10-5 – 4.6x10-4 0.34 – 0.66 4.4x10-8 8.3x10-4 N/A Kurikame et al. [2008]; Sanada et al. [2008]; Hama et al. [2007]; Hosoya et al. [2009] 1.3x10-7 – 1.8x10-7 0.01 – 0.02 5.6x10-4 – 7.8x10-2 N/A Fedor et al. [2008]; Kovács [2001]; Mazurek et al. [2003] [8.1x10-6 – 1.8x10-5] 8.0x10-6 – 4.0x10-5 0.30 0.40 4.0x10-8 2.1x10-6 N/A Yu et al. [2011]; De Cannière et al. [2004]; ONDRAF/NIRAS [2001] 1.4x10-6 4.1x10-6 0.15 – k 0.25 4.2x10-10 – 3.4x10-7 Unburdening by deglaciation and long-term erosion Young et al. [1964]; Toth and Corbet [1986]; Corbet and Bethke [1992]; Neuzil [1994]; Bekele et al. [2003] [1.0x10-14 – 6.0x10-13] H,V (1.4x10-14 – 2.3x10-11) H 2.0x10-12 – l 2.0x10-10 -13 (1.0x10 – m 1.0x10-12) H [5.0x10-7 – 4.5x10-5] 4.3x10-7 – 1.8x10-6 0.06 – 0.08 1.1x10-6 – 4.7x10-4 N/A Boisson et al. [1998]; Boisson et al. [2001]; Bonin [1998]; Mügler et al. [2004] [3.9x10-7 – 4.7x10-6] 1.3x10-7 – 3.0x10-7 0.009 – 0.037 3.3x10-7 7.7x10-6 Unburdening by glacial erosion and deglaciation Nationale Genossenschaft für die Lagerung radioaktiver Abfälle [1997]; Rivera [1996] a Properties used in the analysis and their source shown bolded. H = along bedding; V = across bedding. c SS values were calculated from porosity using the relation of Konikow and Neuzil [2007]. d Revil et al. (2005) determined a K/SS for the Callovo-Oxfordian of ~ 2x10-7 m s-1. e K values may be too large because of insufficient confining load during tests [Smith et al., 2013]. f Fault dominated [Kurikame et al., 2008]. b 2 g Core not fully saturated [Fedor et al., 2008]. Bulk rock is fractured [Kovács, 2001]. i Boom Clay thickness excludes ~ 10 m at formation base that is higher K. j Taber K values are from “argillaceous rocks from the lower Cretaceous of western Canada” [Young et al., 1964] cored in the vicinity of Taber. k Taber porosity from Neuzil [1994] estimate. l “Hydraulically active” fractures noted in tunnel [Boisson et al., 1998, 2001]. m Wellenberg K range is derived from a K-depth model generated from measured K values in boreholes SB1, SB3, SB4, SB4a/v, and SB4a/s (Nationale Genossenschaft für die Lagerung radioaktiver Abfälle, 1997]. h 3