Campbell, A. J., E. D. Waddington, and S. G. Warren (2014), Refugium for surface life on Snowball Earth in a nearly enclosed sea? A numerical solution for sea-glacier invasion through a narrow strait, J. Geophys. Res. Oceans, 119, 2679–2690, doi:10.1002/2013JC009703.

Figure 2. Contours represent the ratio of penetration length to channel width L/W as a function of net sublimation rate _b (mm of ice equivalent per year)and surface ice temperature Ts for a sea glacier with an initial thickness H05650 m, entering an inland sea.  (b) Results from Shallow Shelf Approximation numerical model developed here. 

Temperature,,,,,,,,,,,,,,,,,,,,
Sublimation rate -->,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20
-50,20.268,14.49,11.955,10.46,9.4277,8.7136,8.1467,7.6928,7.3235,7.0108,6.7051,6.5048,6.2386,6.1311,5.9636,5.752,5.6614,5.5846,5.4864,5.384
-48,20.856,14.904,12.311,10.777,9.7399,8.983,8.4009,7.9372,7.5572,7.2355,6.96,6.6785,6.513,6.2527,6.1646,5.9811,5.8223,5.7825,5.649,5.567
-46,21.444,15.341,12.661,11.092,10.032,9.2554,8.6584,8.1832,7.7903,7.4633,7.1864,6.8985,6.6447,6.5268,6.2836,6.1162,6.0385,5.9606,5.7389,5.7457
-44,22.041,15.774,13.021,11.406,10.326,9.5306,8.9189,8.4307,8.0294,7.6945,7.4084,7.1665,6.8835,6.6565,6.5062,6.4159,6.2958,6.0526,6.0503,5.9405
-42,22.636,16.205,13.377,11.737,10.621,9.807,9.1809,8.6822,8.2719,7.9305,7.635,7.3865,7.1561,6.8644,6.7396,6.644,6.5036,6.3675,6.2143,6.1122
-40,23.229,16.64,13.743,12.06,10.908,10.081,9.4462,8.9364,8.5156,8.17,7.8726,7.6091,7.3896,7.1652,6.9767,6.8406,6.7053,6.4418,6.423,6.3286
-38,23.823,17.076,14.112,12.393,11.222,10.364,9.714,9.1868,8.7629,8.4112,8.1037,7.8448,7.6132,7.3993,7.154,7.0186,6.8683,6.7225,6.6384,6.5026
-36,24.42,17.512,14.494,12.719,11.524,10.653,9.9848,9.4509,9.0179,8.6528,8.333,8.0755,7.8398,7.6318,7.4385,7.2711,7.0674,6.8458,6.7009,6.7117
-34,25.019,17.946,14.861,13.045,11.818,10.939,10.257,9.7134,9.2666,8.8903,8.5748,8.2937,8.0674,7.8559,7.6345,7.4236,7.24,7.1724,7.0209,6.9184
-32,25.618,18.385,15.231,13.365,12.135,11.222,10.525,9.9743,9.5252,9.1417,8.8243,8.527,8.2987,8.0827,7.8771,7.6914,7.5351,7.3563,7.1134,7.1032
-30,26.219,18.828,15.606,13.704,12.419,11.518,10.806,10.244,9.7782,9.3965,9.0675,8.7827,8.5337,8.3069,8.1035,7.9119,7.7308,7.5168,7.4441,7.3281
-28,26.813,19.267,15.98,14.027,12.75,11.81,11.087,10.509,10.042,9.6469,9.3133,9.0232,8.7448,8.5384,8.3328,8.1361,7.9523,7.7621,7.6544,7.443
-26,27.411,19.71,16.354,14.372,13.052,12.064,11.348,10.768,10.294,9.9024,9.561,9.2522,9.0026,8.7702,8.5711,8.368,8.1841,8.0069,7.8246,7.7282
-24,28.015,20.151,16.734,14.722,13.347,12.4,11.651,11.055,10.566,10.153,9.8096,9.4973,9.2409,9.0014,8.8034,8.602,8.3859,8.1281,8.0106,7.8595
-22,28.614,20.596,17.108,15.065,13.686,12.669,11.935,11.328,10.834,10.417,10.049,9.7566,9.4812,9.2306,9.0354,8.8249,8.6737,8.4166,8.2388,8.0646
-20,29.209,21.039,17.488,15.406,14.011,12.955,12.206,11.596,11.095,10.671,10.316,10.002,9.7112,9.4937,9.2659,9.0604,8.8596,8.6735,8.5224,8.2887
-18,29.811,21.487,17.867,15.749,14.331,13.299,12.506,11.881,11.367,10.938,10.569,10.232,9.9685,9.7333,9.4985,9.295,9.1064,8.8966,8.7551,8.5907
-16,30.408,21.924,18.247,16.094,14.623,13.6,12.796,12.159,11.637,11.2,10.826,10.495,10.211,9.9762,9.7155,9.5321,9.3183,9.1266,8.9248,8.7407
-14,30.998,22.369,18.628,16.427,14.971,13.894,13.034,12.435,11.892,11.461,11.08,10.755,10.459,10.187,9.9775,9.7557,9.5349,9.3645,9.2142,9.051
-12,31.593,22.814,19.01,16.782,15.289,14.21,13.381,12.708,12.174,11.728,11.344,11.02,10.612,10.439,10.22,10.019,9.8071,9.6046,9.3956,9.2546
-10,32.189,23.251,19.392,17.129,15.616,14.467,13.615,13.012,12.457,11.996,11.598,11.278,10.958,10.663,10.474,10.228,10.015,9.825,9.6503,9.4723
-8,32.788,23.702,19.771,17.479,15.94,14.786,13.917,13.288,12.729,12.263,11.879,11.425,11.209,10.936,10.671,10.464,10.321,10.089,9.8769,9.708
-6,33.377,24.147,20.154,17.827,16.267,15.116,14.265,13.567,13.003,12.51,12.039,11.782,11.483,11.201,10.948,10.718,10.562,10.344,9.9805,9.9741
-4,33.969,24.588,20.539,18.175,16.592,15.39,14.563,13.857,13.284,12.802,12.394,12.045,11.708,11.432,11.185,10.983,10.768,10.591,10.358,10.135
-2,34.556,25.038,20.922,18.524,16.92,15.734,14.867,14.157,13.506,13.081,12.608,12.292,11.968,11.701,11.435,11.224,11.038,10.844,10.601,10.409
0,35.15,25.482,21.305,18.878,17.249,16.073,15.161,14.38,13.857,13.362,12.919,12.586,12.222,11.973,11.687,11.451,11.247,11.038,10.831,10.683