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Christopher W. Hamilton [email_address] Hawai‘i Institute of Geophysics and Planetology, University of Hawai‘i   Explosive Lava–Water Interactions  on Earth and Mars Ph.D. Co-Advisor: Thor Thordarson   Co-Authors:  Lionel Wilson Ciarán Beggan Ph.D. Advisor:  Sarah Fagents Acknowledgements   National Aeronautics and Space Administration  Icelandic Centre for Research  National Science Foundation Geological Society of America Hawai ‘i  Geographic Information Coordinating Council  University of Hawai ‘i  Graduate Student Organization
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion  Conclusions ,[object Object],1. Geological mapping and geomorphology 2. Statistical nearest neighbor (NN) analysis Explosive Lava–Water Interactions
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion  Conclusions Explosive Lava–Water Interactions Earth: Hamilton CW , T Thordarson, and SA Fagents (2010a) Explosive lava-water interactions I:  architecture and emplacement chronology of volcanic rootless cone groups in the 1783- 1784 Laki lava flow.  Bulletin of Volcanology , 10.1007/s00445-009-0330-6. Hamilton CW , SA Fagents, and T Thordarson (2010b) Explosive lava-water interaction II:  Self-organization processes among volcanic rootless eruption sites in the 1783-1784  Laki lava flow, Iceland.  Bulletin of Volcanology , 10.1007/s00445-009-0331-5.   Mars: Hamilton CW , SA Fagents, and L Wilson (2010c) Explosive lava-water interactions in Elysium  Planitia, Mars: constraints on the formation of the Tartarus Colles cone groups.  Journal  of Geophysical Research , (in press).  Hamilton CW , SA Fagents, and T Thordarson (2010d) Lava-ground ice interactions in Elysium  Planitia, Mars: geomorphological and geospatial analysis of the western Tartarus Colles  cone groups.  Journal of Geophysical Research , (in review).
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions   Introduction
Lake Mývatn, Iceland Volcano–H 2 O Interactions Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Volcanic Rootless Cones (VRCs)
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Skaftá River, Iceland Volcanic Rootless Cones (VRCs)
VRC group in the Laki lava flow, Iceland Introduction Methods Results Discussion Conclusions Volcanic Rootless Cones (VRCs) Introduction    Earth  Mars  Discussion  Conclusions
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions ,[object Object],VRC group in the Laki lava flow, Iceland Volcanic Rootless Cones (VRCs)
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conceptual Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Volcanic Rootless Cones (VRCs)
Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Volcanic Rootless Cones (VRCs)
Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Volcanic Rootless Cones (VRCs)
Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Volcanic Rootless Cones (VRCs)
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Volcanic Rootless Cones (VRCs)
1 km Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions VRC analogs among the western Tartarus Colles cone groups, Mars Volcanic Rootless Cones (VRCs)
1 km Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Volcanic Rootless Cones (VRCs) VRC analogs among the eastern Tartarus Colles cone groups, Mars
Mars Exploration Rover Spirit images of volcanic rocks in Gusev Crater, Mars Volcano–H 2 O Interactions on Mars Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Mars Exploration Rover Spirit images of volcanic rocks in Gusev Crater, Mars Volcano–H 2 O Interactions on Mars Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Mars Exploration Rover Spirit images of volcanic rocks in Gusev Crater, Mars Volcano–H 2 O Interactions on Mars Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Volcanic Rootless Cones (VRCs) Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions   Earth
Terrestrial Analog:  Laki, Iceland   Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions N
Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions N Terrestrial Analog:  Laki, Iceland
1070ºC 564 570 568 566 Elevation (m) Rootless Cone Archetypes Brittle Crust Viscous Layer Molten Core Saturated Unsaturated Lava Flow Sediments 800ºC Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Hekla 1104 pumice layer 150 m
564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions 150 m
Kipuka Mantled Terrain Lava Rootless Cone Crater Crater Floor Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis 1000 m
Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis
○  R a :  mean  actual   distance between  Nearest Neighbor (NN) pairs R e :  mean  expected  distance  between NNs Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis if  R  < 1 then clustered if  R  ≈ 1 then random if  R  > 1 then repelled
R : 1.00  | c |:  0.05 R : 1.91  | c |:  6.64 R : 0.47  | c |:  7.13 Clustered Poisson (Random) Evenly Spaced x R  < 1 R  = 1 R  > 1 Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis Figure adapted from Bruno  et al.  (2006)
Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis
Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis Population size (N) Repelled Clustered
Discharge from extraction well Maximum radius of influence Distance from extraction well Aquifer thickness Water saturated depth at r Water table draw down at r Q R r H h S Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis
Discharge from extraction well Maximum radius of influence Distance from extraction well Aquifer thickness Water saturated depth at r Water table draw down at r Q R r H h S Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis
Discharge from extraction well Maximum radius of influence Distance from extraction well Aquifer thickness Water saturated depth at r Water table draw down at r Q R r H h S Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Geospatial Analysis
[object Object],1. Lava pathways effect VRC morphology 2. VRC groups are diachronous constructs Introduction Methods Results Discussion Conclusions Introduction     Earth   Mars  Discussion  Conclusions Summary
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars   Discussion  Conclusions   Mars
Tartarus Colles Cone Groups, Mars MOLA Digital Terrain Model of Elysium Planitia, Mars 1000 km 9 km -9 km 0 km Elevation Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
9 km -9 km 0 km Elevation 1000 km Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Tartarus Colles Cone Groups, Mars
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Tartarus Colles Cone Groups, Mars Cerberus Fossae 3 unit Late Amazonian Cerberus Fossae 2 unit Late to Middle Amazonian Elysium Rise unit Early Amazonian to Early Hesperian Crater unit Late Amazonian to Early Hesperian Arcadia Planitia unit Late to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian Noachian    Hesperian    Amazonian 3.5  1.8   0 Billions of years before present
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava Elevation (m) Noachian    Hesperian    Amazonian 3.5  1.8   0 Billions of years before present
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava VRCs Elevation (m) Noachian    Hesperian    Amazonian 3.5  1.8   0 Billions of years before present
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava VRCs Elevation (m) Noachian    Hesperian    Amazonian 3.5  1.8   0 Billions of years before present
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava VRCs Elevation (m) Pitted terrain Noachian    Hesperian    Amazonian 3.5  1.8   0 Billions of years before present
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian VRC-hosting Tartarus Colles lava Late to Middle Amazonian (75–250 Ma)
(log  N i ) Nearest Neighbor (NN) Results Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Repelled Clustered
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Nearest Neighbor (NN) Results Repelled Clustered
Nearest Neighbor (NN) Results Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Repelled Clustered
(log  N i ) Nearest Neighbor (NN) Results Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Repelled Clustered
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Nearest Neighbor (NN) Results Lava  Thickness N 10 km
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Nearest Neighbor (NN) Results Lava  Thickness N 10 km
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Nearest Neighbor (NN) Results Lava  Thickness N 10 km
Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Nearest Neighbor (NN) Results 3 km Lava  Thickness N 10 km
3 km 3 km Lava  Thickness Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions N 10 km Nearest Neighbor (NN) Results
Thermodynamic Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Thermodynamic Model Differences in isotherm depths on Mars and the Earth Mars (T A  = 210 K) Earth (T A  = 270 K) Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Thermodynamic Model Hydrothermal system longevity (substrate temperature >273 K) Mars (T A  = 210 K) Earth (T A  = 270 K) Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Thermodynamic Model X Y X Y Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions X Y
Thermodynamic Model Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions X Y X Y X Y X Y
Thermodynamic Model 273 K at T L  = 1273 K Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions X Y X Y X Y X Y
Thermodynamic Model 273 K at T L  = 1273 K Maximum 273 K Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions X Y X Y X Y X Y
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions   Discussion
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions Summary
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions Summary
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions Summary
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions Summary
Summary Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions
Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions Summary Minimum H 2 O volume = (VRC domain area) × (Isotherm depth at T L  = 1273 K) × (Substrate porosity) Minimum H 2 O volume  = (2014 km 2 ) x (21 to 42 m for 30 to 60 m-thick lava) × (0.1 to 0.3) Minimum H 2 O volume  =  ~3.7 to 22.5 km 3
Summary Minimum H 2 O volume = (VRC domain area) × (Isotherm depth at T L  = 1273 K) × (Substrate porosity) Minimum H 2 O volume  = (2014 km 2 ) x (21 to 42 m for 30 to 60 m-thick lava) × (0.1 to 0.3) Minimum H 2 O volume  =  ~3.7 to 22.5 km 3 Paleo-climate = intermediate obliquity (~35°) 75–250 Ma ago, with excursions to ~25–32° Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions
Summary Minimum H 2 O volume = (VRC domain area) × (Isotherm depth at T L  = 1273 K) × (Substrate porosity) Minimum H 2 O volume  = (2014 km 2 ) x (21 to 42 m for 30 to 60 m-thick lava) × (0.1 to 0.3) Minimum H 2 O volume  =  ~3.7 to 22.5 km 3 Paleo-climate = intermediate obliquity (~35°) 75–250 Ma ago, with excursions to ~25–32° Hydrothermal system longevity = up to ~1300 years for 75 m-thick lava and T A  = 210 K Introduction Methods Results Discussion Conclusions Introduction     Earth  Mars  Discussion   Conclusions
  Conclusions Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
Conclusions Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Local Global ,[object Object],[object Object],[object Object],VRCs form due to explosive lava–water interactions  that indicate at random in favorable environments VRC groups are diachronous structures with VRC morphologies recording stages of lava emplacement Thermokarst can form in association with VRCs if extended ground ice melting causes lava foundering
Conclusions Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions Local Global ,[object Object],[object Object],[object Object],[object Object],VRCs form due to explosive lava–water interactions  that indicate at random in favorable environments VRC groups are diachronous structures with VRC morphologies recording stages of lava emplacement Thermokarst can form in association with VRCs if extended ground ice melting causes lava foundering   Rootless eruption sites exhibit scale-dependent  variations in nearest neighbor statistics, but cannot be distinguished using one geospatial parameter
VRCs form due to explosive lava–water interactions  that indicate at random in favorable environments VRC groups are diachronous structures with VRC morphologies recording stages of lava emplacement Thermokarst can form in association with VRCs if extended ground ice melting causes lava foundering  Rootless eruption sites exhibit scale-dependent  variations in nearest neighbor statistics, but cannot be distinguished using one geospatial parameter During VRC formation, the western Tartaus Colles  region contained >4–22 km 3  H 2 O, and could have had  active hydrothermal systems for up to ~1300 years This major volcanic event occurred on Mars ~125 Ma ago, under intermediate (~35°) obliquity conditions supporting a mid-latitude ice table at <21–42 m depth Conclusions ,[object Object],[object Object],[object Object],Local Global ,[object Object],3.  What information do rootless cones provide about the geological evolution of Mars? Introduction Methods Results Discussion Conclusions Introduction    Earth  Mars  Discussion  Conclusions
  DGPS Mapping Introduction Methods Results Discussion Conclusions
Terrestrial Analogue:  Laki, Iceland   Introduction Methods Results Discussion Conclusions N
Terrestrial Analogue:  Laki, Iceland   Introduction Methods Results Discussion Conclusions
Kipuka Mantled Terrain Lava Rootless Cone Crater Crater Floor Facies Mapping  Introduction Methods Results Discussion Conclusions 1000 m
Introduction Methods Results Discussion Conclusions Facies Mapping  Differential GPS tracks define facies boundaries 15 m
Introduction Methods Results Discussion Conclusions Facies Mapping  DGPS boundaries were digitized in ArcGIS 15 m
Introduction Methods Results Discussion Conclusions Facies Mapping  DGPS boundaries were digitized in ArcGIS 15 m
2216 rootless eruptions sites  defined using Differential GPS  86 stratigraphic sections used to  constrain kipuka locations and  emplacement chronology On Wednesday, August 20, 2008 this geological map was used to prevent renewed quarrying  of the Laki rootless cones Introduction Methods Results Discussion Conclusions Facies Mapping
0.5 m 1.0 m Katla 1918 Laki (S2) Emplacement Chronology Laki S1a Layer (Fissures 1) June 8, 1783 Laki S1b Layer (Fissures 2) June 10-11, 1783 Laki S2 Layer (Fissure 3) June 14, 1783 Introduction Methods Results Discussion Conclusions
0.5 m Katla 1918 Laki (S2) Emplacement Chronology 1.0 m Laki S1a Layer (Fissures 1) June 8, 1783 Laki S1b Layer (Fissures 2) June 10-11, 1783 Laki S2 Layer (Fissure 3) June 14, 1783 Introduction Methods Results Discussion Conclusions
0.5 m Katla 1918 Laki (S1 + S2) Katla 1755 Katla 1625 Emplacement Chronology 1.0 m Laki S1a Layer (Fissures 1) June 8, 1783 Laki S1b Layer (Fissures 2) June 10-11, 1783 Laki S2 Layer (Fissure 3) June 14, 1783 Introduction Methods Results Discussion Conclusions
Emplacement Chronology Introduction Methods Results Discussion Conclusions
  Nearest Neighbor (NN) Analysis Introduction Methods Results Discussion Conclusions
○  R a :  mean  actual   distance between  Nearest Neighbor (NN) pairs R e :  mean  expected  distance  between NNs c:   test statistic for measuring the  significance of  R σ   :   standard error of the mean  expected  NN distance R e Introduction Methods Results Discussion Conclusions Geospatial Analysis
Introduction Methods Results Discussion Conclusions Geospatial Analysis Population size (N)
Introduction Methods Results Discussion Conclusions Geospatial Analysis Population size (N)
  Thermodynamic Modeling Introduction Methods Results Discussion Conclusions
Thermodynamic Model T  = temperature at time  t  in seconds T L  = temperature of the lava (initially equal to  T M ) T B  = temperature at the base of the flow (initially equal to  T M ) T M  = temperature of basaltic magma (1450 or 1617 K) d  = depth beneath the top of the flow in meters k  = thermal diffusivity (7 × 10 -7  m 2  s -1 ) Other boundary conditions and considerations:  1. Upper flow surface of the lava is kept at ambient temperature ( T A ) 2. Substrate temperature is initially set to  T A 3.  k  adjusted to account for the heat absorbed in melting and vaporizing H 2 O Analytical model: Introduction Methods Results Discussion Conclusions
Thermodynamic Model Introduction Methods Results Discussion Conclusions Effects of ambient temperature (T A ) on isotherm depth  Mars (T A  = 210 K) Earth (T A  = 270 K)
Thermodynamic Model Introduction Methods Results Discussion Conclusions
  Obliquity-Driven Climate Change Introduction Methods Results Discussion Conclusions
Obliquity-Driven Climate Change Introduction Methods Results Discussion Conclusions Probabilistic obliquity scenarios for Mars during the past 250 Ma (Laskar  et al. ,   2004) Obliquity (Axial Tilt) Plane of  the ecliptic If  ice  then  obliquity >25° If  desiccation  then  obliquity <32°

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Explosive Lava-Water Interactions on Earth and Mars

  • 1. Christopher W. Hamilton [email_address] Hawai‘i Institute of Geophysics and Planetology, University of Hawai‘i   Explosive Lava–Water Interactions on Earth and Mars Ph.D. Co-Advisor: Thor Thordarson Co-Authors: Lionel Wilson Ciarán Beggan Ph.D. Advisor: Sarah Fagents Acknowledgements National Aeronautics and Space Administration Icelandic Centre for Research National Science Foundation Geological Society of America Hawai ‘i Geographic Information Coordinating Council University of Hawai ‘i Graduate Student Organization
  • 2.
  • 3. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Explosive Lava–Water Interactions Earth: Hamilton CW , T Thordarson, and SA Fagents (2010a) Explosive lava-water interactions I: architecture and emplacement chronology of volcanic rootless cone groups in the 1783- 1784 Laki lava flow.  Bulletin of Volcanology , 10.1007/s00445-009-0330-6. Hamilton CW , SA Fagents, and T Thordarson (2010b) Explosive lava-water interaction II: Self-organization processes among volcanic rootless eruption sites in the 1783-1784 Laki lava flow, Iceland.  Bulletin of Volcanology , 10.1007/s00445-009-0331-5.   Mars: Hamilton CW , SA Fagents, and L Wilson (2010c) Explosive lava-water interactions in Elysium Planitia, Mars: constraints on the formation of the Tartarus Colles cone groups.  Journal of Geophysical Research , (in press). Hamilton CW , SA Fagents, and T Thordarson (2010d) Lava-ground ice interactions in Elysium Planitia, Mars: geomorphological and geospatial analysis of the western Tartarus Colles cone groups.  Journal of Geophysical Research , (in review).
  • 4. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions   Introduction
  • 5. Lake Mývatn, Iceland Volcano–H 2 O Interactions Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Volcanic Rootless Cones (VRCs)
  • 6. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Skaftá River, Iceland Volcanic Rootless Cones (VRCs)
  • 7. VRC group in the Laki lava flow, Iceland Introduction Methods Results Discussion Conclusions Volcanic Rootless Cones (VRCs) Introduction Earth Mars Discussion Conclusions
  • 8.
  • 9. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 10. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 11. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 12. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 13. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 14. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 15. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 16. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 17. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 18. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 19. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 20. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 21. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 22. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 23. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 24. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 25. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 26. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 27. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 28. Conceptual Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 29. Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Volcanic Rootless Cones (VRCs)
  • 30. Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Volcanic Rootless Cones (VRCs)
  • 31. Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Volcanic Rootless Cones (VRCs)
  • 32. Neural Networks VRC cross-section within Rauðhólar, Iceland Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Volcanic Rootless Cones (VRCs)
  • 33. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Volcanic Rootless Cones (VRCs)
  • 34. 1 km Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions VRC analogs among the western Tartarus Colles cone groups, Mars Volcanic Rootless Cones (VRCs)
  • 35. 1 km Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Volcanic Rootless Cones (VRCs) VRC analogs among the eastern Tartarus Colles cone groups, Mars
  • 36. Mars Exploration Rover Spirit images of volcanic rocks in Gusev Crater, Mars Volcano–H 2 O Interactions on Mars Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 37. Mars Exploration Rover Spirit images of volcanic rocks in Gusev Crater, Mars Volcano–H 2 O Interactions on Mars Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 38. Mars Exploration Rover Spirit images of volcanic rocks in Gusev Crater, Mars Volcano–H 2 O Interactions on Mars Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 39.
  • 40. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions   Earth
  • 41. Terrestrial Analog: Laki, Iceland Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions N
  • 42. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions N Terrestrial Analog: Laki, Iceland
  • 43. 1070ºC 564 570 568 566 Elevation (m) Rootless Cone Archetypes Brittle Crust Viscous Layer Molten Core Saturated Unsaturated Lava Flow Sediments 800ºC Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 44. 564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 45. 564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 46. 564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 47. 564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 48. 564 570 568 566 Elevation (m) Rootless Cone Archetypes Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 49. 564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 50. 564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 51. 564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Hekla 1104 pumice layer 150 m
  • 52. 564 570 568 566 Elevation (m) Geospatial Analysis Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions 150 m
  • 53. Kipuka Mantled Terrain Lava Rootless Cone Crater Crater Floor Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis 1000 m
  • 54. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis
  • 55. ○ R a : mean actual distance between Nearest Neighbor (NN) pairs R e : mean expected distance between NNs Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis if R < 1 then clustered if R ≈ 1 then random if R > 1 then repelled
  • 56. R : 1.00 | c |: 0.05 R : 1.91 | c |: 6.64 R : 0.47 | c |: 7.13 Clustered Poisson (Random) Evenly Spaced x R < 1 R = 1 R > 1 Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis Figure adapted from Bruno et al. (2006)
  • 57. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis
  • 58. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis Population size (N) Repelled Clustered
  • 59. Discharge from extraction well Maximum radius of influence Distance from extraction well Aquifer thickness Water saturated depth at r Water table draw down at r Q R r H h S Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis
  • 60. Discharge from extraction well Maximum radius of influence Distance from extraction well Aquifer thickness Water saturated depth at r Water table draw down at r Q R r H h S Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis
  • 61. Discharge from extraction well Maximum radius of influence Distance from extraction well Aquifer thickness Water saturated depth at r Water table draw down at r Q R r H h S Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Geospatial Analysis
  • 62.
  • 63. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions   Mars
  • 64. Tartarus Colles Cone Groups, Mars MOLA Digital Terrain Model of Elysium Planitia, Mars 1000 km 9 km -9 km 0 km Elevation Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 65. 9 km -9 km 0 km Elevation 1000 km Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Tartarus Colles Cone Groups, Mars
  • 66. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Tartarus Colles Cone Groups, Mars Cerberus Fossae 3 unit Late Amazonian Cerberus Fossae 2 unit Late to Middle Amazonian Elysium Rise unit Early Amazonian to Early Hesperian Crater unit Late Amazonian to Early Hesperian Arcadia Planitia unit Late to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian Noachian Hesperian Amazonian 3.5 1.8 0 Billions of years before present
  • 67. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava Elevation (m) Noachian Hesperian Amazonian 3.5 1.8 0 Billions of years before present
  • 68. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava VRCs Elevation (m) Noachian Hesperian Amazonian 3.5 1.8 0 Billions of years before present
  • 69. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava VRCs Elevation (m) Noachian Hesperian Amazonian 3.5 1.8 0 Billions of years before present
  • 70. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian Nepenthes Mensae unit Early Hesperian to Early Noachian VRC-hosting Tartarus Colles lava Shield-like Tartarus Colles lava VRCs Elevation (m) Pitted terrain Noachian Hesperian Amazonian 3.5 1.8 0 Billions of years before present
  • 71. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Tartarus Colles Cone Groups, Mars Elysium Rise unit Early Amazonian to Early Hesperian VRC-hosting Tartarus Colles lava Late to Middle Amazonian (75–250 Ma)
  • 72. (log N i ) Nearest Neighbor (NN) Results Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Repelled Clustered
  • 73. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Nearest Neighbor (NN) Results Repelled Clustered
  • 74. Nearest Neighbor (NN) Results Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Repelled Clustered
  • 75. (log N i ) Nearest Neighbor (NN) Results Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Repelled Clustered
  • 76. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Nearest Neighbor (NN) Results Lava Thickness N 10 km
  • 77. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Nearest Neighbor (NN) Results Lava Thickness N 10 km
  • 78. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Nearest Neighbor (NN) Results Lava Thickness N 10 km
  • 79. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Nearest Neighbor (NN) Results 3 km Lava Thickness N 10 km
  • 80. 3 km 3 km Lava Thickness Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions N 10 km Nearest Neighbor (NN) Results
  • 81. Thermodynamic Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 82. Thermodynamic Model Differences in isotherm depths on Mars and the Earth Mars (T A = 210 K) Earth (T A = 270 K) Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 83. Thermodynamic Model Hydrothermal system longevity (substrate temperature >273 K) Mars (T A = 210 K) Earth (T A = 270 K) Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 84. Thermodynamic Model X Y X Y Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions X Y
  • 85. Thermodynamic Model Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions X Y X Y X Y X Y
  • 86. Thermodynamic Model 273 K at T L = 1273 K Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions X Y X Y X Y X Y
  • 87. Thermodynamic Model 273 K at T L = 1273 K Maximum 273 K Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions X Y X Y X Y X Y
  • 88. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions   Discussion
  • 89. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Summary
  • 90. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Summary
  • 91. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Summary
  • 92. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Summary
  • 93. Summary Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 94. Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions Summary Minimum H 2 O volume = (VRC domain area) × (Isotherm depth at T L = 1273 K) × (Substrate porosity) Minimum H 2 O volume = (2014 km 2 ) x (21 to 42 m for 30 to 60 m-thick lava) × (0.1 to 0.3) Minimum H 2 O volume = ~3.7 to 22.5 km 3
  • 95. Summary Minimum H 2 O volume = (VRC domain area) × (Isotherm depth at T L = 1273 K) × (Substrate porosity) Minimum H 2 O volume = (2014 km 2 ) x (21 to 42 m for 30 to 60 m-thick lava) × (0.1 to 0.3) Minimum H 2 O volume = ~3.7 to 22.5 km 3 Paleo-climate = intermediate obliquity (~35°) 75–250 Ma ago, with excursions to ~25–32° Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 96. Summary Minimum H 2 O volume = (VRC domain area) × (Isotherm depth at T L = 1273 K) × (Substrate porosity) Minimum H 2 O volume = (2014 km 2 ) x (21 to 42 m for 30 to 60 m-thick lava) × (0.1 to 0.3) Minimum H 2 O volume = ~3.7 to 22.5 km 3 Paleo-climate = intermediate obliquity (~35°) 75–250 Ma ago, with excursions to ~25–32° Hydrothermal system longevity = up to ~1300 years for 75 m-thick lava and T A = 210 K Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 97.   Conclusions Introduction Methods Results Discussion Conclusions Introduction Earth Mars Discussion Conclusions
  • 98.
  • 99.
  • 100.
  • 101.   DGPS Mapping Introduction Methods Results Discussion Conclusions
  • 102. Terrestrial Analogue: Laki, Iceland Introduction Methods Results Discussion Conclusions N
  • 103. Terrestrial Analogue: Laki, Iceland Introduction Methods Results Discussion Conclusions
  • 104. Kipuka Mantled Terrain Lava Rootless Cone Crater Crater Floor Facies Mapping Introduction Methods Results Discussion Conclusions 1000 m
  • 105. Introduction Methods Results Discussion Conclusions Facies Mapping Differential GPS tracks define facies boundaries 15 m
  • 106. Introduction Methods Results Discussion Conclusions Facies Mapping DGPS boundaries were digitized in ArcGIS 15 m
  • 107. Introduction Methods Results Discussion Conclusions Facies Mapping DGPS boundaries were digitized in ArcGIS 15 m
  • 108. 2216 rootless eruptions sites defined using Differential GPS 86 stratigraphic sections used to constrain kipuka locations and emplacement chronology On Wednesday, August 20, 2008 this geological map was used to prevent renewed quarrying of the Laki rootless cones Introduction Methods Results Discussion Conclusions Facies Mapping
  • 109. 0.5 m 1.0 m Katla 1918 Laki (S2) Emplacement Chronology Laki S1a Layer (Fissures 1) June 8, 1783 Laki S1b Layer (Fissures 2) June 10-11, 1783 Laki S2 Layer (Fissure 3) June 14, 1783 Introduction Methods Results Discussion Conclusions
  • 110. 0.5 m Katla 1918 Laki (S2) Emplacement Chronology 1.0 m Laki S1a Layer (Fissures 1) June 8, 1783 Laki S1b Layer (Fissures 2) June 10-11, 1783 Laki S2 Layer (Fissure 3) June 14, 1783 Introduction Methods Results Discussion Conclusions
  • 111. 0.5 m Katla 1918 Laki (S1 + S2) Katla 1755 Katla 1625 Emplacement Chronology 1.0 m Laki S1a Layer (Fissures 1) June 8, 1783 Laki S1b Layer (Fissures 2) June 10-11, 1783 Laki S2 Layer (Fissure 3) June 14, 1783 Introduction Methods Results Discussion Conclusions
  • 112. Emplacement Chronology Introduction Methods Results Discussion Conclusions
  • 113.   Nearest Neighbor (NN) Analysis Introduction Methods Results Discussion Conclusions
  • 114. ○ R a : mean actual distance between Nearest Neighbor (NN) pairs R e : mean expected distance between NNs c: test statistic for measuring the significance of R σ : standard error of the mean expected NN distance R e Introduction Methods Results Discussion Conclusions Geospatial Analysis
  • 115. Introduction Methods Results Discussion Conclusions Geospatial Analysis Population size (N)
  • 116. Introduction Methods Results Discussion Conclusions Geospatial Analysis Population size (N)
  • 117.   Thermodynamic Modeling Introduction Methods Results Discussion Conclusions
  • 118. Thermodynamic Model T = temperature at time t in seconds T L = temperature of the lava (initially equal to T M ) T B = temperature at the base of the flow (initially equal to T M ) T M = temperature of basaltic magma (1450 or 1617 K) d = depth beneath the top of the flow in meters k = thermal diffusivity (7 × 10 -7 m 2 s -1 ) Other boundary conditions and considerations: 1. Upper flow surface of the lava is kept at ambient temperature ( T A ) 2. Substrate temperature is initially set to T A 3. k adjusted to account for the heat absorbed in melting and vaporizing H 2 O Analytical model: Introduction Methods Results Discussion Conclusions
  • 119. Thermodynamic Model Introduction Methods Results Discussion Conclusions Effects of ambient temperature (T A ) on isotherm depth Mars (T A = 210 K) Earth (T A = 270 K)
  • 120. Thermodynamic Model Introduction Methods Results Discussion Conclusions
  • 121.   Obliquity-Driven Climate Change Introduction Methods Results Discussion Conclusions
  • 122. Obliquity-Driven Climate Change Introduction Methods Results Discussion Conclusions Probabilistic obliquity scenarios for Mars during the past 250 Ma (Laskar et al. , 2004) Obliquity (Axial Tilt) Plane of the ecliptic If ice then obliquity >25° If desiccation then obliquity <32°