1
Scattering greenhouse effect of radiatively controlled Scattering greenhouse effect of radiatively controlled CO CO 2 ice cloud layer in a Martian paleoatmosphere ice cloud layer in a Martian paleoatmosphere Chihiro Mitsuda Chihiro Mitsuda 1 , Tokuta Yokohata , Tokuta Yokohata 2 2 and Kiyoshi Kuramoto and Kiyoshi Kuramoto 1 1 Dep. of Cosmosciences, Hokkaido Univ. Dep. of Cosmosciences, Hokkaido Univ. 2 National Institute for Environmental Studies National Institute for Environmental Studies AGU 2006 fall meeting, 12 December 2006, Planetary sciences, Martian atmosphere, P23A-0042 AGU 2006 fall meeting, 12 December 2006, Planetary sciences, Martian atmosphere, P23A-0042 Scattering greenhouse effect of radiatively controlled CO 2 ice cloud layer in a Martian paleoatmosphere Chihiro Mitsuda 1 , Tokuta Yokohata 2 and Kiyoshi Kuramoto 1 1 Dep. of Cosmosciences, Hokkaido Univ. 2 National Institute for Environmental Studies AGU 2006 fall meeting, 12 December 2006, Planetary sciences, Martian atmosphere, P23A-0042 The scattering greenhouse effect of CO 2 ice cloud has been proposed as a potential mechanism for keeping the Martian climate warm enough to support flowing water under a faint young Sun. Previous studies have shown that such warm climate is possibly achieved if a cloud layer with optimal ranges of particle size and optical depth is placed in dense CO 2 -H 2 O atmosphere. However, it has not been examined how such an optimal cloud layer could be formed. In this study, we suggest that cloud particle size is automatically adjusted so the cloud layer as to satisfy radiative equilibrium assuming cloud formation by radiative cooling instead of moist convection. Adjusted CO 2 ice cloud layer can induce strong greenhouse effect with strong dependency on mixing ratio of cloud condensation nuclei (CCN). This seems consistent with intermittent warming suggested by modest erosion of ancient cratered terrain because Martian paleoclimate might fluctuate between warm and cold states induced by the variation of nuclei mixing ratio. Summary 150 200 250 300 10 1 0.1 0.01 0.001 Surface Temperature [K] Surface Pressure [bar] H 2 O melt 273 Present Mars Present Earth Ancient Mars?? CO CO 2 condenses condenses CO 2 condenses cloud-free 10 6 kg -1 CCN mixing ratio:10 5 kg -1 10 7 kg -1 H 2 O liquid Relationship between the surface pressure and temperature of CO 2 -H 2 O atmosphere on early Mars. The solid curves include cloud formation owing to radiative cooling and the dash curve neglects it. The dot curve represents the saturation temperature of CO 2 . The aqua region in the upper-right of figure represents the condition that liquid water exists stably. Introduction The scattering greenhouse effect of CO 2 ice cloud - is candidate mechanism to explain the warm climate which allows valley networks to form on early Mars . + The greenhouse effect of dense CO 2 -H 2 O atmosphere cannot simply explain the warm climate because the increase in temperature at upper troposphere due to CO 2 condensation would significantly weaken the greenhouse effect (Kasting 1991). In previous studies (Pierrehumbert and Erlick 1998, Mischna et al. 2000) - The strength of greenhouse effect strongly depends on the cloud parameters such as particle size and optical depth. - However, the estimation of cloud parameters have been considered as a difficult problem so far + supposing that cloud formation is mainly driven by moist convection like that in the terrestrial troposphere. In this study - We estimate cloud parameters and induced greenhouse effect assuming cloud formation by local radiative cooling instead of moist convection. + Unstable stratification is not necessary to be formed by radiative cooling because the major atmospheric component CO 2 is condensable. - Latent heat release with CO 2 condensation can inhibit it. + Furthermore, if cloud becomes to receive net radiative heating as it grows, the cloud parameters would be autonomously adjusted to achieve the radiative equilibrium in each CO 2 cloud layer. O C 2 e t a r u t a s with Optimal cloud (Forget and Pierrehumbert 1997) without CO 2 condensation (Pollacek et al. 1987) with CO 2 condensation (Kasting 1991) * but neglect cloud optical properties 0.0001 0.001 0.01 0.1 1 2 10 140 180 220 260 300 At 75% present solar flux, CO 2 -H 2 O atmosphere Temperature (K) Pressure (bar) Calculated vertical temperature profile Original : Colaprete and Toon 2003 (Fig.9) Valley networks Temperature (a) convection (b) condensation Temperature Pressure Lapse rate : Moist adiabat ( = CO 2 Saturatoin vapor pressure) radiative cooling convection radiative cooling = CO 2 latent heat release Inhibition of unstable stratification by condensation of major atmospheric component 1-D radiative-convective model with cloud formation Assumptions - condensation time << convective time + unstable stratification is inhibited by condensation - Cloud particles stay each level and do not coagulate each other. + CCN mixing ratio is kept constant in a run. - Cloud particle size is uniform in each layer. Radiative model (in detail; Mitsuda et al. 2006) - Two-stream approximation (Toon et al. 1989) + δ -Eddington approximation @solar radiation + Hemispheric mean approximation @IR radiation - Gaseous absorption: correlated k-distribution method + CO 2 , H 2 O line absorption (HITRAN 2004 + HITEMP) + CO 2 pressure-induced absorption (Kasting et al. 1984) + H 2 O continuum absorption (Roberts et al. 1976) + CO 2 contiuum absorption (Mitsuda et al. 2006) - Cloud absorption & reflection : Mie theory + CO 2 pure ice (Warren 1986) Settings - atmospheric components: CO 2 and saturated H 2 O - layer number: 50 - surface albedo: 0.2 - solar luminosity: 75 % of the present value (Gough 1981) - time step: 25 - 10 4 sec - convergence condition: maximum dT/dt < 10 -8 K sec -1 - parameters: surface pressure and CCN mixing ratio - initial vertical profile: + radiative-convective equilibrium profile at cloud-free condition initial vertical profile (temperature and cloud mass mixing ratio) equilibrium profile radiative heating/cooling CO 2 condences/evaporates* convective adjustment convergence condition Yes No *CO 2 condensation scheme - adjusts atmospheric temperature and cloud mass density to satisfy CO 2 gas-solid equilibrium. - Condensed CO 2 is left at each altitude with forming CO 2 ice cloud. Results1: temperature and cloud particle size profile Surface temperature (a), cloud particle size (b) and ice path (c) as functions of CCN mixing ratio for 2 bar atmosphere. The circles and the squares respectively show cloud convergence and ossiallaion solutions. Typical mixing ratios of CCN in the terrestrial atmosphere (Mizuno 2000) and dust in Martian atmosphere (Pollack et al. 1979) are shown for comparison. Surface temperature (a), cloud particle size (b), ice path (c) and cloud radiative forcing (d, IR: < 4000 cm -1 , SLR: > 4000 cm -1 ) as functions of surface puressure under constant CCN mixing ratio of 10 7 kg -1 . The format of this figure is same as upper one except the horizontal axis. - Parameter set + Surface pressure: 2 bar + CCN mixing ratio: 10 7 kg -1 - The cloud layer reaches the terminal state which satisfies radiative equilibrium + cloud particle size (ave.) : 3.5 micron + CO 2 icepath : 0.036 kg m -2 - Optical depth : 1.4 @ λ = 20 micron + altitude : 15 – 40 km + Induced surface warming : 40 K - The negative feedback mechanism between the cloud particle size growth and cloud radiative cooling controls terminal particle size. - This feedback is caused by + increase in the absorbance of the cloud layer with size growth, + increase in incident infrared radiation to cloud from lower atmosphere. - As cloud particles grow over 2 up to 15 micron in size, the cloud induces stronger warming. on CCN mixing ratio - With increasing the mixing ratio, terminal particle size decreases owing to increase in feedback response. - Surface temperature takes maximal value at 10 5 kg -1 . + Cloud has particle size adequate to reflect 20 micron band, one of the atmospheric window. - CCN mixing ratio < 10 8 kg -1 + Atmosphere and cloud converge into terminal state. - CCN mixing ratio > 10 8 kg -1 + Cloud has oscillatory solution. - Cloud becomes too optically thick to converge into terminal state. - Cloud oscillation little influences the temperature profile because oscillation period is much shorter than radiative relaxation time of troposphere. - CCN mixing ratio > 10 9 kg -1 + CO 2 atmosphere condenses onto the surface resulting in the climate collapse. - Cloud particle becomes too small to cause greenhouse effect. - The surface temperature cannot approach equilibrium value if it decreases to CO 2 condensation temperature. on surface pressure - The surface temperature increases with increasing the surface pressure. + The CO 2 condensation level expands and the thicker cloud is formed. 10 8 10 9 10 7 10 6 10 4 10 5 mixing ratio of Cloud Condensation Nuclei [kg -1 ] 10 0 60 1.0 0.01 0.1 225 250 275 (a) Surface temperature [K} (b) cloud particle size (ave.) [µm] (c) CO 2 icepath [kg m -2 ] Terrestrial Maritime CCN Terrestrial Continental CCN Martian dust 0 5 0.1 0.001 0.01 200 250 300 (a) Surface temperature [K] (b) cloud particle size (ave.) [µm] (c) CO 2 icepath [kg m -2 ] 0.5 1.0 5.0 Surface pressure [atm] +50 -50 0 (d) cloud radiative forcing [W m -2 ] IR ALL solar Results2: parameter dependency 120 160 200 240 280 Temperature[K] 0 2 4 6 8 10 Particle size [µm] -0.2 +0.2 0 Radiative Heating rate [K day -1 ] 0.001 0.01 0.1 1.0 2.0 CO 2 saturates initial (cloud-free) Pressure [bar] cloud layer radiative eq. radiative- convective eq. Colaprete, A. and Toon, O. B., 2003, J. Geophys. Res., 108, E4, 5025-5047 Gough, D. O., 1981, Sol. Phys., 74, 21–34 HITRAN2004/HITEMP, http://www.hitran.com Jakosky, B. M. and Phillips, R. J., 2001, Nature, 412, 237–244 Kasting, J. F., 1991, Icarus, 91, 1–13 Kasting, J. F., Pollack, J. B. and Crisp, D., 1984, J. Atmos. Chem., 1, 403–428 Mischna, M. A., Kasting, J. F. and Freedman, R., 2000, Icarus, 145, 546–554 Mitsuda, C., Yokohata, T. and Kuramoto, K., 2006, Proc. of the 39th ISAS Lunar and Planetary Sympsium, in press Pierrehumbert, R. T. and Erlick, C., 1998, J. Atmos. Sci., 55, 1897–1903 Pollack, J. B., Colburn, D. S., Flasar, F. M., Kahn, R., Carlston, C. E. and Pidek, D., 1979, J. Geophys. Res., 84, 2929–2945 Pollack, J. B., Kasting, J. F., Richardson, S. M. and Polokaoff, K., 1987, Icarus, 71, 203–224 Roberts, R. E., Biberman, L. M. and Selby, J. E. A., 1976, Appl. Opt., 15, 2085–2090 Toon, O. B., McKay, C. P., Ackerman, T. P. and Santhanam, K., 1989, J. Geophys. Res., 94, 16287-16301 Warren, S. G., 1986, Appl. Opt., 25, 2650–2674 Yokohata, T., Kosugita, K., Odaka, M. and Kuramoto, K., 2002, Proceedings of the 35th ISAS Lunar and Planetary Syposium, 13–16 References

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Scattering greenhouse effect of radiatively controlledScattering greenhouse effect of radiatively controlled CO CO22 ice cloud layer in a Martian paleoatmosphere ice cloud layer in a Martian paleoatmosphere

Chihiro MitsudaChihiro Mitsuda11, Tokuta Yokohata, Tokuta Yokohata2 2 and Kiyoshi Kuramoto and Kiyoshi Kuramoto11

11Dep. of Cosmosciences, Hokkaido Univ. Dep. of Cosmosciences, Hokkaido Univ. 22National Institute for Environmental StudiesNational Institute for Environmental Studies

AGU 2006 fall meeting, 12 December 2006, Planetary sciences, Martian atmosphere, P23A-0042 AGU 2006 fall meeting, 12 December 2006, Planetary sciences, Martian atmosphere, P23A-0042

Scattering greenhouse effect of radiatively controlled CO2 ice cloud layer in a Martian paleoatmosphere

Chihiro Mitsuda1, Tokuta Yokohata2 and Kiyoshi Kuramoto1

1Dep. of Cosmosciences, Hokkaido Univ. 2National Institute for Environmental Studies

AGU 2006 fall meeting, 12 December 2006, Planetary sciences, Martian atmosphere, P23A-0042

The scattering greenhouse effect of CO2 ice cloud has been proposed as a potential mechanism for keeping the Martian climate warm enough to support flowing water under a faint young Sun. Previous studies have shown that such warm climate is possibly achieved if a cloud layer with optimal ranges of particle size and optical depth is placed in dense CO2-H2O atmosphere. However, it has not been examined how such an optimal cloud layer could be formed.

In this study, we suggest that cloud particle size is automatically adjusted so the cloud layer as to satisfy radiative equilibrium assuming cloud formation by radiative cooling instead of moist convection. Adjusted CO2 ice cloud layer can induce strong greenhouse effect with strong dependency on mixing ratio of cloud condensation nuclei (CCN). This seems consistent with intermittent warming suggested by modest erosion of ancient cratered terrain because Martian paleoclimate might fluctuate between warm and cold states induced by the variation of nuclei mixing ratio.

Summary

150

200

250

300

10 1 0.1 0.01 0.001

Surf

ace

Tem

per

ature

[K

]

Surface Pressure [bar]

H2O melt 273

Present Mars Present Earth Ancient Mars??

COCO22 condenses

condenses

CO2 condenses

cloud-free

106 kg-1

CCN mixing ratio:105 kg-1107kg-1

H2O liquid

Relationship between the surface pressure and temperature of CO2-H2O atmosphere on early Mars. The solid curves include cloud formation owing to radiative cooling and the dash curve neglects it. The dot curve represents the saturation temperature of CO2. The aqua region in the upper-right of figure represents the condition that liquid water exists stably.

IntroductionThe scattering greenhouse effect of CO2 ice cloud

- is candidate mechanism to explain the warm climate which allows valley networks to form on early Mars.

+ The greenhouse effect of dense CO2-H2O atmosphere cannot simply explain the warm climate because the increase in temperature at upper troposphere due to CO2 condensation would significantly weaken the greenhouse effect (Kasting 1991).

In previous studies (Pierrehumbert and Erlick 1998, Mischna et al. 2000)

- The strength of greenhouse effect strongly depends on the cloud parameters such as particle size and optical depth.

- However, the estimation of cloud parameters have been considered as a difficult problem so far

+ supposing that cloud formation is mainly driven by moist convection like that in the terrestrial troposphere.

In this study- We estimate cloud parameters and induced

greenhouse effect assuming cloud formation by local radiative cooling instead of moist convection.

+ Unstable stratification is not necessary to be formed by radiative cooling because the major atmospheric component CO2 is condensable.

- Latent heat release with CO2 condensation can inhibit it.

+ Furthermore, if cloud becomes to receive net radiative heating as it grows, the cloud parameters would be autonomously adjusted to achieve the radiative equilibrium in each CO2 cloud layer.

OC2

etar

utas

with Optimal cloud(Forget and Pierrehumbert 1997)

without CO2 condensation (Pollacek et al. 1987)

with CO2 condensation (Kasting 1991)* but neglect cloud optical properties

0.0001

0.001

0.01

0.1

1

2

10140 180 220 260 300

At 75% present solar flux, CO2-H2O atmosphere

Temperature (K)

Pres

sure

(bar

)

Calculated vertical temperature profile

Original : Colaprete and Toon 2003 (Fig.9)

Valley networks

Temperature

(a) convection (b) condensation

Temperature

Pre

ssure

Lapse rate : Moist adiabat ( = CO2 Saturatoin vapor pressure)

radiative cooling

convection

radiative cooling= CO2 latent heat release

Inhibition of unstable stratification bycondensation of major atmospheric component

1-D radiative-convective model with cloud formationAssumptions

- condensation time << convective time+ unstable stratification is inhibited by condensation

- Cloud particles stay each level and do not coagulate each other.

+ CCN mixing ratio is kept constant in a run. - Cloud particle size is uniform in each layer.

Radiative model (in detail; Mitsuda et al. 2006)

- Two-stream approximation (Toon et al. 1989)

+ δ-Eddington approximation @solar radiation+ Hemispheric mean approximation @IR radiation

- Gaseous absorption: correlated k-distribution method + CO2, H2O line absorption (HITRAN 2004 + HITEMP)

+ CO2 pressure-induced absorption (Kasting et al. 1984)

+ H2O continuum absorption (Roberts et al. 1976)

+ CO2 contiuum absorption (Mitsuda et al. 2006)

- Cloud absorption & reflection : Mie theory+ CO2 pure ice (Warren 1986)

Settings- atmospheric components: CO2 and saturated H2O- layer number: 50- surface albedo: 0.2- solar luminosity: 75 % of the present value (Gough 1981)

- time step: 25 - 104 sec - convergence condition: maximum dT/dt < 10-8 K sec-1

- parameters: surface pressure and CCN mixing ratio- initial vertical profile:

+ radiative-convective equilibrium profile at cloud-free condition

initial vertical profile(temperature and cloud mass mixing ratio)

equilibrium profile

radiative heating/cooling

CO2 condences/evaporates*

convective adjustment

convergence condition

Yes

No

*CO2 condensation scheme- adjusts atmospheric temperature and cloud

mass density to satisfy CO2 gas-solid equilibrium.

- Condensed CO2 is left at each altitude with forming CO2 ice cloud.

Results1: temperature and cloud particle size profile

Surface temperature (a), cloud particle size (b) and ice path (c) as functions of CCN mixing ratio for 2 bar atmosphere. The circles and the squares respectively show cloud convergence and ossiallaion solutions. Typical mixing ratios of CCN in the terrestrial atmosphere (Mizuno 2000) and dust in Martian atmosphere (Pollack et al. 1979) are shown for comparison.

Surface temperature (a), cloud particle size (b), ice path (c) and cloud radiative forcing (d, IR: < 4000 cm-1, SLR: > 4000 cm-1) as functions of surface puressure under constant CCN mixing ratio of 107 kg-1. The format of this figure is same as upper one except the horizontal axis.

- Parameter set+ Surface pressure: 2 bar+ CCN mixing ratio: 107 kg-1

- The cloud layer reaches the terminal state which satisfies radiative equilibrium+ cloud particle size (ave.) : 3.5 micron+ CO2 icepath : 0.036 kg m-2

- Optical depth : 1.4 @ λ = 20 micron+ altitude : 15 – 40 km + Induced surface warming : 40 K

- The negative feedback mechanism between the cloud particle size growth and cloud radiative cooling controls terminal particle size.

- This feedback is caused by+ increase in the absorbance of the cloud layer with size growth, + increase in incident infrared radiation to cloud from lower atmosphere.

- As cloud particles grow over 2 up to 15 micron in size, the cloud induces stronger warming.

on CCN mixing ratio- With increasing the mixing ratio, terminal particle

size decreases owing to increase in feedback response.

- Surface temperature takes maximal value at 105 kg-1.+ Cloud has particle size adequate to reflect 20

micron band, one of the atmospheric window.

- CCN mixing ratio < 108 kg-1

+ Atmosphere and cloud converge into terminal state.

- CCN mixing ratio > 108 kg-1

+ Cloud has oscillatory solution.- Cloud becomes too optically thick to converge

into terminal state.- Cloud oscillation little influences the

temperature profile because oscillation period is much shorter than radiative relaxation time of troposphere.

- CCN mixing ratio > 109 kg-1

+ CO2 atmosphere condenses onto the surface resulting in the climate collapse.

- Cloud particle becomes too small to cause greenhouse effect.

- The surface temperature cannot approach equilibrium value if it decreases to CO2 condensation temperature.

on surface pressure- The surface temperature increases with increasing

the surface pressure.+ The CO2 condensation level expands and the

thicker cloud is formed.

108 109 107 106 104 105

mixing ratio of Cloud Condensation Nuclei [kg-1]

10 0

60

1.0

0.01

0.1

225

250

275(a) Surface temperature [K}

(b) cloud particle size (ave.) [µm]

(c) CO2 icepath [kg m-2]

Terrestrial Maritime CCNTerrestrial Continental CCN

Martian dust

0

5

0.1

0.001

0.01

200

250

300(a) Surface temperature [K]

(b) cloud particle size (ave.) [µm]

(c) CO2 icepath [kg m-2]

0.5 1.0 5.0Surface pressure [atm]

+50

-50

0(d) cloud radiative forcing [W m-2]

IRALL

solar

Results2: parameter dependency

120 160 200 240 280Temperature[K]

0 2 4 6 8 10Particle size [µm]

-0.2 +0.2 0Radiative Heatingrate [K day-1]

0.001

0.01

0.1

1.0 2.0

CO

2 saturates

initial(cloud-free)

Pre

ssure

[bar

]

cloud layer radiative eq.

radiative-convective eq.

Colaprete, A. and Toon, O. B., 2003, J. Geophys. Res., 108, E4, 5025-5047Gough, D. O., 1981, Sol. Phys., 74, 21–34HITRAN2004/HITEMP, http://www.hitran.comJakosky, B. M. and Phillips, R. J., 2001, Nature, 412, 237–244Kasting, J. F., 1991, Icarus, 91, 1–13Kasting, J. F., Pollack, J. B. and Crisp, D., 1984, J. Atmos. Chem., 1, 403–428 Mischna, M. A., Kasting, J. F. and Freedman, R., 2000, Icarus, 145, 546–554Mitsuda, C., Yokohata, T. and Kuramoto, K., 2006, Proc. of the 39th ISAS

Lunar and Planetary Sympsium, in pressPierrehumbert, R. T. and Erlick, C., 1998, J. Atmos. Sci., 55, 1897–1903

Pollack, J. B., Colburn, D. S., Flasar, F. M., Kahn, R., Carlston, C. E. and Pidek, D., 1979, J. Geophys. Res., 84, 2929–2945

Pollack, J. B., Kasting, J. F., Richardson, S. M. and Polokaoff, K., 1987, Icarus, 71, 203–224

Roberts, R. E., Biberman, L. M. and Selby, J. E. A., 1976, Appl. Opt., 15, 2085–2090

Toon, O. B., McKay, C. P., Ackerman, T. P. and Santhanam, K., 1989, J. Geophys. Res., 94, 16287-16301

Warren, S. G., 1986, Appl. Opt., 25, 2650–2674Yokohata, T., Kosugita, K., Odaka, M. and Kuramoto, K., 2002, Proceedings

of the 35th ISAS Lunar and Planetary Syposium, 13–16

References