The Impact of Turbulent Vertical Mixing in the Venus Clouds on Chemical Tracers Maxence Lefèvre1 Emmanuel Marcq2 and Franck Lefèvre2

2025-05-06 0 0 2.65MB 24 页 10玖币
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The Impact of Turbulent Vertical Mixing in the Venus Clouds on
Chemical Tracers
Maxence Lefèvre1, Emmanuel Marcq2, and Franck Lefèvre2
1Department of Physics (Atmospheric, Oceanic and Planetary Physics),
University of Oxford, Oxford, UK
2LATMOS/IPSL, UVSQ Université Paris-Saclay, Sorbonne Université, CNRS,
France
Accepted in Icarus
Abstract
Venus’ clouds host a convective layer between roughly 50 and 60 km that mixes heat, momen-
tum, and chemical species. Observations and numerical modelling have helped to understand
the complexity of this region. However, the impact on chemistry is still not known. Here, we
use for the first time a three-dimensional convection-resolving model with passive tracers to
mimic SO2and H2O for two latitudinal cases. The tracers are relaxed towards a vertical profile
in agreement with measured values, with a timescale varying over several orders of magnitude.
The vertical mixing is quantified, it is strong for a relaxation timescale high in front of the
convective timescale, around 4 hours. The spatial and temporal variability of the tracer due
to the convective activity is estimated, with horizontal structures of several kilometres. At the
Equator, the model is resolving a convective layer at the cloud top (70 km) suggested by some
observations, the impact of such turbulent activity on chemical species is accounted for the first
time. From the resolved convective plumes, a vertical eddy diffusion is estimated, consistent
with past estimations from in-situ measurements, but several orders of magnitude higher than
values used in 1D chemistry modelling. The results are compared to observations, with some
spatial and temporal variability correlation, suggesting an impact of the convective layer on the
chemical species.
1 Introduction
The strong dynamical activity inside the Venusian cloud layer has been assessed since the
beginning of the Venus spacecraft exploration. Cloud images by the Mariner 10 mission (Belton
et al., 1976) and the Pioneer Venus spacecraft (Rossow et al., 1980) near the subsolar point
showed cellular features suggesting convective cells with diameters between 200 and 1000 km.
The convective activity was first measured by the Pioneer Venus radio occultation experiment
(Seiff et al., 1980) from 50 to 55 km of altitude, and was then confirmed by the radio occultation
experiment onboard the Magellan probe (Hinson and Jenkins, 1995). The VeGa balloons flew
in that altitude range close to the Equator and measured vertical winds between -4 and 2 m s´1
(Linkin et al., 1986; Lorenz et al., 2018) and convective cell diameter from several hundred
meters to tens of kilometers (Kerzhanovich et al., 1986) around 54 km of altitude. The VeRa
1
arXiv:2210.09240v1 [astro-ph.EP] 17 Oct 2022
radio occultation device on board of Venus Express studied in detail this convective layer and
measured a strong latitudinal variability of the depth of the layer (Tellmann et al., 2009),
reaching 10 km close to 80˝of latitude, almost twice the value of the equatorial regions. The
radio occultation experiment in the Akatsuki spacecraft measured variability of the convection
depth with local time (Imamura et al., 2017), this layer being thicker a night.
In addition to the convection layer in the deep cloud layer, the Venus Monitoring Camera
(VMC) observed the cellular features at the top of the cloud, about 70 km of altitude, at
the subsolar point suggesting convective activity (Markiewicz et al., 2007; Titov et al., 2012).
A convective layer at this altitude is the main hypothesis for these observed structures, with
measured convective cells from 20 to a few hundred of kilometres. However, the different radio
occultation on board of Venus Express and Akatsuki radio occultation did not measure any
clear neutral-stability layers at the subsolar point (Ando et al., 2018, 2020).
Gravity waves emitted from the convective layer have been observed by different space
probes, Pioneer Venus radio science observed evidenced small-scale waves with vertical wave-
lengths of about 7 km above and below the cloud layer (Seiff et al., 1980; Counselman et al.,
1980), the Venus Express instruments measured the wavelengths of the waves emitted above
the cloud layer, ranging between about 2 and 3.5 km vertically (Tellmann et al., 2012) and
from 2 km to hundreds of kilometres horizontally (Peralta et al., 2008; Piccialli et al., 2014).
The gravity waves in this region have also been studied with Akatsuki (Imamura et al., 2018;
Mori et al., 2021).
Decades of spacecraft and ground-based observations of sulphur dioxide and water show
highly variable abundance in the upper cloud deck, with timescales from hours to decades
(Marcq et al., 2020; Encrenaz et al., 2016; Vandaele et al., 2017a,b). Convection is one of the
hypotheses for the short, from hours to days, term variability (Marcq et al., 2013; Vandaele
et al., 2017a). HST Imaging Spectrograph was used to observe Venus (Jessup et al., 2015, 2020)
at cloud-top altitudes, albedo darkening was measured and explained by a possible increase of
the convective vertical mixing and the injection of the unknown absorbing species. Using the
SOIR/Venus Express CO2and CO profiles above the clouds and 1D photochemical model,
Mahieux et al. (2021) estimated the vertical mixing from 80 to 140 km.
1D models have been developed to study the chemistry of the Venusian atmosphere. Krasnopol-
sky (2007) and Krasnopolsky (2013) focused on the lower atmosphere and Krasnopolsky (2012),
Zhang et al. (2012) and Parkinson et al. (2015) and Shao et al. (2020) on the middle atmosphere.
Yung et al. (2009) and Bierson and Zhang (2020) and Rimmer et al. (2021) modelled the atmo-
sphere from the surface to 110 km. These models cannot resolve the turbulent activity inside
the cloud and therefore use the eddy diffusivity coefficient formalism to represent the different
turbulent processes in the atmosphere like convection. There is a large uncertainty over the
value of this coefficient in the Venusian atmosphere. These models showed that the mesospheric
abundance of several species (especially SO2) was very sensitive to the eddy diffusivity values
and vertical gradient.
Due to the lack of understanding of the turbulence inside the clouds of Venus, the effect of the
cloud convective layer and gravity waves on the chemistry and microphysics has not been studied
in detail. Only McGouldrick and Toon (2008) gave an insight into the change of optical depth
due to the convection and gravity waves, using an idealized 2D (zonal/vertical) representation
of the Venus cloud convective layer. Morellina and Bellan (2022) studied the vertical mixing due
to the species stratification in the Venus lower atmosphere and clouds using Direct Numerical
Simulation. High density-gradient magnitude regions are formed with increasing stratification
and low stratification conditions produce a more uniform spatial distribution of the density.
To understand the turbulence activity inside the Venus cloud layer, the limited-area Venus
mesoscale model (VMM) adapted from a terrestrial hydrodynamical solver (Skamarock and
Klemp, 2008) was developed at Laboratoire de Météorologie Dynamique by Lefèvre et al. (2017)
2
and later coupled to the full set of physical packages for Venus developed at Institut Pierre
Simon Laplace (IPSL) (Lebonnois et al., 2010, 2016; Garate-Lopez and Lebonnois, 2018) to
simulate only a specified region of the planet with a fine resolution.
The 3D Large-Eddy Simulation (LES) mode was used to study the convection and small-
scale gravity waves at different latitudes and local times (Lefèvre et al., 2017, 2018). The re-
solved convection depth is consistent with observations with updrafts cells diameter of 20 km.
The gravity waves emitted by the convective region are also consistent in amplitude and wave-
length with observations. Cloud-top convective activity is also present around the subsolar
point.
In this study we propose to use this convection-resolving to model at noon for two lati-
tudinal cases, the Equator and 75˝, with idealized passive tracers representing SO2and H2O
to quantify the impact of the resolved convective layer vertical mixing on the Venusian cloud
layer chemistry, and to compare the results with 1D chemical models and observations. The
resolved convective plumes give an unprecedented insight into the cloud convective advection
and chemistry dynamics.
Our paper is organized as follows. The model is described in Section 2. In Section 3, the
impacts of convective motions and gravity waves are presented. The vertical eddy diffusivity is
estimated in Section 4. Results are discussed in Section 5. Our conclusions are summarized in
Section 6.
2 Modelling
2.1 Mesoscale modelling for Venus
Our mesoscale model for Venus is based on the dynamical core of the Advanced Research
Weather-Weather Research and Forecast (hereinafter referred to as WRF) terrestrial model
(Skamarock and Klemp, 2008). The WRF dynamical core integrates the fully compressible
non-hydrostatic Navier-Stokes equations on a defined area of the planet. The conservation of
the mass, momentum, and entropy are ensured by an explicitly conservative flux-form formula-
tion of the fundamental equations (Skamarock and Klemp, 2008), based on mass-coupled me-
teorological variables (winds and potential temperature). The LES mode is used in this study,
and the parametrization of the unresolved small-scale eddies is performed using a subgrid-scale
prognostic Turbulent Kinetic Energy closure by Deardorff (1972). This method has been used
for Earth convection study (Moeng et al., 2007), for the Martian atmosphere (Spiga et al.,
2010), and for terrestrial exoplanets (Lefèvre et al., 2021).
Following the work of Lefèvre et al. (2018) for Venus, the WRF core is coupled to the
radiative transfer code of the IPSL Venus General Circulation Model (GCM) (Lebonnois et al.,
2015) based on Eymet et al. (2009) net-exchange rate (NER) formalism computing the energy
between the layers prior to the dynamical simulations, separating temperature-independent
coefficients from the temperature-dependent Planck functions of the different layers. The cloud
model is based on Haus et al. (2014) and Haus et al. (2015), with a latitudinal variation of
the cloud by setting 5 distinct latitude intervals: 0˝to 50˝, 50˝to 60˝, 60˝to 70˝, 70˝to 80˝
and 80˝to 90˝. The cloud model is set prior to the simulations and does not interact with the
dynamical features resolved by the model. The solar heating rates are computed using look-up
tables (Haus et al., 2015) of vertical profiles of the solar heating rate as a function of the solar
zenith angle.
3
2.2 A Passive tracer approach
Tracers have been included in the model and are set to represent SO2and H2O . The tracers
are not radiatively active. The chemistry, photodissociation, and condensation sources and
sinks are modelled by a linear relaxation of the tracer abundance qtoward a prescribed vertical
profile q0pzqwith a relaxation timescale τcomputed as :
Bqpx, y, z, tq
Btq0pzq ´ qpx, y, z, tq
τ(1)
The two prescribed relaxation profiles are displayed in Fig 1. These two profiles are con-
structed as follows: assuming a constant abundance value below the clouds from spectroscopic
measurements between 30 and 40 km (Bézard and de Bergh, 2007), 150 ppm for SO2and
30 ppm for H2O . This value of SO2is consistent with in-situ measurements at the bottom of
the cloud deck by VeGa 1 and VeGa 2 entry probes (Bertaux et al., 1996). From 48 km upwards
an exponential decay is assumed going through 0.5 ppm at 65 km, long-term ground observa-
tions (Encrenaz et al., 2012), for SO2and 2 ppm at 70 km for H2O , VIRTIS and SPICAV
measurements (Cottini et al., 2012; Fedorova et al., 2016). These profiles have been constructed
to represent values in the cloud layer, and were constructed for simplicity as constant below
the cloud deck and decreasing above. With such simple profiles, there are discrepancies with
observations. The value of SO2in the lower cloud is slightly underestimated (Oschlisniok et al.,
2021). Above the clouds, both SO2and H2O are decreasing despite the inversion observed in
SPICAV/SOIR (Mahieux et al., 2015) and SPICAV/UV (Evdokimova et al., 2021) for SO2,
and the very low vertical gradient between 80 and 120 km for H2O observed by SOIR/VEx
(Chamberlain et al., 2020). The profile of both SO2and H2O outside the cloud layers does not
impact the results obtained within the clouds. No source or sinks at the surface or the top
boundary are considered. The lateral boundary conditions are doubly periodic. Two latitudinal
cases are considered in this study, the Equator and 75˝, to explore the latitudinal variability
in terms of convective activity. The relaxation profiles are the same for the two latitudinal
cases. Only one local time is considered in this study because of the small diurnal cycle of the
convective layer in the model. At night, there is no cloud-top convective layer and this region is
similar in terms of dynamics to the high latitude at noon. The chemical timescale of SO2and
H2O is not well-constrain over the column, latitudes and local time. Therefore, the relaxation
timescale τis set to a constant value over the column, with sensitivity tests ranging over values
of 102,103,104,105and 106s. This broad range of relaxation timescale was chosen to be
compared to the dynamical timescale of the convective layer around 104s (see Section 2.3)
with two orders of magnitude above and below this value. Shao et al. (2020) reports chemical
timescale below 104s in the upper cloud and as high as 108s. Zhang et al. (2012) reports that
the nucleation timescale in the clouds can be below 102s. There are no bottom or top boundary
conditions for the tracers, the initial profiles for SO2and H2O are considered at equilibrium in
regard to chemistry, photochemistry and condensation/vaporization.
2.3 Simulation settings
The simulation settings in terms of resolution and time-step are identical to Lefèvre et al.
(2018)’s simulations, with a horizontal resolution of 400 m over 64 km, a vertical domain with
300 points from the surface to 90 km, and a time-step of 1 s. The lateral boundary conditions
are doubly periodic. The Lefèvre et al. (2018)’s equilibrium state at the Equator and 75˝at
noon are used as the initial state is shown in Fig 2, with the presence of a deep convective
layer, between 47 and 56 km at the Equator and between 46.5 and 57 km at high latitude,
as well as a hypothetical cloud top convective layer between 66 and 74 km at the Equator.
The amplitude of the vertical wind and the diameter of the convective cells are consistent
4
Figure 1: Vertical relaxation tracer abundance profile (ppm). The circle represents the H2O
value from Cottini et al. (2012) and Fedorova et al. (2016), the star represents the SO2value
from Encrenaz et al. (2012, 2015) and the horizontal line represents tropospheric abundance
measurements from Bézard and de Bergh (2007).
with in-situ measurements of the VeGa balloons (Linkin et al., 1986; Sagdeev et al., 1986).
Regarding the gravity waves, with or without the presence of a cloud-top activity, the amplitude
of the gravity wave in temperature perturbations and vertical wavelengths are consistent with
the radio-occultation measurements (Tellmann et al., 2012), and the horizontal wavelength is
consistent with cloud-top UV observations (Piccialli et al., 2014). With a realistic radiative
transfer and incoming solar heating, characteristic of an average UV absorber abundance (Lee
et al., 2019), the model exhibits a cloud-top convective layer with convective cells diameters
consistent with the VMC observations (Markiewicz et al., 2007; Titov et al., 2012) that is
still speculative but the main hypothesis due to the absence of measurements of corresponding
static stability vertical distribution. This cloud-top convective layer has only a limited impact
on the deep cloud convective layer because the source, IR heating at cloud base from the
troposphere, is unaffected. The thin neutral at 75°of latitude at 7 km is an artefact from
the radiative transfer and large-scale heating extracted from the LMD Venus GCM with a
much more coarse resolution than the convection-resolving model. To avoid spurious reflection
of upward propagating gravity waves on the top boundary of the model, a Rayleigh damping
layer is applied over the 8 top kilometres with a damping coefficient of 0.08 s´1. The tracers are
initialized with relaxation profiles (Fig 1) and then advected by the dynamics: the convection,
wind shear, and gravity waves. The outputs of the simulations are shown after about two Earth
days of simulation.
3 Mixing
Fig 3 shows the domain averaged vertical profiles of SO2at the Equator and 75˝. The presence
of the convective layer, well-mixed, in the deep cloud region is noticeable with a constant tracer
abundance value for larger relaxation timescales of 105and 106s (Fig 3-b). To illustrate the
5
摘要:

TheImpactofTurbulentVerticalMixingintheVenusCloudsonChemicalTracersMaxenceLefèvre1,EmmanuelMarcq2,andFranckLefèvre21DepartmentofPhysics(Atmospheric,OceanicandPlanetaryPhysics),UniversityofOxford,Oxford,UK2LATMOS/IPSL,UVSQUniversitéParis-Saclay,SorbonneUniversité,CNRS,FranceAcceptedinIcarusAbstractVe...

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