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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">ACP</journal-id>
<journal-title-group>
<journal-title>Atmospheric Chemistry and Physics</journal-title>
<abbrev-journal-title abbrev-type="publisher">ACP</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Chem. Phys.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1680-7324</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/acp-15-11513-2015</article-id><title-group><article-title>Cold Smoke: smoke-induced density currents cause unexpected smoke transport near
large wildfires</article-title>
      </title-group><?xmltex \runningtitle{Cold smoke}?><?xmltex \runningauthor{N. P. Lareau and C. B.~Clements}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Lareau</surname><given-names>N. P.</given-names></name>
          <email>neil.lareau@sjsu.edu</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Clements</surname><given-names>C. B.</given-names></name>
          
        </contrib>
        <aff id="aff1"><institution>Fire Weather Research Laboratory, San José State
University, San José, CA, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">N. P. Lareau (neil.lareau@sjsu.edu)</corresp></author-notes><pub-date><day>20</day><month>October</month><year>2015</year></pub-date>
      
      <volume>15</volume>
      <issue>20</issue>
      <fpage>11513</fpage><lpage>11520</lpage>
      <history>
        <date date-type="received"><day>13</day><month>April</month><year>2015</year></date>
           <date date-type="rev-request"><day>2</day><month>July</month><year>2015</year></date>
           <date date-type="rev-recd"><day>18</day><month>September</month><year>2015</year></date>
           <date date-type="accepted"><day>23</day><month>September</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://acp.copernicus.org/articles/.html">This article is available from https://acp.copernicus.org/articles/.html</self-uri>
<self-uri xlink:href="https://acp.copernicus.org/articles/.pdf">The full text article is available as a PDF file from https://acp.copernicus.org/articles/.pdf</self-uri>


      <abstract>
    <p>The first observations of smoke-induced density currents originating from large
wildfires are presented. Using a novel mobile Doppler lidar and additional
in situ measurements, we document a deep (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 km) smoke-filled
density current that propagates more than 25 km at speeds up to 4.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> near a large forest fire in northern California. Based on these
observations we show that the dynamics governing the spread of the smoke
layer result from differential solar heating between the smoke-filled and
smoke-free portions of the atmospheric boundary layer. A calculation of the
theoretical density current speed agrees well with the observed propagation
speed. Additional lidar and photographic documentation of other smoke-filled
density currents demonstrate that these previously unknown phenomena are
relatively common near large wildfires and can cause severe and unexpected
smoke inundation of populated areas.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Smoke from forest fires adversely affects human health (Johnston et al.,
2012), reduces visibility, and alters the earth's radiative energy balance
(Penner et al., 1992). The multi-scale atmospheric dynamics affecting smoke
dispersion cause these smoke impacts to occur both close to, and far from,
large wildfires. For example, when smoke becomes trapped in mountain valleys
it can recirculate for many days (Robock, 1988, 1991), whereas when injected
aloft it can cause downwind impacts thousands of kilometers away (Pahlow et al., 2005;
Fromm et al., 2010). Despite advances in multi-scale smoke transport
modeling, forecasts for smoke dispersion continue to suffer from
uncertainties in fire emissions, smoke injection depth, and the physics of
fire–atmosphere interactions (Larkin et al., 2009; Goodrick et al., 2012).
For example, numerical models struggle to predict smoke concentrations
during complex synoptic-scale and topographic flow interactions, especially
in narrow mountain valleys (Strand et al., 2012). Moreover, many operational
forecast models neglect smoke radiative effects, leading to potential errors
in smoke dispersion forecasts due to unresolved feedbacks between smoke and
atmospheric circulations. These shortcomings are compounded by the lack of
observational studies examining the physical processes and feedbacks that
contribute to smoke dispersion, especially in complex terrain.</p>
      <p>A key component of fire–atmosphere interaction is smoke modification of the
earth's radiative energy balance due to the scattering and absorption of
solar and terrestrial radiation (Penner et al., 1992; Hobbs et al., 1997).
For smoke of sufficient optical depth, the reduction in downwelling shortwave radiation causes a substantive decrease in daytime temperature,
suppressed convective boundary layer growth, or even persistent near-surface
temperature inversions (Robock et al., 1988; Segal et al., 1989; Garrett et
al., 1990). These effects are collectively known as <italic>smoke shading. </italic>Furthermore, since smoke
minimally affects nocturnal infrared cooling, a strong positive feedback
between nocturnal inversion duration and suppressed smoke dispersion can
contribute to multi-week persistent inversions in mountain valleys (Robock,
1988, 1991). These inversions can subject communities to prolonged exposure
to hazardous levels of small particulate matter (e.g., PM<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, which
has been linked to a host of deleterious health affects (e.g., Delfino et
al., 2009; Wegesser et al., 2009; Holstius et al., 2012).</p>
      <p>Smoke shading is also a hypothesized, but heretofore unobserved, mechanism
for thermally driven mesoscale circulations, which can strongly affect smoke
dispersion (Segal and Arritt, 1992). These circulations are dynamically
similar to sea breezes and develop from spatial gradients in surface
sensible heat flux (Segal and Arritt, 1992). The resulting difference in
near-surface air temperature induces thermally direct flow, the leading edge
of which is often delineated by a mesoscale front. The propagation of these
“mesofronts” is well described by density current theory (Simpson and
Britter, 1980). Mesoscale circulations of this sort have been observed due to
heterogeneous snow cover (Johnson et al., 1984), shading by thunderstorm
anvils (Markowski et al., 1997), and gradients in soil moisture and surface
albedo (Rife et al., 2002). Their impact on pollution transport, and in this case
smoke dispersion, is a topic of considerable interest because their flow
characteristics are highly nonlinear and can cause dispersion against the
mean wind (Simpson, 1997).</p>
      <p>In this paper we present first observations and analyses of <italic>smoke-induced density currents, </italic>which are
previously undocumented processes affecting smoke transport near large
wildfires. Using a novel truck-mounted Doppler lidar, radiosonde system, and
automatic weather station (Clements and Oliphant, 2014), we show that these
density currents form due to differential solar heating between smoke-filled
and smoke-free portions of the atmospheric boundary layer and can
unexpectedly spread smoke counter to the ambient wind and over large
distances (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 30 km). Based on these observations and
additional photographic evidence, we propose that smoke-induced density
currents are relatively common near wildfires and must be considered for
improved smoke dispersion forecasts and managing smoke impacts on
communities.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Overview of the smoke-induced density current on 3 August 2014.
<bold>(a)</bold> Map of the regional topography (shaded and shadowed), the Bald and Eiler
fire perimeters (red lines), smoke front isochrones (dashed black lines
labeled in PDT), density current intercept locations (lettered red stars),
and driving route (yellow line). <bold>(b)</bold> Vertical profile of potential
temperature (orange) and lidar backscatter (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> sr<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, black) from
the Hat Creek valley at 09:00 PDT. <bold>(c, d)</bold> False color visible satellite images
overlaid on the topography and showing the smoke extent at 09:30 and 14:00 PDT, respectively. The colors are adjusted to highlight smoke and clouds
(grays) versus smoke-free, cloud-free regions (browns).</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/11513/2015/acp-15-11513-2015-f01.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S2">
  <title>The Bald and Eiler fires</title>
      <p>The primary focus of this study is a smoke-induced density current
originating from the Bald and Eiler fires, which burned in close proximity
in northern California from 30 July–12 August 2014 (Fig. 1a). Both fires
were started by lightning and grew quickly, producing towering convective
plumes reaching depths in excess of 9 km. At night, when fire behavior
moderated, smoke pooled in nocturnal temperature inversions forming within
the broad, flat-bottomed Hat Creek valley (Fig. 1a). For example, on the
morning of 3 August, radiosonde and lidar data show thick smoke confined
within a 400 m, 7 K surface-based temperature inversion (Fig. 1b).
Meanwhile, satellite images indicate that the adjacent Feather Lake plateau
remained smoke free throughout the morning (Fig. 1c), allowing for
significant differential solar heating between the two locales.</p>
      <p>By midday this smoke-induced thermal contrast initiated a propagating
density current that rapidly spread the cold, smoke-filled layer to the
southeast across the Feather Lake plateau. The approximate sequential
positions of the leading edge of the smoke-filled mesofront are traced from
visible satellite images and in situ observations (dashed lines, Fig. 1a).
Between local noon and 15:00 PDT (Pacific daylight time), the smoke spread more than 25 km, inundating
a large area with optically thick smoke (Fig. 1d). Notably, the direction of
smoke propagation was counter to the prevailing southerly flow aloft, which
was as strong as 12.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Lidar backscatter (shading, m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> sr<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and near-surface
temperature (colored squares) for density current intercepts A–E. Times, in
PDT, correspond to the center of the time range in each panel. The data for
intercept D were recorded while the truck was stationary, but have been
mapped to the spatial coordinate using the estimated frontal speed of 4.6 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. All distances are relative to an arbitrary point.</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/11513/2015/acp-15-11513-2015-f02.png"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <title>Observations of the density current</title>
      <p>During its southeastward excursion across the Feather Lake plateau the
leading edge of the smoke-induced density current was intercepted 6 times
with the truck-mounted Doppler lidar and instrumentation. The vertically
pointed 1.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>m lidar samples at <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 Hz using a range gate
resolution of 18 m and a total range of 9.6 km. The lidar backscatter is
sensitive to aerosol in the size range of a few microns, e.g. PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>,
and thus provides high values of backscatter for forest fire smoke. The
lidar also samples the line-of-sight velocity at a resolution of
<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 cm s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>. A unique aspect of the truck-mounted lidar is
the ability to sample in motion, thereby providing spatially and temporally
resolved profiles of the atmospheric boundary layer, or in this case the
structure of a smoke-filled density current as it moved across the
landscape. Further details of the observation platform, including the
radiosonde system, are available in Clements and Oliphant (2014).</p>
      <p>The density current intercept locations and corresponding lidar backscatter
are shown in Figs. 1a, 2, and 3, respectively. Common to each intercept are
the canonical features of an atmospheric density current including a sharp
frontal zone, elevated head, substantive temperature contrast, shallower
following flow, and interfacial wave mixing (Britter and Simpson, 1978; Simpson and Britter, 1979, 1980; Simpson, 1997). For example, the near-surface air temperature (colored squares, Fig. 2) substantively decreases
across the leading edge of the density current, which is defined by a sharp
increase in lidar backscatter where the smoke layer undercuts the smoke-free
boundary layer. The backscatter in the clear air is nearly zero due to
pristine conditions outside of the fire-modified environment.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>Final intercept and return transect through the smoke layer. <bold>(a)</bold>
Lidar backscatter and truck temperature at intercept F at 15:00 PDT, which
marks the foremost advance of the smoke-filled density current. <bold>(b)</bold> Lidar
backscatter and truck temperature during the return transect from intercept
F to the Hat Creek valley. Panel <bold>(a)</bold> is plotted against time while the truck
was stationary, whereas  <bold>(b)</bold> is plotted against driven distance from
intercept F.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/11513/2015/acp-15-11513-2015-f03.png"/>

      </fig>

      <p>The intercept sequence also reveals changes in the density current structure
between the onset, maturation, and eventual decay of the circulation. At the
onset, the leading edge of the circulation is marked by an isolated
smoke-filled updraft followed by shallow near-surface flow (Fig. 2a, b). The
density current circulation subsequently deepens as the smoke layer advances
to the east-southeast. For example, at intercept C the head region is
observed to broaden and deepen (Fig. 2c) and the Doppler velocity data show
increased vertical mixing (not shown). The increased mixing contributes to a
more homogenous density current at intercept D (Fig. 2d), where the isolated
plume at the leading edge is no longer apparent and the following flow is deeper
and better mixed.</p>
      <p>Intercepts E (Fig. 2e) and F (Fig. 3a) reflect the slowing and eventual
decay of the density current circulation. For example, at intercept E the
leading edge of the density current develops an elevated nose wherein the
foremost smoke is found aloft. Laboratory experiments indicate that the
height of the nose depends on the comparative magnitude of the density current
speed and surface frictional effects (Britter and Simpson, 1978; Simpson and
Britter, 1979). In this case the density current advance is slowing, perhaps
due to flow–topography interaction or a decrease in the negative buoyancy.
The backscatter at intercept E also indicates an embedded front within the
following flow, suggesting that cleft and lobe instabilities cause
portions of the front to laterally fold over on itself (Simpson, 1997;
Mayor, 2011).</p>
      <p>Finally, intercept F (Fig. 3a) corresponds with the foremost advance of the
smoke layer, consistent with the satellite observations and the frontal
isochrones in Fig. 1a. At that time the leading edge of the smoke layer was
diffuse and ragged as it drifted back and forth across the truck-mounted
instrumentation, which was now parked. Following the stagnation of smoke
layer the truck was driven back to the Hat Creek valley. The lidar
backscatter along the return transect reveals the full extent of the smoke
layer blanketing the Plateau (Fig. 3b). Substantial wave activity and a
continued multi-layered structure are noted and the truck temperature sensor
indicates suppressed near-surface temperatures throughout the smoke layer,
with the coldest temperatures corresponding to the regions of the highest
aerosol backscatter, indicative of smoke shading. The western edge of the
smoke layer, and a corresponding increase in near-surface temperature, was
subsequently observed within the Hat Creek valley.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>The anatomy of the smoke-induced density current during intercept
D at 14:02 PDT. <bold>(a)</bold> Logarithmic attenuated backscatter (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> sr<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>
overlaid with the lidar derived front-relative horizontal winds (orange),
radiosonde front-relative winds (yellow), radiosonde potential temperature
(red), and near-surface air temperatures (shaded squares). The maximum
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>x</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> and minimum (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>T</mml:mi><mml:mi>n</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> temperatures are annotated. <bold>(b)</bold> lidar
vertical velocity (shaded) and smoke backscatter (black contours at <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4,
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.5, and <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5 m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> sr<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/11513/2015/acp-15-11513-2015-f04.png"/>

      </fig>

<sec id="Ch1.S3.SS1">
  <title>Density current dynamics</title>
      <p>In this section, the dynamics governing the advance of the smoke-induced
density current are examined using additional lidar wind profiles and
radiosonde data during the fourth intercept (Fig. 4). These data were
obtained as the density current passed over the truck-mounted
instrumentation, which had been parked in advance of the propagating smoke
front. The wind profiles were collected every 3 min using a Doppler
beam swinging technique (Lane et al., 2013). As we show below, these
observations, when compared with laboratory experiments and theory, support
our hypothesis that the observed smoke propagation is “self-induced” due
to the thermal contrast resulting from smoke shading of the boundary layer.</p>
<sec id="Ch1.S3.SS1.SSS1">
  <title>Thermal structure</title>
      <p>At the surface, the warmest air (29.3 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) immediately precedes the
leading edge of the density current while the coldest air (26.4 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) follows about 4 km (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 17 min) behind (colored squares,
Fig. 4a). From the equation of state, we compute that the observed
temperature difference is equivalent to a <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1 % increase in
air density within the cold smoke-filled layer. The source of the
temperature contrast is the differential solar heating between the
smoke-free Feather Lake plateau and the smoke-filled nocturnal inversion in
the Hat Creek valley. Similar cross-front temperature (i.e., density)
gradients were observed during the first four intercepts, but decreased
thereafter as the density current slowed and then came to rest.</p>
      <p>Above the surface, the density current potential temperature profile
exhibits a multi-layered stably stratified structure (red line, Fig. 4a). The
lowest 850 m of the flow is composed of cold, undiluted, smoke-filled air
emanating from the Hat Creek valley. The mean potential temperature deficit
is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 K, indicating that the layer averaged density contrast
is somewhat less than that determined from the surface temperatures alone.
This result suggests that a shallow super-adiabatic layer preceding the
arrival of the density current influences the near-surface temperature
gradient.</p>
      <p>The second layer, which is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 500 m deep, is linearly
stratified and contains intermediate smoke concentrations. The linear
stratification and diluted smoke are due to wave-generated mixing of the
scalar properties of the lowest layer with the warmer, smoke-free air ahead
of the advancing front. This wave-driven entrainment is visually apparent in
the backscatter data during each of the intercepts and contributes to
increasing smoke depth throughout the evolution of the density current.</p>
      <p>The layer above the density current comprises smoke-free, neutrally
stratified, and potentially warmer air in the ambient convective boundary
layer. The density current undercuts this layer as it spreads to the
southeast. As is typical, the convective boundary layer is capped by a
temperature inversion, which in this case acts as a semi-rigid lid on the
system, making our environmental observations comparable to idealized
laboratory experiments of density currents propagating into neutrally
stratified environments (Simpson and Britter, 1980).</p>
</sec>
<sec id="Ch1.S3.SS1.SSS2">
  <title>Kinematic structure</title>
      <p>The multi-layered structure of the density current is also observed in the
front-relative wind (vectors, Fig. 4a), which is computed by subtracting the
mean motion of the front from the wind profiles. In the front-relative
reference frame, the lowest layer (i.e., the undiluted core) exhibits a
coherent overtaking flow that exceeds the speed of the front. The ratio of
the overtaking speed to the front speed is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 1.3, reflecting a
6 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> flow from 305 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, representative of the mean motion of the
smoke front across the plateau.</p>
      <p>An opposing front-relative wind of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 6 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> is observed
ahead of and above the density current. In absolute terms, the near-surface
flow is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 2 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> from the southeast whereas the flow
aloft is <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 12.5 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> from the south. As such, it is
clear that the smoke layer moves in opposition to the ambient wind near the
surface and at an approximately right angle to the flow aloft. This motion
constitutes an unexpected spread of the smoke, which is typically assumed to
advect with the ambient wind.</p>
      <p>The adjustment between the ambient flow in the undisturbed convective
boundary layer and the flow within the density current occurs within the
intermediary layer, which exhibits a sharply sheared wind profile and is
dominated by front-relative rearward flow. This flow sweeps diluted smoke
generated from wave-driven entrainment towards the northwest and contributes
to the deepening of the density current overtime.</p>
      <p>The entrainment and mixing is most substantial in the density current head.
There, the strong convergence between the overtaking flow and the opposing
flow produces a 1 km long, 2 km deep, rearward sloping updraft (Fig. 4b).
The maximum vertical velocity is 8 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, significantly exceeding
typical vertical velocities in the convective boundary layer and reflecting
a major pathway for vertical mixing of smoke.</p>
</sec>
<sec id="Ch1.S3.SS1.SSS3">
  <title>Speed of the front</title>
      <p>The speed of the front is initially estimated from the location and timing
of adjacent smoke front intercepts with the truck-mounted instruments (Fig. 1a). For example, using geometric considerations we determine that the front
moved at an average speed of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 4.6 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> between
intercepts C and D, but then slowed substantially as it passed through
intercept E, and eventually came to rest at intercept F, which marks the
foremost extend of the smoke layer near 15:00 PDT (Fig. 1a).</p>
      <p>To test the hypothesis that the observed spread of the smoke layer results
from the differential heating across the smoke front, we compare the observed
front speed at intercept D with the theoretical density current speed
(Simpson and Britter, 1980; Mayor, 2011) given by
              <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>f</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mi>C</mml:mi><mml:msqrt><mml:mrow><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mi>g</mml:mi><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:msqrt><mml:mo>-</mml:mo><mml:mn>.62</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">wind</mml:mi></mml:msub><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
            In Eq. (1) <inline-formula><mml:math display="inline"><mml:mi>C</mml:mi></mml:math></inline-formula> is the internal Froude number (0.82), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the
mean potential temperature of the undiluted smoke layer (<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 314 K), <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the ambient potential temperature
(<inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 316 K), <inline-formula><mml:math display="inline"><mml:mi>g</mml:mi></mml:math></inline-formula> is gravity, <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>H</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is the depth of the undiluted layer (850 m), and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">wind</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is the ambient wind component opposing the frontal motion near
the surface (2 m s<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. With these values, the computed frontal speed is
4.7 m s<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, which closely matches the estimated speed determined from
the frontal displacement.</p>
      <p>This important result demonstrates that the propagation of the smoke layer
is attributable to the thermal contrast resulting from smoke shading and
confirms the hypothesis of Segal and Arritt (1992) that thick smoke can
induce “non-classical” mesoscale circulations. As a corollary, we also
conclude that unlike sediment-driven density currents in other geophysical
flows (turbidity currents, powder avalanches, etc.) (Simpson, 1997),
the increase in density due to the mass of suspended smoke is minimally
important to this circulation. This conclusion is reinforced by considering
the contributions to the negative buoyancy (<inline-formula><mml:math display="inline"><mml:mi>B</mml:mi></mml:math></inline-formula>) of an air parcel, which,
following Markowski and Richardson (2011), is given by
              <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi>B</mml:mi><mml:mo>≈</mml:mo><mml:mfenced open="[" close="]"><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">a</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle></mml:mfenced><mml:mo>+</mml:mo><mml:mfenced close=")" open="("><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mi>R</mml:mi><mml:mrow><mml:msub><mml:mi>C</mml:mi><mml:mi mathvariant="normal">p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mfenced><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msup><mml:mi>P</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow><mml:mover accent="true"><mml:mi>P</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:mfrac></mml:mstyle><mml:mo>-</mml:mo><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub></mml:mfenced><mml:mi>g</mml:mi><mml:mspace width="0.125em" linebreak="nobreak"/><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
            where the first term in the brackets is the thermal anomaly as in Eq. (1),
the second term is the pressure perturbation, and the third term is the
mixing ratio of suspended particulates, in this case smoke (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>r</mml:mi><mml:mi mathvariant="normal">s</mml:mi></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>. From
Eq. (2) it can be shown that smoke loading of <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 g kg<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
is necessary to produce a density perturbation comparable to the observed
thermally induced negative buoyancy (e.g., <inline-formula><mml:math display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3 K/300 K). Since,
smoke concentrations are unlikely to significantly exceed 1000 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">µ</mml:mi></mml:math></inline-formula>g kg<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> outside of vigorous fire-generated updrafts
(<uri>http://www.arb.ca.gov/smp/progdev/pubeduc/smphfs0702.pdf</uri>; Trentmen et al.,
2006), the suspended smoke is likely only important for its radiative
effects and not its direct contribution to negative buoyancy.</p>
</sec>
</sec>
</sec>
<sec id="Ch1.S4">
  <title>Discussion</title>
      <p>In this section we present additional observations of smoke-induced density
currents near large wildfires. These data indicate that smoke-induced
density currents are a surprisingly common feature of large multi-day forest
fires. We also discuss the interaction of these density currents with other
thermally driven flows in complex terrain.</p>
      <p>Figure 5 presents additional mobile lidar backscatter and truck air
temperature observations obtained adjacent to the Eiler fire on 2 August,
the day before the density current examined in Sect. 3. These data show a
north–south propagating smoke-filled layer accompanied by a 2 K thermal
contrast between the smoke-free and smoke-filled portions of the boundary
layer. Compared to the observations in Sect. 3, this smoke-layer possesses
fewer distinct density current characteristics and propagates over a more
limited geographic extent. Nevertheless these data provide additional
evidence for smoke shading as a mechanism to produce substantive horizontal
gradients in the near-surface temperature capable of driving mesoscale
circulations that affect smoke transport.</p>
      <p>Further, it is interesting to note that the density current timing on both 2
and 3 August is similar (e.g., near noon), and we speculate that these
density currents may superimpose on thermally driven flow reversals from
down valley to up valley winds. While we lack sufficient observations
preceding the Bald and Eiler fires to assess how smoke alters the strength
and timing of these terrain-driven flows, it stands to reason that the up
valley afternoon flow will be enhanced due to the differential smoke shading
superimposed on the typical along valley and along slope temperature
gradients. In this sense, the smoke-filled density current may behave
similarly to sea-breeze circulations embedded in upslope flows in coastal
topography, a superposition which is known to produce a stronger circulation
than either process acting independently (Mahrer and Peilke, 1977).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Lidar backscatter (m<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> sr<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula> during two successive
density current intercept on 2 August, 2014 in the Hat Creek valley. The
colored squares show the near-surface air temperature.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/11513/2015/acp-15-11513-2015-f05.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Photographic sequence of a smoke-filled density current
originating from the King fire on 20 September 2014. The smoke is observed
to spill across the crest of the Sierra Nevada and into the Tahoe Basin. The
frames extracted from a time-lapse animation courtesy of the Nevada Seismic
Laboratory. Time-lapse available at <uri>http://youtu.be/SLVKUEoMGwI</uri>.</p></caption>
        <?xmltex \igopts{width=236.157874pt}?><graphic xlink:href="https://acp.copernicus.org/articles/15/11513/2015/acp-15-11513-2015-f06.png"/>

      </fig>

      <p>Additional evidence for the propensity for smoke-induced density currents
and the interaction of density currents with diurnal mountain wind systems
is presented in Fig. 6, which shows a sequence of photographs extracted from
a time lapse of a smoke-filled density current on 20 September 2014. In this
instance the smoke layer spread more than 30 km from its source (the King
fire; <uri>http://inciweb.nwcg.gov/incident/4108/</uri>), crossed the crest of
California's Sierra Nevada, and propagated across Lake Tahoe. Inspection of
the photographs and time-lapse animation (available at:
<uri>http://youtu.be/SLVKUEoMGwI</uri>) indicate the presence of canonical density
current features at the leading edge of the smoke layer. The resulting smoke
inundation of the Tahoe Basin forced the cancelation of a major sporting
event due to hazardous levels of PM<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn>2.5</mml:mn></mml:msub></mml:math></inline-formula>
(<uri>http://www.ironman.com/triathlon/news/articles/2014/09/tahoe-cancellation.aspx#axzz3RIVH89F0</uri>).</p>
      <p>Compared to the Bald and Eiler fire cases, the King fire density current is
more clearly embedded within a larger scale diurnal wind reversal. Satellite
images show a widespread upslope southwesterly flow developing in the early
afternoon of 20 September (not shown), which is likely a manifestation of
the Washoe Zephyr, a thermally driven wind system that penetrates across the
crest the Sierra Nevada and becomes a downslope afternoon wind (Zhong et
al., 2008). While this broader wind reversal is important in the
displacement of the smoke layer, it is quite clear from the photographic
sequence that the local spread characteristics are strongly affected by its
density current dynamics. For example the leading edge of the layer advances
to the southeast in opposition to the background synoptic-scale flow and
exhibits a series of lateral cleft and lobe instabilities.</p>
      <p>At issue for future studies is the degree to which diurnal mountain wind
systems are altered by smoke shading. Previous investigators have
established that smoke can delay, or even prevent, the break up of nocturnal
temperature inversions, but no comprehensive studies of smoke-modified
thermally driven circulations in complex terrain have been conducted. The
smoke-induced density currents examined in this study are likely just one
manifestation of these smoke-shading effects, and a more comprehensive
assessment of smoke-modified boundary layers is needed to better understand
local transport of smoke from wildfires.</p><?xmltex \hack{\newpage}?>
</sec>
<sec id="Ch1.S5" sec-type="conclusions">
  <title>Conclusions</title>
      <p>In this paper we have presented a set of novel observations of smoke-induced
density currents and established that the driving mechanism in their
propagation is the thermal difference due to reduced solar insolation
beneath the smoke layer. Our results indicate that these self-propagating
mesoscale fronts can cause severe and unexpected smoke impacts, especially
since their flow can oppose the ambient wind. Additional observations
indicate that smoke-induced density currents are relatively common near
large multi-day wildfires. Our findings also imply that smoke-modified
boundary layers might contribute to changes in fire behavior that impact
both firefighter and community safety. For example, smoke-induced density
currents can contribute to rapid wind shifts, drastic reductions in
visibility, and delayed inversion breakup. Since smoke modeling and forecast
tools typically neglect smoke radiative forcing they can not account for
these phenomena, and due to the inability of satellites to resolve
fine-scale boundary-layer processes there is a need for observational
studies within the fire-modified environment to improve our understanding of
the broader range of smoke-modified boundary layers and other
fire–atmosphere interactions and feedbacks.</p>
</sec>

      
      </body>
    <back><notes notes-type="authorcontribution">

      <p>C. B. Clements conceived the field campaign design, N. P. Lareau and C. B. Clements conducted the
measurements and the collection of the data, N. P. Lareau led the data analysis and
writing, and C. B. Clements provided contributions to the writing.</p>
  </notes><ack><title>Acknowledgements</title><p>The lidar, truck, and radiosonde data are available upon request from the
authors.  The photographs of the smoke-filled density current moving across Lake
Tahoe were provided by the Nevada Seismic Laboratory at the University of Nevada, Reno. Satellite data are archived on the The Comprehensive Large Array
data Stewardship System (CLASS) at <uri>www.class.noaa.gov</uri>. This
research is supported under grant AGS-1151930 from the National Science
Foundation.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: B. Vogel</p></ack><ref-list>
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