Cassandra Elmer Master’s Thesis

Master’s Thesis

Velocity and Temperature Variability
on the Chukchi Slope

Abstract: The Canada Basin Acoustic Propagation Experiment (CANAPE) surveyed the Chukchi Slope in 2016 and 2017 with shipboard and moored measurements. I used their hydrography and velocity measurements, as well as wind and sea ice measurements, to characterize the Chukchi Slope variability. In general, the velocity on the Chukchi Slope shows two cores. The shallow portion flows westward along the shelfbreak as the Slope Current and the deeper portion flows eastward as the Shelfbreak Jet. The temperature profile has three major layers: meltwater, Pacific water, and Atlantic water. These features are not constant, and sea ice is the greatest predictor of the Chukchi Slope Current variability. The first mode of the empirical orthogonal function (EOF) analysis explains 65% of the variance in the temperature for 2016-2017. This mode resembles the mean temperature in summer and winter as defined by sea ice cover. When the sea ice forms and melts, the Slope Current reverses direction. I investigated the effects of wind stress and Ekman veering, but do not find significant correlation. Note, however, that the presence of sea ice limits the influence of wind stress on the water column, and that the shallowest velocity measurement is 20 m.

The following is a summary based on my Physical Ocean Science and Engineering Master’s defense
given at the University of Delaware on Tuesday, December 17, 2019.

Figures were created by me for the full-text PDF (with some modifications for slideshow readability) unless noted.

Introduction

The Arctic and the Chukchi Sea
Sea Ice Changes
Sea ice extent for September in 1996 and 2019 from the National Snow and Ice Data Center, University of Colorado Boulder. Orange point indicates study area.
Sea ice extent for September in 1996 and 2019 from the National Snow and Ice Data Center, University of Colorado Boulder. Orange point indicates study area.

Arctic summer sea ice extent is drastically different than previous years. Shown here is the difference between the September sea ice extent in 1996, the year I was born, and 2019, the year of this thesis defense. The large orange dot indicates the area of the Chukchi Sea I studied to characterize the “new Arctic”.

The Chukchi Sea
Schematic of Chukchi Sea currents adapted from Corlett and Pickart (2017). Orange marker indicates my study area.
Schematic of Chukchi Sea currents adapted from Corlett and Pickart (2017). Orange marker indicates my study area.

The Chukchi Sea is bordered by Siberia and Alaska. To the northeast is the Beaufort Gyre, which is a major freshwater storage area for the Arctic Ocean. Warm Atlantic water enters the Chukchi Sea from the northwest.

This schematic by Corlett and Pickart (2017) depicts the currents in the Chukchi Sea. Three main branches that enter through Bering Strait eventually lead to Barrow Canyon. From there, all the water was thought to flow east, but we are now seeing a westward flow as well.

I am looking closer at the Chukchi Slope, marked with an orange dot, to characterize this westward flow in 2016 and 2017.

Study Area
Study area map. The red box in the inset indicates the zoomed-in main map extent. Green x markers are from the 2016 CTD survey, red + markers are from the 2017 CTD survey, and circle markers are moorings. We averaged sea ice concentration in the gray bounding box.
Study area map. The red box in the inset indicates the zoomed-in main map extent. Green x markers are from the 2016 CTD survey, red + markers are from the 2017 CTD survey, and circle markers are moorings. We averaged sea ice concentration in the gray bounding box.

My study area is a portion of the Chukchi Slope, as you can see marked by the red bounding box in the map inset above.

I used

  • satellite-measured sea ice concentration averaged over the area in the light gray shaded box
  • reanalysis winds over the area in the map inset
  • CTD casts taken in 2016 (green x) and 2017 (red +)
  • moorings (circles) with thermistors and one ADCP

Basic Structure

What did the Chukchi Slope look like in 2016 and 2017?
Hydrographic Profile and Water Masses
Left: hydrographic profile (temperature, salinity, and density with depth) from the deepest CTD cast along the mooring line. Right: water mass layer definitions.
Left: hydrographic profile (temperature, salinity, and density with depth) from the deepest CTD cast along the mooring line. Right: water mass layer definitions.

A good place to start looking at the Chukchi Slope is temperature, salinity, density with depth. Above is the data from the deepest 2017 CTD station along the mooring line. As you can see, the density looks nearly identical to the salinity at these temperatures, so I will focus my discussion on other parameters.

There are four main layers of water masses. I follow the naming convention of Corlett and Pickart (2017) and define

  • Top: Meltwater (MW) – cold and fresh river runoff and melted sea ice
  • Upper middle: Bering Summer Water (BSW) – warm and moderately salty summer Pacific water
  • Lower middle: Remnant Winter Water (RWW) – cold and moderately salty winter Pacific water
  • Bottom: Atlantic Water (AW) – warm and very salty Atlantic water that traveled the Arctic

Although this is a good representation of the Chukchi Slope, it is only one cast out of 125. So I will show them all using a temperature-salinity (TS) plot.

Temperature-Salinity
Temperature-salinity (TS) diagram for 2016 and 2017 hydrographic surveys. Water mass boundaries are according to Corlett and Pickart (2017). Color indicates percentage of that year's data.
Temperature-salinity (TS) diagram for 2016 and 2017 hydrographic surveys. Water mass boundaries are according to Corlett and Pickart (2017). Color indicates percentage of that year's data.

Each measurement has a “signature” based on its temperature and salinity. The resultant TS plot shows which water masses were measured in a dataset. Here, the normalized count shows how much of each water mass was present in the 2016 (top) and 2017 (bottom) CTD surveys.

In both years, the characteristic parabolic bottom line is clearly visible. However, while the plot for 2017 looks “normal” for the area, signatures in 2016 are condensed along the 26kg/m^3 isopycnal. This spike is outside the scope of my study, but is worth noting.

Year-long Temperature
Temperature timeseries from mooring UD-7 (deepest). Left: mean profile and thermistor locations (markers). Right: timeseries with depth and sea ice cover greater than 40%.
Temperature timeseries from mooring UD-7 (deepest). Left: mean profile and thermistor locations (markers). Right: timeseries with depth and sea ice cover greater than 40%.

In addition to temperature measurements in many places at one time, I also have temperature measurements in one place over many times. Above is the temperature at mooring UD-7, which is the deepest and matches the above sample CTD cast. On the left is the mean temperature with depth and on the right the time series with depth. Black arrow markers on the left-hand side indicate thermistor locations and the gray bar sea ice concentration greater than 40%.

The mean profile (left) resembles the single cast profile (above) at depth in the AW and RWW layers. The surface BSW and MW layers, however, change throughout the year. The surface waters are cold in November and December but warm in August through October. These changes appear to have something to do with sea ice cover, so I added that to the list of possible forcing functions.

This is the temperature measured from one mooring in one spot over time, but with additional moorings, we can see temperature in many spots.

Thermal Wind
Thermal wind schematic (left) and equations (right).
Thermal wind schematic (left) and equations (right).

To understand my findings over the mooring line, we must first understand thermal wind.

The concept of thermal wind is typically used by meteorologists to describe velocity shear based on horizontal density gradients. In a stratified system where there is a horizontal density gradient as pictured above, velocity shear develops to maintain equilibrium. The resultant winds are perpendicular and to the right (in the Northern Hemisphere) to the pressure gradient force that tilts opposite the density gradient.

Layers of water masses function in the same way as layers of air masses. A tilted isopycnal (horizontal density gradient) forces currents perpendicular to the slope of the isobars (constant pressure lines) that tilt in the opposite direction.

Hydrographic Surface
Temperature for CTD survey 2017 on isopycnal 26kg/m^3. Distances are from mooring UD-2 on the 200m isobath. Dark gray lines are isopycnal depth and points are CTD casts. Overlay arrow indicates overall flow direction according to thermal wind.
Temperature for CTD survey 2017 on isopycnal 26kg/m^3. Distances are from mooring UD-2 on the 200m isobath. Dark gray lines are isopycnal depth and points are CTD casts. Overlay arrow indicates overall flow direction according to thermal wind.

Above is the temperature measured on the 26kg/m^3 isopycnal according to the CTD casts of 2017. The axes are rotated so x is along and y is across the slope. Dots indicate CTD casts and the scales are such that point (0,26) is the deep water mooring line cast used as an example. Black contour lines are the depth of the isopycnal surface while color contours are temperatures on that surface.

The isopycnal slope from south to north would have a matching isobaric slope from north to south. Such a tilt forces a westward current, indicated by the overlay arrow. This is the Chukchi Slope Current.

Next, I will see if this current indicated by CTD survey and thermal wind exists throughout the year in the ADCP record.

Velocity Time Series
Top: wind stress time series, rotated with up facing along-slope to the west. Middle: ADCP velocity, rotated with red westward along the slope and blue eastward. Bottom: sea ice cover greater than 40%. Right: sketch of flow, looking north across the Chukchi Slope.
Top: wind stress time series, rotated with up facing along-slope to the west. Middle: ADCP velocity, rotated with red westward along the slope and blue eastward. Bottom: sea ice cover greater than 40%. Right: sketch of flow, looking north across the Chukchi Slope.

Above is the along slope velocity with time and depth such that red indicates into the page, or westward, and blue is out of the page, or eastward. Side markers indicate ADCP bin depth.

The overall structure indicates a strong westward flow near the surface and an eastward flow at depth. I identify these as the Slope Current and Shelfbreak Jet.

The lower gray bar indicates sea ice concentration in the area greater than 40%. The flow direction near the surface appears to reverse when the sea ice melts.

Above the velocity plot are wind velocity vectors, which are also rotated such that upward pointing vectors are along slope. Winds in December and September to the southwest and northeast force strong upper currents while weakening lower currents.

Based on these results, I added sea ice cover and wind to the list of possible forcing functions.

Velocity Variance Ellipse
Velocity variance ellipses (red) and major axes (green) with depth over study area. Surface ellipses and axes are darker and lighten with depth.
Velocity variance ellipses (red) and major axes (green) with depth over study area. Surface ellipses and axes are darker and lighten with depth.

Variance ellipses find the major and minor axes of a dataset. Above are the variance ellipses for the ADCP velocities in this study, with dark colors on surface and light colors at depth.

On the surface, the ellipses are wide and face northwest/southeast. This indicates surface currents are highly variable but mostly travel along the shelfbreak.

At depth, narrow ellipses facing partly onshelf indicate little changes in the west/east currents there over time.

The uppermost and lowermost few major axes look a little like Ekman spirals (explained below), so I added that to the list of possible forcing functions as well.

Forcing Functions

What causes the variability on the Chukchi Slope?
Sea Ice
Top: sea ice concentration timeseries with gray markers for images. Bottom: satellite imagery over study area with orange marker for ADCP.
Top: sea ice concentration timeseries with gray markers for images. Bottom: satellite imagery over study area with orange marker for ADCP.

First, I investigated sea ice as a forcing function.

Sea ice in my study area forms in December and melts in July, as seen via satellite imagery. The formation/melt cycle affects the water column temperature, as indicated in the single-mooring time series previously depicted. I looked closer at the effect with empirical orthogonal functions (EOF).

Empirical Orthogonal Function
EOF equations (top) and mode significance for the entire mooring temperature dataset (bottom).
EOF equations (top) and mode significance for the entire mooring temperature dataset (bottom).

An EOF deconstructs a time series into a “pattern” frozen in time and an amplitude time series that modifies the pattern. For each input time series, in this case each thermistor record, there is a mode that explains a certain percent of the variance in the original time series. 

Not all modes are significant. In the table above, which represents the entire temperature dataset, only the first few modes are significant.

Sea Ice - EOF mode 1
Mooring line EOF mode 1. Panels a-d depict the mooring line thermistors as black dots on a grid of temperature with the seafloor in dark gray. a) "positive pattern", or the mean temperature + mode 1. b) summer (open water) mean temperature. c) "negative pattern", or mean temperature - mode 1. d) winter (ice covered) mean temperature. e) amplitude time series centered about 0 such that positive (red) times follow a) and negative (blue) times follow c). f) open water (reverse of sea ice concentration) time series centered about 60 such that open (red) times  follow b) and covered (blue) times follow d).
Mooring line EOF mode 1. Panels a-d depict the mooring line thermistors as black dots on a grid of temperature with the seafloor in dark gray. a) "positive pattern", or the mean temperature + mode 1. b) summer (open water) mean temperature. c) "negative pattern", or mean temperature - mode 1. d) winter (ice covered) mean temperature. e) amplitude time series centered about 0 such that positive (red) times follow a) and negative (blue) times follow c). f) open water (reverse of sea ice concentration) time series centered about 60 such that open (red) times follow b) and covered (blue) times follow d).

Above is the result of my EOF analysis. On the top is the comparison of the EOF patterns (left) to the seasonal means (right). For each panel, dots represent temperature sensors and the dark gray contour is the seafloor along the mooring line. The bottom panels represent the amplitude time series and the open water percentage (reverse of the sea ice concentration for easier comparison to the amplitude time series). I define summer with open water greater than 60% and winter when there is less.

EOFs work in such a way that when the amplitude in e) is -1, the temperature on the mooring line is c) while an amplitude of +2 indicates temperatures like a) multiplied by 2.

The positive first mode pattern closely resembles the summer mean temperature while the negative first mode pattern resembles the winter mean.

The amplitude time series matches closely with the open water percentage, though the times when the regime switches from negative to positive versus open water to ice-covered are slightly different.

Overall, I conclude that 65% of my dataset’s temperature variance can be explained by the presence/absence of sea ice cover.

Wind Stress
Wind stress in study area during the 2016 and 2017 hydrographic surveys, subsampled in space. For reference, the ADCP is marked with a blue circle.
Wind stress in study area during the 2016 and 2017 hydrographic surveys, subsampled in space. For reference, the ADCP is marked with a blue circle.

After sea ice, I looked at the effect of winds on the velocity and temperature on the Chukchi Slope. Above are two sample times during the hydrographic cruises in 2016 and 2017.

In 2016, the wind stress is facing nearly the same way over the entire area. This is not the case in 2017, when winds are conflicted.

To examine the effect of winds, I correlated the time series at each location to the velocity time series.

Wind Stress - Correlation with Surface Current
Complex correlation of wind stress lagged two days after the surface ADCP current rotated to the right of the wind stress. For reference, the ADCP is marked with a blue circle and the 2000m isobath with a gray line. The highest correlation is marked with a blue x.
Complex correlation of wind stress lagged two days after the surface ADCP current rotated to the right of the wind stress. For reference, the ADCP is marked with a blue circle and the 2000m isobath with a gray line. The highest correlation is marked with a blue x.

Above is the complex correlation of the wind stress with the surface currents, with the 2000m isobath and ADCP location for reference.

Overall, the correlation is very low, with a maximum of 0.27 near the Bering Strait. Winds in the Bering Strait force an inflow of water, so this correlation is expected.

There is another correlation “hot spot” in the Beaufort Gyre. The relationship here is unclear and beyond the scope of my study.

Regardless, with such low correlations, I am hesitant to draw any real conclusions. It is possible that the wind stress curl, rather than the wind stress, would produce better correlations.

Ekman Spirals
Ekman spiral equations (top) and schematic (bottom). Darker colors indicate surface currents, lightening with depth.
Ekman spiral equations (top) and schematic (bottom). Darker colors indicate surface currents, lightening with depth.

Next, I looked at Ekman spirals.

“Ekman spiral” refers to the effect of stressors on currents in the Northern Hemisphere. Above is a schematic of the predicted velocities with depth under a surface wind forcing, with darker colors on the surface lightening at depth.

In an Ekman spiral, surface currents are forced by wind and the Coriolis force such that they are 45 degrees to the right of the wind. Each successive layer of water below the surface is deflected further to the right and decreases in velocity.

With this theory, researchers can predict what velocities in the water column should be.

Ekman Spirals - Progressive Vector
Progressive vector diagram with Ekman spiral overlay adapted from Chereskin (1995).
Progressive vector diagram with Ekman spiral overlay adapted from Chereskin (1995).

One such study comparing theory to real-world results was Chereskin (1995). Above is a modified version of their progressive vector diagram.

Progressive vector diagrams estimate where a particle would travel over time based on the velocities at a single point. I added overlay vectors in direct comparison to the theoretical Ekman spiral depicted above.

In the case of the California Current in the Chereskin (1995) study, Ekman dynamics appear to be upheld. This is not the case in my study.

Progressive vector diagram from mooring UD-4. Darker colors are at the surface and lighten with depth. Also on the surface vector are the wind vectors. Overlay arrows are the overall direction for each vector.
Progressive vector diagram from mooring UD-4. Darker colors are at the surface and lighten with depth. Also on the surface vector are the wind vectors. Overlay arrows are the overall direction for each vector.

Above is a progressive vector diagram derived from a subset of my own data on the Chukchi Slope. I chose a time when currents were constant to the west for an extended time to compare to Chereskin (1995). Darker colors indicate surface currents with lighter currents at depth. The surface progressive vector also includes the wind direction at that time.

Under an Ekman spiral, the above westward flow should be governed by wind to the south, but that is not always the case here. In addition, the overlay arrows indicating overall direction of the layers rotates both very little and in the “wrong direction” to be considered an Ekman spiral.

In my area of the Chukchi Slope, the Ekman spiral doesn’t appear to work.

Conclusion

Summary of Results
What did the Chukchi Slope look like in 2016 and 2017?
  • Shallow, westward Chukchi Slope Current which transports mainly Pacific water
  • Deep, eastward Chukchi Shelfbreak Jet which transports mainly Atlantic water
What causes the variability on the Chukchi Slope?
  • Sea ice, as evidenced by the EOF mode 1
  • Not wind stress, though it would be beneficial to look at the wind stress curl
  • Not Ekman dynamics

Questions?