Friday, Feb. 27, 2015
Here's a quick recap of what we were covering in class on
Wednesday.
The discharge begins at left in the figure with a branched
stepped leader that is followed by a 1st return stroke.
The stepped leader takes a few 10s of milliseconds to travel
from the main negative charge center in the cloud to the
ground. The ensuing 1st return stroke travels back up the
channel to the cloud is about 100 microseconds.
Then, with a few slight differences, the process
repeats itself. Additional discharges occur typically at
intervals of 50 to 100 ms and are usually preceded by a dart
leader that travels, without stepping or branching, down the
existing main channel. A short upward connecting
discharge is initiated when the dart leader gets close to the
ground and then a subsequent return stroke travels back up the
channel to the cloud. We'll look at the dart leader and
subsequent return stroke processes in a little more detail
shortly.
The 3rd return stroke in the illustration above is
following by a continuing current. This is a low
amplitude (100s of Amperes) current that continues to flow for
10s of milliseconds or more typically, which keeps the return
stroke channel luminous. Short re-brightening of the
channel sometimes occur during the continuing current, these
are called M-components.
Next some more information about dart leaders
and subsequent return strokes.
Sometimes the dart leader will depart from the
existing channel and form a new channel to ground.
Because it is traveling through air that hasn't been
ionized, the lower portion of the dart leader would turn
into a stepped leader.
Occasionally there is sufficient time between strokes that
the existing channel can begin to cool and become less
conductive. Under these conditions the dart leader
becomes a dart-stepped leader. The steps of a
dart-stepped leader are shorter and occur more frequently
than a stepped leader.
Subsequent return stroke characteristics are summarized in
the table below
peak current
|
10 kA
|
peak current
derivative
|
100 kA/μs
|
velocity
|
1 x 108 m/s
|
A short video was shown at this point (it was produced
by Ken Cummins and Shipherd Reed for a display at the
Flandrau Science Center on campus). It reviews and
also has some nice video examples of the phenomena we have
been covering. I can't include a link in these
online notes because the video contains some copyright
protected material.
Statistics on the number of strokes per flash are shown in
the following two histograms (source: Lightning: Physics
and Effects, V.A. Rakov, M.A. Uman, Cambridge
Univ. Press, Cambridge, 2003).
A mean of 4.6 strokes per flash was observed in the 76
flashes in Fig. (a) from Florida. In Fig. (b) the
mean was 6.4 strokes per flash in 83 flashes recorded in
New Mexico.
Many lightning parameters or characteristics are
log-normally distributed. This appears to be the
case with the interval time between return strokes
distribution in the next figure (also from the Lightning: Physics
and Effects source mentioned above)
Shown are 516 interstroke intervals from 132 flashes
recorded in Florida and New Mexico. The shaded data
are intervals preceding strokes that initiated long
continuing currents.
Up to now we really haven't considered the possibility
that dart leaders and subsequent return strokes might
depart from the channel created by the stepped leader and
1st return strokes. That does often turn out to be
the case. This means that the separate strokes in a
flash do not always strike the same point on the
ground. The illustration and statistics below come
from "Statistics
and
characteristics
of
cloud-to-ground
lightning
with
multiple
ground
contacts,"
W.C. Valine and E.P. Krider
In a new channel flash one (or more) of the subsequent
strokes follows a different channel to ground. A
connection between the new and original channel is assumed
to occur somewhere in the cloud. In an altered
channel flash the new portion of the channel can be seen
departing from the original channel somewhere between the
cloud base and ground.
386 flashes in 7 Arizona air mass thunderstorms were
photographed (video photography) for this study. 135
flashes (35%) contained just a single stroke, 251 flashes
(65%) were multistroke flashes. Note that
on average a flash has 1.45 strike points. We will
make use of this number later in the course when we
discuss lightning location techniques and estimates of
lightning flash densities, an important parameter in
lightning protection and lightning risk assessement.
A distribution of the number of strokes per flash
observed in the Arizona study. The mean, 2.8
strokes/flash, is a little lower than the mean values
mentioned earlier for the Florida and New Mexico data
sets.
Next we look at how a
multi-stroke cloud-to-ground discharge might appear on
slow and fast electric field antenna records. We
might have done this earlier in the semester but now
you should have a better understanding of the various
processes involved.
The sequence of events shown on the sketch of a
high-speed photograph record of a discharge at the top
of the figure should be familiar by now.
Point 1a on the slow E field record shows the field
change produced by the stepped leader (the E field at
the ground points upward toward the negative charge
being lowered by the leader, so it looks like the
atmospheric electricity convention for E field
polarity is being used on this figure). The dart
leader field changes are shown at Points 1b.
They are smaller in amplitude (the dart leader doesn't
lower as much charge as the stepped leader) and have
shorter durations.
The abrupt return stroke changes are shown at Points 2
on the slow E and the fast E records. Note one
the slow E field record that the leader and return
stroke field changes are of opposite polarity.
The return stroke removes negative charge from the
leader channel, charge that came from the main
negative charge center in the thundercloud. The
overall effect is the same as if a quantity of
positive charge had been added to the cloud and used
to neutralize the negative charge.
Points K on the fast E field record are "K
changes." During the interval between return
strokes, in-cloud leader processes seek out additional
pockets of charge in the cloud. Occasionally,
when the leader finds a concentration of charge, a
rapid recoil streamer travels back along the in-cloud
leader channel (in some ways like a return stroke
propagates back along the leader in a cloud-to-ground
strike). The K changes are probably produced by
these recoil streamers.
The preliminary discharge process that initiates
cloud-to-ground discharges is not well
understood. Sequences of bipolar waveforms like
shown at Point 3 though are thought to be associated
with the preliminary breakdown process.
Point 4 shows E field pulses thought to be produced by
the last few steps of the stepped leader as it
approaches the ground.
The fast E field waveforms produced by 1st and
subsequent strokes are distinctly different. The
1st return stroke field variations following the peak
are considerably noisier than is observed with
subsequent strokes. Some of the "noise" on the
1st return stroke E field record is probably produced
by branches. Some of the structure on both the
1st and subsequent stroke waveforms is probably due to
channel tortuosity.
Some of the modern lightning detection and location
instrumentation is able to distinquish between return
stroke waveforms and waveforms produced by leaders or
discharges that occur during the preliminary breakdown
activity.
The next figure is essentially the same except that
some continuing current has been added following the
second stroke.
A continuing current is a low level current (10s to
100s of Amperes) that continues to flow after a return
stroke for 10s to a few 100s of milliseconds.
The continuing current can transport signficant
quantities of charge to the ground (100 ms x 250 Amps
= 25 C ). Continuing currents can burn through
metal sheets or metal skins on aircraft bodies.
A CG lightning discharge with continuing current is
sometimes referred to as "hot lightning" because these
discharges are more likely to cause a forest fire than
a discharge without continuing current. A field
change associated with the continuing current is
visible on the slow E field record. M components
are a rebrightening of the lightning channel that
occurs during a continuing current. The K
changes seen on the fast E field trace may be
associated with the M components.
The next figure illustrates a triggered lightning
discharge. The figure shows a typical slow E
field record and a record of the current that would be
measured at the ground instead of a fast E field
waveform.
Triggered
discharges are initiated by an upward propagating,
positively charged leader which is followed by a
continuous current. This is followed by
downward moving, negatively charged dart leaders
and subsequent return strokes. The dart
leaders and subsequent strokes are thought to be
similar to those that occur in natural CG
discharges.
Finally
some terms or expressions that you might hear
concerning lightning.
"Dry" lightning is common early in the
summer thunderstorm season in Arizona when the air
is still relatively dry. Precipitation
falling from the thunderstorm evaporates before
reaching the ground. It is more likely that
lightning striking the ground will start a brush
fire because the vegetation is often quite dry.
A cloud to ground discharge with continuing
current following one or more of the return
strokes is sometimes referred to as "hot"
lightning. This type of lightning is
more likely to start a forest fire than a flash
without continuing current.
When a lightning channel begins to cool and fade
from view, some portions of the channel may remain
luminous longer than others (or channel segments
may be oriented in a way that keeps them brighter
and visible longer than other channel
segments). The channel will seem to break up
into a series of bright spots or beads. This
is bead lightning. You find a pretty
good example here.
The term heat lightning refers to
lightning without any thunder. It may be
that the storm is too distant or, as we will see
later in the class, sound waves can be refracted
or bent so that they pass over the heads of people
on the ground and the thunder can't be heard.
I showed an example of a multistroke cloud to
ground flash captured on moving film so that the
separate strokes were separated on the film.
You'll sometimes see something like this when
observing lightning or when photographing
lightning will a camera that is not being
moved. In this case wind is blowing the
lightning channel horizontally and the image of
lightning appears somewhat smeared. This is
known as ribbon lightning; here's a
very good example published in The Guardian
newspaper.
Finally there's ball lightning a luminous
sphere that can range from the size of a baseball
up to perhaps basketball size. The
ball of "fire" lasts usually for just a few
seconds, appears to float through the air, and can
apparently produce a variety of sounds and
smells. Ball lightning hasn't been explained
and there may be several different phenomena
involved. In his book "All About Lightning"
Martin Uman reports that ball lightning has been
seen by 5 to 10% of the population which is about
the same number of people that have been close
enough to a lightning strike to have seen the
impact point. We won't cover the subject in
this class.