Horizontal baric gradient. Changes in pressure with height. Standard atmosphere. Horizontal baric gradient Vertical and horizontal gradient

Looking at the isobars on the synoptic map, we notice that in some places the isobars are thicker, in others - less often.

It is obvious that in the first places the atmospheric pressure changes in the horizontal direction more strongly, in the second - weaker. They also say: "faster" and "slower", but one should not confuse the changes in space in question with changes in time.

To accurately express how atmospheric pressure changes in the horizontal direction, you can use the so-called horizontal baric gradient, or horizontal pressure gradient. Chapter 4 discussed the horizontal temperature gradient. Similarly, the change in pressure per unit distance in a horizontal plane (more precisely, on a level surface) is called a horizontal pressure gradient; in this case, the distance is taken in the direction in which the pressure decreases most strongly. And such a direction of the strongest change in pressure at each point is the direction along the normal to the isobar at this point.

Thus, the horizontal baric gradient is a vector whose direction coincides with the direction of the normal to the isobar in the direction of decreasing pressure, and the numerical value is equal to the derivative of pressure along this direction. Let's denote this vector by the symbol - С R, and its numerical value - dp / dn , where P is the direction of the normal to the isobar.

Like any vector, the horizontal baric gradient can be represented graphically by an arrow; in this case, an arrow directed along the normal to the isobar in the direction of decreasing pressure. In this case, the length of the arrow should be proportional to the numerical value of the gradient.

At different points in the baric field, the direction and magnitude of the baric gradient will, of course, be different. Where the isobars are condensed, the change in pressure per unit distance along the normal to the isobar is greater; where the isobars are moved apart, it is smaller. In other words, the magnitude of the horizontal baric gradient is inversely proportional to the distance between the isobars.



If there is a horizontal baric gradient in the atmosphere, this means that the isobaric surfaces in a given section of the atmosphere are inclined to the level surface and, therefore, intersect with it, forming isobars. Isobaric surfaces are always inclined in the direction of the gradient, i.e., where the pressure decreases.

The horizontal baric gradient is the horizontal component of the total baric gradient. The latter is represented by a spatial vector, which at each point of the isobaric surface is directed along the normal to this surface towards the surface with a lower pressure value. The numerical value of this vector is – dp/dn; but here n- the direction of the normal to the isobaric surface. The total baric gradient can be decomposed into vertical and horizontal components, or into vertical and horizontal gradients. You can also decompose it into three components along the axes of rectangular coordinates X, Y, Z. The pressure changes with height much more strongly than in the horizontal direction. Therefore, the vertical baric gradient is tens of thousands of times greater than the horizontal one. It is balanced or almost balanced by the force of gravity directed opposite to it, as follows from the basic equation of atmospheric statics. The vertical baric gradient does not affect the horizontal movement of air. Later in this chapter, we will only talk about the horizontal baric gradient, simply calling it the baric gradient.


Wind speed

As we already know from Chapter Two, the wind is the movement of air relative to the earth's surface, and, as a rule, the horizontal component of this movement is meant. However, sometimes one speaks of an upwind or a downwind, taking into account the vertical component as well. The wind is characterized by a velocity vector. In practice, wind speed refers only to the numerical value of the speed; this is what we will call the wind speed in the future, and the direction of the velocity vector - the direction of the wind.

Wind speed is expressed in meters per second, in kilometers per hour (especially for aviation services) and in knots (in nautical miles per hour). To convert the speed from meters per second to knots, it is enough to multiply the number of meters per second by 2.

There is also an estimate of the speed (or, as they say in this case, strength) of the wind in points, the so-called Beaufort scale , according to which the entire interval of possible wind speeds is divided into 12 gradations. This scale relates the strength of the wind to its various effects, such as the degree of sea waves, the swaying of branches and trees, the spread of smoke from chimneys, etc. Each gradation on the Beaufort scale has a specific name. So, zero of the Beaufort scale corresponds to calm, i.e., the complete absence of wind. wind at 4 points, according to Beaufort is called moderate and corresponds to a speed of 5-7 m/s; in 7 points - strong, with a speed of 12-15 m/s; at 9 points - by a storm, at a speed of 18-21 m/s; finally, a wind of 12 Beaufort is already a hurricane, with a speed of over 29 m/sec.

A distinction is made between the smoothed wind speed for a certain short period of time during which observations are made, and the instantaneous wind speed, which generally fluctuates strongly and at times can be significantly lower or higher than the smoothed speed. Anemometers usually give values ​​of the smoothed wind speed, and in the future we will talk about it.

Near the earth's surface, most often you have to deal with winds with speeds of the order of 4-8 m/s and rarely exceed 12-15 m/sec. But still, in storms and hurricanes of temperate latitudes, speeds can exceed 30 m/s, and in some gusts reach 60 m/sec. In tropical hurricanes, wind speeds reach up to 65 m/s, and individual gusts - up to 100 m/sec. In small-scale eddies (tornadoes, blood clots), velocities of more than 100 m/sec. In the so-called jet streams in the upper troposphere and lower stratosphere, the average wind speed over a long time and over a large area can reach up to 70-100 m/sec.

The wind speed near the earth's surface is measured by anemometers of various designs. Most often they are based on the fact that wind pressure causes the receiving part of the device to rotate (cup anemometer, mill anemometer, etc.) or deviates it from the equilibrium position (Wild board). Wind speed can be determined from the rotation speed or deviation. There are designs based on the manometric principle (Pitot tube). There are a number of designs of self-recording instruments - anemographs and (if the wind direction is also measured) anemorumbographs. Instruments for measuring wind at ground stations are installed at a height of 10-15 m above the earth's surface. The wind measured by them is called the wind near the earth's surface.

Direction of the wind

It must be well remembered that when speaking of the direction of the wind, they mean the direction from which it blows. You can indicate this direction by naming either the point on the horizon from where the wind blows, or the angle formed by the direction of the wind with the meridian of the place, that is, its azimuth. In the first case, 8 main points of the horizon are distinguished: north, northeast, east, southeast, south, southwest, west, northwest - and 8 intermediate points between them: north-northeast, east-north- east, east-southeast, south-southeast, south-southwest, west-southwest, west-northwest, north-northwest (Fig. 68). The 16 points indicating the direction from which the wind is blowing have the following abbreviations, Russian and international:

If the direction of the wind is characterized by its angle with the meridian, then the countdown is from the north clockwise. So north would be 0° (360°), northeast 45°, east 90°, south 180°, west 270°. When observing the wind in high layers of the atmosphere, its direction is usually indicated in degrees, and when observing at ground meteorological stations, in horizon points.

Wind direction is determined by a weather vane rotating about a vertical axis. Under the influence of the wind, the weather vane assumes a position in the direction of the wind. The weather vane is usually connected to the Wild board.

Just as for speed, one distinguishes between instantaneous and smoothed wind direction. The instantaneous wind directions fluctuate significantly around some average (smoothed) direction, which is determined by weather vane observations.

However, the smoothed direction of the wind in each given place on the Earth is constantly changing, and in different places at the same time it is also different. In some places, winds of different directions have almost equal frequency for a long time, in others - a well-pronounced predominance of some wind directions over others throughout the season or year. It depends on the conditions of the general circulation of the atmosphere and partly on the local topographical conditions.

With climatological processing of observations over the wind, it is possible to construct a diagram for each given point, which is the distribution of the frequency of occurrence of wind directions along the main points, in the form of the so-called wind rose (Fig. 69). From the origin of polar coordinates, directions are plotted along the horizon points (8 or 16) in segments, the lengths of which are proportional to the frequency of winds of a given direction. The ends of the segments can be connected by a broken line. Calm repeatability is indicated by a number in the center of the diagram (at the origin). When constructing a wind rose, one can also take into account the average wind speed in each direction, multiplying the frequency of this direction by it. Then the graph will show in arbitrary units the amount of air carried by the winds of each direction.

For presentation on climate maps, wind direction is summarized different ways. You can put wind roses on the map in different places. It is possible to determine the resultant of all wind speeds (considered as vectors) at a given location for a given calendar month over a multi-year period and then take the direction of this resultant as the mean wind direction. But more often the prevailing wind direction is determined. Namely, the quadrant with the greatest repeatability is determined. The midline of this quadrant is taken as the dominant direction.

Wind gust

The wind is constantly and rapidly changing in speed and direction, fluctuating around some average values. The reason for these fluctuations (pulsations or fluctuations) of the wind is turbulence, which was discussed in Chapter Two. These fluctuations can be registered by sensitive self-recording instruments. The wind, which has sharply pronounced fluctuations in speed and direction, is called gusty. With especially strong gustiness, they speak of a squally wind.

During conventional station observations over the wind, the average (smoothed) direction and its average speed are determined over a period of time of the order of several minutes. When observing using the Wild vane, the observer must follow the fluctuations of the wind vane for two minutes and the fluctuations of the Wild board for two minutes, and as a result determine the average (smoothed) direction and average (smoothed) speed for this time. A cup anemometer makes it possible to determine the average wind speed for any finite period of time.

However, it is also of interest to study the gustiness of the wind. The gustiness can be characterized by the ratio of the amplitude of wind speed fluctuations over a certain period of time to the average speed over the same time; in this case, either the average or the most frequently occurring amplitude is taken. Amplitude is the difference between successive maximum and minimum instantaneous speed. There are other characteristics of variability, including the direction of the wind.

Impulsiveness is greater, the greater the turbulence. Consequently, it is more pronounced over land than over sea; especially large in areas with complex terrain; more in summer than in winter; has an afternoon maximum in the diurnal variation.

In a free atmosphere, turbulence can cause aircraft to wobble. The turbulence is especially great in highly developed convection clouds. But it also increases sharply in the absence of clouds in the zones of the so-called jet streams.

CSS gradient represents the transition from one color to another.

Gradients are created using the linear-gradient() and radial-gradient() functions.

A gradient background can be set in the background , background-image , border-image , and list-style-image properties.

How to make a gradient in CSS

Browser Support

IE: 10.0
Firefox: 16, 3.6 -moz-
Chrome: 26.0, 10.0 -webkit-
safari: 6.1, 5.1 -webkit-
opera: 12.1, 11.1 -o-
iOS Safari: 7.1
Opera Mini:
Android Browser: 4.4, 4.1 -webkit-
Chrome for Android: 44

1. linear-gradient()


Rice. 1. Gradient line, start and end points and gradient angle

linear gradient created using two or more colors that have a direction, or gradient line.

If no direction is specified, the default value is used − top down.

The default gradient colors are distributed evenly in a direction perpendicular to the gradient line.

Background: linear-gradient(angle/side or slope angle via keyword (keyword pairs), first color, second color, etc.);

Direction The gradient can be specified in two ways:
with tilt angle in degrees deg , whose value determines the angle of the line inside the element.

Div ( height: 200px; background: linear-gradient(45deg, #EECFBA, #C5DDE8); )

using keywords to top , to right , to bottom , to left , which correspond to the gradient angle of 0deg , 90deg , 180deg and 270deg respectively.

Div ( height: 200px; background: linear-gradient(to right, #F6EFD2, #CEAD78); )

If the direction is given by a pair of keywords, such as to top left , then the starting point of the gradient will be in the opposite direction, in this case, bottom right.

Div ( height: 200px; background: linear-gradient(to top left, powderblue, pink); )

For uneven distribution of colors, the starting position of each color is specified through the gradient stop points, the so-called color stops. Breakpoints are specified in % , where 0% is the start point, 100% is the end point, for example:

Div ( height: 200px; background: linear-gradient(to top, #E4AF9D 20%, #E4E4D8 50%, #A19887 80%); )

For a clear distribution of color bands, each subsequent color must be started from the stop point of the previous color:

Div ( height: 200px; background: linear-gradient(to right, #FFDDD6 20%, #FFF9ED 20%, #FFF9ED 80%, #DBDBDB 80%); )

2. radial-gradient()

radial gradient differs from linear in that the colors come out from one point (the center of the gradient) and evenly spread outward, drawing the shape of a circle or ellipse.

Background: radial-gradient(gradient shape/size/center position, first color, second color, etc.);

gradient shape defined by the keywords circle or ellipse . If no shape is specified, the radial gradient defaults to an ellipse.

Div ( height: 200px; background: radial-gradient(white, #FFA9A1); )

Center position set using the keywords used in the background-position property, with the at prefix added. If no center position is specified, the default at center is used.

Div ( height: 200px; background: radial-gradient(at top, #FEFFFF, #A7CECC); )

A pair of values, specified in length units % , em , or px , controls the size of the elliptical gradient. The first value specifies the width of the ellipse, the second value specifies the height.

Div ( height: 200px; background: radial-gradient(40% 50%, #FAECD5, #CAE4D8); )

Gradient size set using keywords. The default is farthest-corner.

div ( height: 200px; background: radial-gradient(circle farthest-corner at 100px 50px, #FBF2EB, #352A3B); )

With a radial gradient, you can create realistic three-dimensional figures such as balls, buttons.

Ball

div ( width: 200px; height: 200px; border-radius: 50%; margin: 0 auto; background: radial-gradient(circle at 65% 15%, aqua, darkblue); )

Button

.wrap ( height: 200px; padding: 50px 0; background: #cccccc; ) .button ( width: 100px; height: 100px; border-radius: 50%; margin: 0 auto; background: radial-gradient(farthest-side ellipse at top left, white, #aaaaaa); box-shadow: 5px 10px 20px rgba(0,0,0,0.3), -5px -10px 20px rgba(255,255,255,0.5); )

Postage Stamp


Using a transparent color in gradients, you can create such effects.

jpg">

.container ( background: #B7D1D8; padding: 25px; ) .wrap ( background: radial-gradient(transparent, transparent 4px, white 4px,white); padding: 10px; width: 300px; height: 220px; background-size: 20px 20px; background-position: -10px -10px; /*cut the pattern around the edge*/ margin: 0 auto; ) img ( width: 100%; )

3. Gradient repeat

In addition to linear and radial gradients, there is a gradient repeat, which is specified using the repeating-linear-gradient() and repeating-radial-gradient() functions, respectively. A background of repeating gradients looks sloppy, so it's a good idea to start the next color from where the previous one left off, thus creating striped patterns.

Div ( height: 200px; background: repeating-linear-gradient(45deg, #606dbc, #606dbc 10px, #465298 10px, #465298 20px); ) div ( height: 200px; background: repeating-radial-gradient(circle, # B9ECFE, #B9ECFE 10px, #82DDFF 10px, #82DDFF 20px); )

4. Crossbrowser Gradient

To correctly display gradients in all browsers, you need to add a cross-browser entry.

linear gradient

Ms-filter: "progid:DXImageTransform.Microsoft.gradient (GradientType=0, startColorstr=#1471da, endColorstr=#1C85FB)"; /* IE 8-9 */ background: -webkit-linear-gradient(left, red, #f06d06); /* Safari 5.1, iOS 5.0-6.1, Chrome 10-25, Android 4.0-4.3 */ background: -moz-linear-gradient(left, red, #f06d06); /* Firefox 3.6-15 */ background: -o-linear-gradient(left, red, #f06d06); /* Opera 11.1-12 */ background: linear-gradient(to right, red, #f06d06); /* Opera 15+, Chrome 25+, IE 10+, Firefox 16+, Safari 6.1+, iOS 7+, Android 4.4+ */

Linear Gradient Repeat

Background: -webkit-repeating-linear-gradient(red, yellow 10%, green 20%); /* Safari 5.1 - 6.0 */ background: -o-repeating-linear-gradient(red, yellow 10%, green 20%); /* Opera 11.1-12.0 */ background: -moz-repeating-linear-gradient(red, yellow 10%, green 20%); /* Firefox 3.6-15 */ background: repeating-linear-gradient(red, yellow 10%, green 20%); /* Standard syntax */

radial gradient

Background: -webkit-radial-gradient(red, yellow, green); /* Safari 5.1-6.0 */ background: -o-radial-gradient(red, yellow, green); /* Opera 11.6-12.0 */ background: -moz-radial-gradient(red, yellow, green); /* Firefox 3.6-15 */ background: radial-gradient(red, yellow, green); /* Standard syntax */ background: -webkit-radial-gradient(60% 55%, farthest-side, red, yellow, black); /* Safari 5.1-6.0 */ background: -o-radial-gradient(60% 55%, farthest-side, red, yellow, black); /* Opera 11.6-12.0 */ background: -moz-radial-gradient(60% 55%, farthest-side, red, yellow, black); /* Firefox 3.6-15 */ background: radial-gradient(farthest-side at 60% 55%, red, yellow, black); /* Standard syntax */

Radial Gradient Repeat

Background: -webkit-repeating-radial-gradient(red, yellow 10%, green 15%); /* Safari 5.1-6.0 */ background: -o-repeating-radial-gradient(red, yellow 10%, green 15%); /* Opera 11.6-12.0 */ background: -moz-repeating-radial-gradient(red, yellow 10%, green 15%); /* Firefox 3.6-15 */ background: repeating-radial-gradient(red, yellow 10%, green 15%); /* Standard syntax */

5. Gradient and Background Image Combination

By combining a gradient and an image, you can create interesting effects. For the gradient, you need to use translucent colors so that the image remains visible.

div ( height: 453px; background: linear-gradient(45deg, rgba(103, 0, 31, .8), rgba(34, 101, 163, ..jpg); background-size: cover; )

Looking at the isobars on the synoptic map, we notice that in some places the isobars are thicker, in others - less often. It is obvious that in the first places the atmospheric pressure changes in the horizontal direction more strongly, in the second - weaker.

To accurately express how atmospheric pressure changes in the horizontal direction, you can use the so-called horizontal baric gradient, or horizontal pressure gradient. The horizontal pressure gradient is the change in pressure per unit distance in the horizontal plane (more precisely, on the level surface); in this case, the distance is taken in the direction in which the pressure decreases most strongly.

Thus, the horizontal baric gradient is a vector whose direction coincides with the direction of the normal to the isobar in the direction of decreasing pressure, and the numerical value is equal to the derivative of pressure along this direction (G = -dp/dl).

Like any vector, the horizontal baric gradient can be represented graphically by an arrow; in this case, an arrow directed along the normal to the isobar in the direction of decreasing pressure.

Where the isobars are condensed, the change in pressure per unit distance along the normal to the isobar is greater; where the isobars are moved apart, it is smaller.

If there is a horizontal baric gradient in the atmosphere, this means that the isobaric surfaces in a given section of the atmosphere are inclined to the level surface and, therefore, intersect with it, forming isobars.

In practice, the average baric gradient is measured on synoptic maps for a particular section of the baric field. Namely, they measure the distance between two adjacent isobars in a given area along a straight line. Then the pressure difference between the isobars (usually 5 mb) is divided by this distance, expressed in large units - 100 km. Under actual atmospheric conditions near the earth's surface, horizontal baric gradients are on the order of a few millibars (usually 1-3) per 100 km.

Change in pressure with height

Atmospheric pressure decreases with height. This is due to two reasons. Firstly, the higher we are, the lower the height of the air column above us, and, therefore, less weight presses on us. Secondly, with height, the density of air decreases, it becomes more rarefied, that is, it has fewer gas molecules, and therefore it has less mass and weight.

International Standard Atmosphere (abbr. ISA, eng. ISA) is a conditional vertical distribution of temperature, pressure and air density in the Earth's atmosphere. The basis for calculating the parameters of the ISA is the barometric formula, with the parameters defined in the standard.

For ISA, the following conditions are accepted: air pressure at mean sea level at a temperature of 15 °C is 1013 mb (101.3 kN/m² or 760 mmHg), the temperature decreases vertically with an increase in altitude by 6.5 °C by 1 km to the level of 11 km (conditional altitude of the beginning of the tropopause), where the temperature becomes equal to −56.5 °C and almost stops changing.

BARIQUE FIELD AND WIND

(according to S.P. Khromov)

baric field

Chapter Two dealt with atmospheric pressure, the units in which it is expressed, and how it changes with altitude. In this chapter, we will focus on the horizontal distribution of pressure and its changes over time. Both are closely related to the wind regime.

The distribution of atmospheric pressure is called the baric field. Atmospheric pressure is a scalar quantity: at each point in the atmosphere it is characterized by one numerical value, expressed in millibars or millimeters of mercury. Consequently, the baric field is also a scalar field. Like any scalar field, it can be visually represented in space by surfaces of equal values ​​of a given scalar, and on a plane by lines of equal values. In the case of a baric field, these will be isobaric surfaces and isobars.

It can be imagined that the entire atmosphere is permeated with a family of isobaric surfaces that envelop the globe. These surfaces intersect with level surfaces at very small angles, on the order of arcminutes. At the intersection with each level surface, including sea level, isobaric surfaces form isobars on it.

Isobaric surface with a value of 1000 mb passes near sea level. Isobaric surface 700 mb located at altitudes close to 3 km; isobaric surface 500 mb - at altitudes close to 5 km. Isobaric surfaces 300 and 200 mb located respectively at heights of about 9 and about 12 km, i.e. near the tropopause; surface 100 mb - around 16 km.

Intersecting with level surfaces, each isobaric surface at its different points at each moment is at different heights above sea level.

For example, an isobaric surface of 500 mb can be located above one part of Europe, then an altitude of about 6000 m, and over another part of Europe - at an altitude of about 5000 m. It depends, firstly, on the fact that at sea level the pressure at each moment in different places is different; secondly, from the fact that the average temperature of the atmospheric column in different places is also different. And from Chapter 2 we know that the lower the air temperature, the faster the pressure drops with height. Even if the pressure is the same everywhere at sea level, then the overlying isobaric surfaces will be lowered in the cold parts of the atmosphere and, on the contrary, raised in the warm ones.

Maps of baric topography

The spatial distribution of atmospheric pressure changes continuously over time. This means that the arrangement of isobaric surfaces in the atmosphere is constantly changing. In order to follow changes in the baric, as well as in the thermal field, in the practice of the weather service, maps of the topography of isobaric surfaces - maps of baric topography - are compiled daily from aerological observations.

The absolute baric topography map plots the heights of a certain isobaric surface above sea level at different stations at a certain point in time, for example, surfaces 500 mb at 6 am on January 1, 1967. Points with equal heights are connected by lines of equal heights - isohypses (absolute isohypses). By isohypses, one can judge the distribution of pressure in those layers of the atmosphere in which a given isobaric surface is located.

There are always areas in the atmosphere where the pressure is increased or decreased compared to the surrounding areas. In fact, the entire atmosphere consists of such areas of high or low pressure, the location of which changes all the time. At the same time, in areas of low pressure - cyclones or depressions - the pressure at each level is the lowest in the center of the area, and increases towards the periphery. Pressure, moreover, always decreases with height; therefore, the isobaric surfaces in the cyclone are bent in the form of funnels, decreasing from the periphery to the center (Fig. 54). Consequently, on the map of absolute topography in the center of the cyclone there will be isohypses with lower values ​​of height, and on the periphery there will be isohypses with higher values ​​(Fig. 55). In the area of ​​high pressure - anticyclone, on the contrary, at each level in the center there will be the highest pressure; therefore, the isobaric surfaces in the anticyclone will have the shape of domes, and on the map of the absolute baric topography in the center of the anticyclone we will find the isohypses with the highest values ​​(see the same figures).

Rice. 54. Isobaric surfaces in a cyclone (H) and in an anticyclone (B) in a vertical section.

They also make maps of relative baric topography. On such a map, the heights of a certain isobaric surface are plotted, but measured not from sea level (as on maps of absolute baric topography), but from another, lying below the isobaric surface. For example, you can map the height of a surface 500 mb above the surface 1000 mb etc.

Rice. 55. Cyclone (H) and anticyclone (B) on the map of the absolute topography of the isobaric surface 500 mb.

Numbers are heights in tens of meters. In a cyclone, the isobaric surface lies closer to sea level than in an anticyclone.

Such heights are called relative, and the isohypses drawn along them are called relative isohypses. The relative height of one isobaric surface above the other depends on the average air temperature between these two surfaces (Fig. 56). From Chapter 2 we know that the baric step depends on the temperature. But the baric step, i.e., the distance between two levels with pressure differing by one, is, in essence, the relative height of one isobaric surface above another.

Rice. 56. Isobaric surfaces in areas of heat (T) and cold (X) in a vertical section. In the area of ​​heat they are moved apart, in the area of ​​cold they are brought together.

From this it follows that the distribution on the map of relative heights can be used to judge the distribution of average temperatures in the air layer between the two isobaric surfaces taken.

Rice. 57. Areas of heat (T) and cold (X) on the map of the relative topography of the isobaric surface 500 mb above the surface 1000 mb.

In areas of heat, the thickness of the atmospheric layer between the two surfaces is increased, in areas of cold, it is reduced.

The higher the relative height, the higher the layer temperature. Therefore, relative topography maps show the distribution of temperature in the atmosphere (Fig. 57). It is sometimes said that absolute and relative topography maps together represent the thermobaric field of the atmosphere.

In the weather service, absolute topography maps are usually compiled for isobaric surfaces 1000, 850, 700, 500, 300, 200, 100, 50, 25 mb, and maps of relative topography - for the surface 500 over 1000 mb. Maps of baric topography are also compiled using averaged data over time intervals from several days to a month. For climatological purposes, maps of baric topography compiled from long-term averages are used.

Baric topography maps, strictly speaking, do not plot the heights of isobaric surfaces, but their geopotentials. Geopotential (absolute) is the potential energy of a unit mass in the field of gravity. In other words, the geopotential of an isobaric surface at each of its points is the work that must be expended against gravity in order to raise a unit of mass from sea level to a given point. By definition, the geopotential at each point in the atmosphere is equal to Ф = gz, where z is the height of the point above sea level, and g- acceleration of gravity. So, at any point of the isobaric surface under a given latitude for a given value of gravity, there is a certain geopotential proportional to the height of this point above sea level. Therefore, the use of geopotential instead of height is quite possible and has certain theoretical and technical advantages. In this case, the geopotential is expressed in such units (geopotential meters) at which it is numerically close to the height expressed in meters (and exactly equal to it at sea level under a latitude of 45 °). In this regard, geopotential is also called dynamic or geopotential height.

The relative geopotential, respectively, is equal to the difference between the absolute geopotentials of two points lying on the same vertical.

isobars

Maps of absolute baric topography for several isobaric surfaces in their totality clearly represent the baric field of the atmosphere in those layers in which these isobaric surfaces are located. But, in addition, for a long time it has been customary to depict the baric field at sea level using lines of equal pressure - isobars. To do this, put on a geographical map the values ​​​​of atmospheric pressure measured at the same moment at sea level or reduced to this level, connect points with the same pressure isobars. Each isobar is a trace of the intersection of some isobaric surface with sea level. On a map covering a particular geographical area, it is possible to draw a whole family of isobars for any moment in time (Fig. 58). They are usually carried out in such a way that each isobar differs in pressure from neighboring isobars by 5 mb. Thus, isobars can have, for example, the values ​​990, 995, 1000, 1005, 1010 mb etc. It is possible, of course, to draw isobars through another number of millibars, for example, through 10 mb, 2mb.

Rice. 58. Isobars at sea level (in millibars).

H - cyclone, B - anticyclone.

Isobars can be constructed not only for sea level, but also for any higher level. However, the weather service does not compile isobar maps for the free atmosphere, but the baric topography maps described above.

The isobar map also shows the already mentioned areas of low and high pressure - cyclones and anticyclones. In a cyclone, the lowest (minimum) pressure is observed in the center; on the contrary, the highest pressure is observed in the anticyclone in the center. Sea level isobar maps, like baric topography maps, show a constant movement of these regions and a change in their intensity, and hence constant changes in the baric field. In the practice of the weather service, separate isobar maps are not used. Comprehensive synoptic maps are compiled, on which, in addition to pressure at sea level, other meteorological elements are plotted according to ground-based observations. On these maps, isobars are drawn.

In climatology, isobar maps for sea level are used, compiled from long-term averages.

Horizontal baric gradient

Looking at the isobars on the synoptic map, we notice that in some places the isobars are thicker, in others - less often.

It is obvious that in the first places the atmospheric pressure changes in the horizontal direction more strongly, in the second - weaker. They also say: "faster" and "slower", but one should not confuse the changes in space in question with changes in time.

To accurately express how atmospheric pressure changes in the horizontal direction, you can use the so-called horizontal baric gradient, or horizontal pressure gradient. Chapter 4 discussed the horizontal temperature gradient. Similarly, the change in pressure per unit distance in a horizontal plane (more precisely, on a level surface) is called a horizontal pressure gradient; in this case, the distance is taken in the direction in which the pressure decreases most strongly. And such a direction of the strongest change in pressure at each point is the direction along the normal to the isobar at this point.

Thus, the horizontal baric gradient is a vector whose direction coincides with the direction of the normal to the isobar in the direction of decreasing pressure, and the numerical value is equal to the derivative of pressure along this direction. Let's denote this vector by the symbol - С R, and its numerical value -dp/dn where P is the direction of the normal to the isobar.

Like any vector, the horizontal baric gradient can be represented graphically by an arrow; in this case, an arrow directed along the normal to the isobar in the direction of decreasing pressure. In this case, the length of the arrow should be proportional to the numerical value of the gradient (Fig. 59).

At different points in the baric field, the direction and magnitude of the baric gradient will, of course, be different. Where the isobars are condensed, the change in pressure per unit distance along the normal to the isobar is greater; where the isobars are moved apart, it is smaller. In other words, the magnitude of the horizontal baric gradient is inversely proportional to the distance between the isobars.

If there is a horizontal baric gradient in the atmosphere, this means that the isobaric surfaces in a given section of the atmosphere are inclined to the level surface and, therefore, intersect with it, forming isobars. Isobaric surfaces are always inclined in the direction of the gradient, i.e., where the pressure decreases (Fig. 60).

Rice. 59. Isobars and horizontal baric gradient. The arrows indicate the horizontal baric gradient at three points in the baric field.

Rice. 60. Isobaric surfaces in a vertical section and the direction of the horizontal baric gradient. Double line - level surface

The horizontal baric gradient is the horizontal component of the total baric gradient. The latter is represented by a spatial vector, which at each point of the isobaric surface is directed along the normal to this surface towards the surface with a lower pressure value. The numerical value of this vector is -dp/dn; but here n- the direction of the normal to the isobaric surface. The total baric gradient can be decomposed into vertical and horizontal components, or into vertical and horizontal gradients. You can also decompose it into three components along the axes of rectangular coordinates X, Y, Z. The pressure changes with height much more strongly than in the horizontal direction. Therefore, the vertical baric gradient is tens of thousands of times greater than the horizontal one. It is balanced or almost balanced by the force of gravity directed opposite to it, as follows from the basic equation of atmospheric statics. The vertical baric gradient does not affect the horizontal movement of air. Later in this chapter, we will only talk about the horizontal baric gradient, simply calling it the baric gradient.

In practice, the average baric gradient is measured on synoptic maps for a particular section of the baric field. Namely, they measure the distance ∆ n between two adjacent isobars in a given area along a straight line, which is quite close to the normals of both isobars. Then the pressure difference between the isobars ∆ p(usually it is 5 mb) divided by this distance, expressed - in large units - degrees of the meridian (111 km). The average baric gradient will be represented by the ratio of finite differences - ∆ p/n mb/deg. Instead of a meridian degree, it is now more common to take 100 km. The baric gradient in the free atmosphere can be determined from the distance between isohypses on baric topography maps. Under actual atmospheric conditions near the earth's surface, horizontal baric gradients are on the order of a few millibars (usually 1-3) per meridian degree.

The difference in atmospheric pressure between two areas both at the earth's surface and above it causes a horizontal movement of air masses - the wind. On the other hand, gravity and friction on the earth's surface hold air masses in place. Therefore, wind occurs only at a pressure drop that is large enough to overcome air resistance and cause it to move. Obviously, the pressure difference must be related to the distance unit. As a unit of distance, they used to take 10 meridian, that is, 111 km. At present, for simplicity of calculations, we agreed to take 100 km.

The horizontal baric gradient is a pressure drop of 1 mb over a distance of 100 km along the normal to the isobar in the direction of decreasing pressure.

The wind speed is always proportional to the gradient: the greater the excess air in one area compared to another, the stronger its outflow. On maps, the magnitude of the gradient is expressed by the distances between the isobars: the closer one is to the other, the greater the gradient and the stronger the wind.

In addition to the baric gradient, the rotation of the Earth, or the Coriolis force, centrifugal force and friction act on the wind.

The rotation of the Earth (Coriolis force) deflects the wind in the northern hemisphere to the right (in the southern hemisphere to the left) from the direction of the gradient. The theoretically calculated wind, which is affected only by the forces of the gradient and Coriolis, is called geostrophic. It blows tangentially to the isobars.

The stronger the wind, the greater its deflection due to the rotation of the Earth. It increases with increasing latitude. Over land, the angle between the direction of the gradient and the wind reaches 45-50 0 , and over the sea - 70-80 0 ; its average value is 60 0 .

Centrifugal force acts on the wind in closed baric systems - cyclones and anticyclones. It is directed along the radius of curvature of the trajectory towards its convexity.

The force of air friction on the earth's surface always reduces the wind speed. Wind speed is inversely proportional to the amount of friction. With the same pressure gradient over the sea, steppe and desert plains, the wind is stronger than over rugged hilly and forest terrain, and even more so mountainous. Friction affects the lower, approximately 1000-meter layer, called the friction layer. Above, the winds are geostrophic.

The direction of the wind is determined by the side of the horizon from which it blows. To designate it, a 16-beam wind rose is usually taken: C, NW, NW, WNW, W, WSW, SW, SSW, S, SSE, SE, ESE, B, NE, NE, NNE.

Sometimes the angle (rhumb) between the direction of the wind and the meridian is calculated, with north (N) considered as 0 0 or 360 0, east (E) - for 90 0, south (S) - 180 0, west (W) - 270 0.

8.25 Causes and significance of the inhomogeneity of the Earth's baric field

For the geographic envelope, it is not the pressure maxima and minima themselves that are important, but the direction of those vertical air currents that create them.

The size of atmospheric pressure shows the direction of vertical air movements - ascending or descending, and they either create conditions for moisture condensation and precipitation, or exclude these processes. There are two main types of relationship between air humidity and its dynamics: cyclonic with ascending currents and anticyclonic with descending currents.

In ascending currents, the air cools adiabatically, its relative humidity rises, water vapor condenses, clouds form and precipitation falls. Consequently, rainy weather and a humid climate are characteristic of baric minima. Condensation occurs gradually and at all altitudes. In this case, the latent heat of vaporization is released, which causes a further rise in air, its cooling and condensation of new portions of moisture, which entails the release of new portions of latent heat. At the same time, four mutually connected processes are going on: 1) air rise, 2) air cooling, 3) steam condensation and 4) release of latent heat of vaporization. The root cause of all these processes is the solar heat spent on the evaporation of water.

In descending air masses, adiabatic heating and a decrease in air humidity occur; clouds and precipitation cannot form. Consequently, baric maxima, or anticyclones, are characterized by cloudless, clear and dry weather and a dry climate. From the surface of the oceans in the fields high pressure there is a significant evaporation, the intensity of which is favored by a cloudless sky. The moisture from here is carried away to other places, since the descending air must inevitably move to the sides. From tropical highs, it goes in the form of a trade wind to the equator.

The processes of assimilation of solar heat by the atmosphere, the dynamics of air masses and moisture circulation are mutually connected and conditioned.

The circulation of the atmosphere and the inhomogeneity of the baric field are caused by two unequal reasons. The first and main one is the heterogeneity of the Earth's thermal field, the thermal difference between the equatorial and polar latitudes. Indeed, there is a heater at the equator, and refrigerators at the poles. They create a first-order heat engine.

For thermal reasons, a fairly simple circulation of air would be established on a non-rotating planet. At the equator, heated air rises, rising currents near the earth's surface form a low-pressure belt called the equatorial baric minimum. In the upper troposphere, isobaric surfaces rise and air flows towards the poles.

In the polar latitudes, cold air descends, areas of high pressure form near the earth's surface, and the air returns to the equator.

The thermal difference between latitudes causes the transfer of air masses along the meridians or, as they say in climatology, the meridional component of atmospheric circulation.

Thus, the essence of the heat engine that causes the circulation of the atmosphere lies in the fact that part of the energy of solar radiation is converted into the energy of atmospheric movements. It is proportional to the temperature difference between the equator and the poles.

The second reason for atmospheric circulation is dynamic; it lies in the rotation of the planet. Air circulation directly between the equatorial and polar latitudes is impossible, since the entire sphere in which the air moves rotates. Horizontal air flows both in the upper troposphere and near the earth's surface, under the influence of the Earth's rotation, will certainly deviate to the right in the northern hemisphere and to the left in the southern hemisphere. This is how the zonal component of the atmospheric circulation arises, directed from West to East and forming the west-east (western) transport of air masses. On a rotating planet, west-east transport acts as the main type of atmospheric circulation.

Seasonal perturbations of the Earth's thermal field, due to differences in the heating of the oceans and continents, cause fluctuations in atmospheric pressure above them. In winter over Eurasia and North America it is colder than over the oceans in the same latitudes. The isobaric surfaces over the equators of the oceans are higher than over the land. The air above flows from the oceans to the continents. The total mass of the air column over the continents is increasing. Extensive winter baric maxima are formed here - the Siberian maximum with a pressure of up to 1,040 mb and the somewhat smaller North American maximum with a pressure of up to 1,022 mb. Over the oceans, the mass of the air column decreases, and depressions form. This is how a second-order heat engine is created.

In summer, thermal contrasts between land and sea decrease, minima and maxima seem to dissolve, pressure equalizes or changes to the opposite of winter. In Siberia, for example, it drops to 1,006 mb.

Seasonal fluctuations in atmospheric pressure over land and sea create the so-called monsoon factor.

On the southern continents, in the January (summer for them) part of the year, baric minima are formed, outlined by closed isobars.

Alternate semi-annual heating of the northern and southern hemispheres causes a shift of the entire baric field of the Earth towards the summer hemisphere - in the January part of the northern year, and in the July part of the southern one.

The equatorial minimum in the January part of the year lies south of the equator, in July it is shifted to the north, reaching the northern tropic in South Asia. Iran-Tara (South Asian) minimum is created over Iran and the Thar desert. The pressure in it drops to 994 mb.