RU2013101277A - METHOD FOR INTEGRATED ASSESSMENT OF THE GEOMAGNETIC PSEUDO-DRILL EFFECT - Google Patents

Abstract

A method for comprehensively assessing the effect of geomagnetic pseudo-storms, including measuring variations in the geomagnetic field, characterized in that they measure the geodetic coordinates of the current location, the height of the object above sea level with a non-zero angular or linear velocity, the time taken to move the object along a known path, and the total length of this trajectories, after which the complex of parameters of the geomagnetic pseudo-storm is calculated - the effect of the appearance of the equivalent of geomagnetic variation observed in the volume of the existence of an object in an unperturbed anisotropic geomagnetic field, subject to a non-zero angular or linear velocity of this object, namely: the amplitude of the geomagnetic pseudo-storm according to the formula: B = BB, where B and B are the induction of the geomagnetic field of the intra-ground sources at the start and end points of the object’s movement, respectively , [nT], determined for a given point from the expression: where φ is the latitude positive to the north; φ 'is the latitude in spherical coordinates; λ is the longitude positive to the east; θ is the complement to latitude; r is the geocentric distance taking into account the compression of the Earth; then, the intensity of the geomagnetic pseudo-storm is calculated by the formula: where I is the intensity of the geomagnetic pseudo-storm, [pcT]; t and t are the initial and final time, respectively, during which the object is moving; then, the frequency of the geomagnetic pseudo-storm is calculated by the formula: , where Δt is the time interval spent on moving the object from point A to point B; then, the potentiality of the geomagnetic pseudo-storm is calculated by the formula:, where B is the induction of the geomagnetic field of the intra-ground sources,

Claims (1)

A method for comprehensively assessing the effect of geomagnetic pseudo-storms, including measuring variations in the geomagnetic field, characterized in that they measure the geodetic coordinates of the current location, the height of the object above sea level with a non-zero angular or linear velocity, the time taken to move the object along a known path, and the total length of this trajectories, after which the complex of parameters of the geomagnetic pseudo-storm is calculated - the effect of the appearance of the equivalent of geomagnetic variation observed in the volume of the existence of an object in an unperturbed anisotropic geomagnetic field, subject to a non-zero angular or linear velocity of this object, namely: the amplitude of the geomagnetic pseudo-storm according to the formula: B _amp = B _{0_Bi-j} -B _{0_Ai} , where B _{0_Ai} and B _{0_Bi-j} is the induction of the geomagnetic field of the intra _-ground sources at the start and end points of movement of the object, respectively, [nT], determined for this point from the expression: $$\begin{array}{l}{\text{B}}_{\text{0}}^{\text{2}}\text{(r}\text{, λ}\text{, θ)}={\left[\frac{\text{one}}{\text{r}}\frac{\partial \text{U}}{\partial \text{θ}}\text{cos (}\varphi -\varphi \text{')}+\frac{\partial \text{U}}{\partial \text{r}}\text{sin (}\varphi -\varphi \text{')}\right]}^{\text{2}}+\\ +{\left[\frac{\text{one}}{\text{r}\cdot \text{sinθ}}\frac{\partial \text{U}}{\partial \text{λ}}\right]}^{\text{2}}+{\left[\frac{\partial \text{U}}{\partial \text{r}}\text{cos (}\varphi -\varphi \text{')}-\frac{\text{one}}{\text{r}}\frac{\partial \text{U}}{\partial \text{θ}}\text{sin (}\varphi -\varphi \text{')}\right]}^{\text{2}}\text{,}\end{array}$$

where φ is the latitude positive to the north; φ 'is the latitude in spherical coordinates; λ - longitude, positive east; θ - complement to latitude; r is the geocentric distance taking into account the compression of the Earth; then calculate the intensity of the geomagnetic pseudo-storm according to the formula: $${\text{I}}_{\text{B}}=\frac{\partial \text{B}}{\partial \text{t}}\approx \frac{{\text{B}}_{\text{0\_Bi}-\text{j}}-{\text{B}}_{\text{0\_Ai}}}{{\text{t}}_{\text{2}}-{\text{t}}_{\text{one}}}\cdot {\text{10}}^{\text{3}}\text{,}$$

where I _B is the intensity of the geomagnetic pseudo-storm, [pcT]; t ₁ and t ₂ - the initial and final point in time, respectively, during which the movement of the object; then calculate the frequency of the geomagnetic pseudo-storm according to the formula: $$f_B=\frac{\mathrm{one}}{2\Delta t}$$

, where Δt is the time interval spent on moving the object from point A _i to point B _ij ; then calculate the potentiality of the geomagnetic pseudo-storm according to the formula: $$G_B=\nabla B_0(\theta ,\lambda ,r)=grad{B}_0(\theta ,\lambda ,r)=\left(\frac{\partial B_0}{\partial \theta },\frac{\partial B_0}{\partial \lambda },\frac{\partial B_0}{\partial r}\right)$$

, where B ₀ is the induction of the geomagnetic field of intraterrestrial sources, determined from the relation: $$\begin{array}{l}{\text{B}}_{\text{0}}^{\text{2}}\text{(r}\text{, λ}\text{, θ)}={\left[\frac{\text{one}}{\text{r}}\frac{\partial \text{U}}{\partial \text{θ}}\text{cos (}\varphi -\varphi \text{')}+\frac{\partial \text{U}}{\partial \text{r}}\text{sin (}\varphi -\varphi \text{')}\right]}^{\text{2}}+\\ +{\left[\frac{\text{one}}{\text{r}\cdot \text{sinθ}}\frac{\partial \text{U}}{\partial \text{λ}}\right]}^{\text{2}}+{\left[\frac{\partial \text{U}}{\partial \text{r}}\text{cos (}\varphi -\varphi \text{')}-\frac{\text{one}}{\text{r}}\frac{\partial \text{U}}{\partial \text{θ}}\text{sin (}\varphi -\varphi \text{')}\right]}^{\text{2}}\text{,}\end{array}$$

where φ is the latitude positive to the north; φ 'is the latitude in spherical coordinates; λ - longitude, positive east; θ - complement to latitude; r is the geocentric distance taking into account the compression of the Earth; after which the results of the calculated physical parameters are compared with the readings of the magnetometer and the ranking of geomagnetic activity indices, on the basis of which, if they coincide, they judge the nature of the occurrence of geomagnetic variations in the volume of existence of an object having a nonzero angular or linear velocity, as well as the belonging of the amplitude of the geomagnetic pseudo-storm one of the set table intervals, after which, in accordance with the table, the K _GMBP index of the geomagnetic pseudo- _{storm is} determined.