RU1805415C - Method of determination of orientation of three-component seismometer - Google Patents

Description

the displacement vector in the known coordinate system i,, "and with the origin at the point of location of the seismometer

(dojl sin / si / sin wnjl),

I.J-1,2,3,

(2)

where p are the angles between the directions of the resulting displacement vectors and the directions of the incident and reflected waves, respectively. Using the coordinates AJI of the resulting displacement vectors and the recordings of the seismometer components of the recorded displacements Aji, the directing cosines aji of the coordinate system of the seismometer 1, e 2 are determined by solving linear equation systems

A „|

K 1

L kt ajk,

numerical at the coordinates of the points of radiation and the seismometer, amounted to

,,

.5.

,

, 865,

.865,

, 5M., 58m., 58 m.

The calculated modules Ani of the displacement vectors of the incident waves were 5 mmk, mmk, mmk. From the directions of the displacement vectors of the incident waves and the direction of the normal Γ (0,0,1) to the bottom surface, the directions of the displacement vectors of the reflected waves having the direction cosines doji are determined by the formula (1)

, d02i 0,

, 5, do22 0,

do, d023 -0.5,

,

, 865,

, 865.

, 2,3,, 2, 3,

(3)

where Wu Aki, Wu Aw.

. Then, using the directional cosines aji, the orientation of the bottom seismometer is determined by the formula

-. -g

e j aijeY + a2je2 + a3jer

(4)

In the drawing drawing about the arrangement of the three-component seismic f meter and emission points, an option

The invention in the laboratory,.; Other conditions was carried out as follows: In a glass ubba with a length of 1 m, glued inside with a layer of porous rubber with a thickness of O N and filled with water, set on a sandy bottom with 0.1 m in the center of the three-set; junior seismic vibration sensor. The depth of the reservoir is 0.50 m. The initial Cartesian coordinate system is connected with the location point of the seismometer with the basic vectors 1i (1,0 0), 2 (0,1,0), of (0,0.1), directed along the edges of the cube. Of the three points located on the surface of the reservoir, with coordinates (XL yi, zi) (0, 0, 0.5 m), (X2, U2. 22) {-0.29, 0, 0.5 m), ( chz.UZ, gZMO, 0.29, 05m) sequentially emit sound energy using a sound source with a power of 20 mW with a center frequency of 200 kHz.

The direction cosines dnji of the displacement vectors of the incident waves and the distance RI from the points of radiation to the seismic sensor,

The displacement components recorded by the seismometer amounted to

, .11,, 11,

, 89 mmk,, 55 mmk,, 55 mmk.

thirty

The coordinates of the resulting displacement vectors AJI in the original coordinate system, calculated by the formula (2), amounted to

5

Si 1-0,,

,

,,,

f

, 5mmk., 73 mmk., 73 mmk.

By solving the system of linear equations (3) using the Cramer method, we find the direction cosines of the intrinsic coordinate system of the seismometer

, 6,, 7,

, 6,, 7,

,5.,

.4,

,4,

,9.

0

5

The directional cosines ajt determine the orientation of the axes of the seismometer according to the formula (4)

, 6 e1-0, 5ez,

B, 7,.

e s, -0.4e + OAe2 + 0.3% &

Claims (1)

SUMMARY OF THE INVENTION A method for determining the orientation of a three-component seismometer, including locating the seismometer at a point with known coordinates, recording a seismometer-radiation from an elastic source i oscillations, determining the direction and distance from the source to the seismometer and determining the orientation, characterized in that, in order to improve the accuracy of determining the orientation of the seismometer installed at the bottom of the reservoir, sequential single emission sound waves from three points of the aquatic environment are produced, then recorded With a seismometer, each radiation, in directions and directions the displacement vectors of the incident waves and the direction of the reflected waves are found at a distance from the points of radiation to the seismometer, from which the coordinates of the resulting displacement vectors in the known coordinate system and in the seismometer’s own coordinate system are determined by the seismometer records and its orientation along the guides cosines of the seismometer’s own coordinate system. (,)