High precision field measurement method for geomagnetic vectors and a device thereof

Abstract

A tripod, a vertical coil and a total-field magnetometer are utilized to measure a geomagnetic field T.sub.0 without an additional magnetic field imposed, as well as two composite magnetic field values T.sub.1 and T.sub.2 when the geomagnetic field is added with a vertical upward magnetic field T.sub.f and a double vertical upward magnetic field 2T.sub.f, respectively. Calculate a vertical component Z, a horizontal component H and a geomagnetic inclination I of the geomagnetic field. Set up a horizontal coil such that a geometric center of the horizontal coil coincides with a geometric center of the vertical coil. Use the total-field magnetometer to measure two composite magnetic field values T.sub.+ and T.sub. after the geomagnetic field has been added with a horizontal forward magnetic field and a horizontal reverse magnetic field, respectively. Calculate a geomagnetic declination D.

Claims

1. A high precision field measurement method for geomagnetic vectors, the method comprising: using a tripod, a vertical coil and a total-field magnetometer to measure a geomagnetic field T.sub.0 without an additional magnetic field imposed; measuring two composite magnetic field values T.sub.1 and T.sub.2 when the geomagnetic field is added with a vertical upward magnetic field T.sub.f and is added with a double vertical upward magnetic field 2T.sub.f, respectively; calculating a vertical component Z, a horizontal component H and a geomagnetic inclination I of the geomagnetic field as follows: $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$ $H=\sqrt{T_0^2-Z^2}$ $\cos \left(I\right)=\frac{H}{T_0};$ setting up a horizontal coil such that a geometric center of the vertical coil coincides with a geometric center of the horizontal coil; using the total-field magnetometer to measure two composite magnetic field values T.sub.+ and T.sub. after the geomagnetic field has been added with a horizontal forward magnetic field and a horizontal reverse magnetic field, respectively; and calculating a geomagnetic declination as follows: $\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$ $\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$ wherein D0 is an included angle between an axial line of the horizontal coil and a geographical north direction, a known preset value.

2. The high precision field measurement method for geomagnetic vectors of claims 1, the method further comprising: mounting the horizontal coil on the vertical coil such that the geometric center of the vertical coil coincides with the geometric center of the horizontal coil; placing the probe of the total-field magnetometer at a location where the geometric centers of the two coils coincide, wherein the horizontal coil is a Helmholtz coil; using the total-field magnetometer to measure the composite magnetic fields wherein the geomagnetic field has been added with a horizontal forward magnetic field T.sub.+ and a horizontal reverse magnetic field T.sub.; and calculating the geomagnetic declination as follows: $\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$ $\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$ wherein D0 is the included angle between the axial line of the horizontal coil and the geographic north direction, a known preset value.

3. A high precision field measurement method for geomagnetic vectors, the method comprising: using a tripod, a vertical coil and a total-field magnetometer to measure a geomagnetic field T.sub.0 without an additional magnetic field imposed; measuring two composite magnetic field values T.sub.1 and T.sub.2 when the geomagnetic field is added with a vertical upward magnetic field T.sub.f and is added with a double vertical upward magnetic field 2T.sub.f, respectively; and calculating a vertical component Z, a horizontal component H and a geomagnetic inclination I of the geomagnetic field, wherein the method comprises the following steps: placing a probe of the total-field magnetometer inside the vertical coil and mounting the vertical coil on the tripod, wherein the vertical coil is a Helmholtz coil; connecting the vertical coil to an excitation power supply through a conducting wire, the excitation power supply provided with a wave-band switch thereon; adjusting the switch on the excitation power supply such that the excitation power supply does not power on the vertical coil, and using the total-field magnetometer to measure the geomagnetic field T.sub.o without an additional magnetic field imposed; adjusting the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity I, generating inside the vertical coil the vertical upward magnetic field T.sub.f , and using the total-field magnetometer to measure the composite magnetic field T.sub.1 of the magnetic field T.sub.f and the geomagnetic field; and adjusting the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity 2I, generating inside the vertical coil the vertical upward magnetic field 2T.sub.f , using the total-field magnetometer to measure the composite magnetic field T.sub.2 of the magnetic field 2T.sub.f and the geomagnetic field; and using T.sub.o, T.sub.1 and T.sub.2 to calculate the vertical component Z, the horizontal component H and the geomagnetic inclination I of the geomagnetic field as follows: $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$ $H=\sqrt{T_0^2-Z^2}$ $\cos \left(I\right)=\frac{H}{T_0}.$

4. The high precision field measurement method for geomagnetic vectors of claim 3, further comprising the following steps: mounting a horizontal coil on the vertical coil such that a geometric center of the vertical coil coincides with a geometric center of the horizontal coil, and connecting the horizontal coil to the excitation power supply, wherein the horizontal coil is a Helmholtz coil; adjusting the switch on the excitation power supply such that the excitation power supply forwardly powers on the horizontal coil and generates a forward magnetic field, and using the total-field magnetometer to measure a composite magnetic field T.sub.+ of the forward magnetic field of the horizontal coil and the geomagnetic field; adjusting the switch on the excitation power supply such that the excitation power supply reversely powers on the horizontal coil and generates a reverse magnetic field, using the total-field magnetometer to measure a composite magnetic field T.sub. of the reverse magnetic field of the horizontal coil and the geomagnetic field, and using the measured values of T.sub.o, T.sub.1, T.sub.2, T.sub.+ and T.sub. to calculate a geomagnetic declination D of the geomagnetic field, as follows: $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$ $H=\sqrt{T_0^2-Z^2}$ $\cos \left(I\right)=\frac{H}{T_0}$ $\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$ $\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$ wherein D0 is an included angle between an axial line of the horizontal coil and a geographic north direction, a known preset value.

5. A device for high precision field measurement of geomagnetic vectors, comprising: a tripod; a horizontal dial mounted on the tripod; a tumbler mounted on the horizontal dial; a fixed column mounted in the tumbler; a coil holder mounted on the fixed column; two half-shaft brackets mounted on the coil holder; two half-shafts each mounted at a top end of a respective one of the two half-shaft brackets; a vertical coil frame connected to each of the two half-shafts via a corresponding connecting plate; a horizontal coil frame connected with the vertical coil frame; a horizontal coil wound along the horizontal coil frame; a vertical coil wound along the vertical coil frame, with geometric centers of the vertical coil and the horizontal coil coinciding with each other; a coil excitation power supply connected to both the vertical coil and the horizontal coil through conducting wires; and a probe connected via a conducting wire to a total-field magnetometer, the probe mounted at a location where the geometric centers of the vertical coil and the horizontal coil coincide.

6. The device for high precision field measurement of geomagnetic vectors of claim 5, further comprising: a supporting plate mounted on the horizontal coil frame; two mutually orthogonal long glass level bubbles mounted on the supporting plate; and a plane on which the two long glass level bubbles are located is parallel with a plane of the vertical coil.

7. The device for high precision field measurement of geomagnetic vectors of claim 5, further comprising: a rotating base mounted at an upper end of the horizontal dial and around an outer periphery of the tumbler, with an upper-end surface of the rotating base connected with the coil holder, and with a locking bolt mounted on a side surface of the rotating base.

8. The device for high precision field measurement of geomagnetic vectors of claim 5, wherein the vertical coil frame and the horizontal coil frame mounted on the two half-shafts of the coil holder are mutually orthogonal, wherein the coil frames can vertically rotate by 180 around the horizontal half-shafts, and wherein the coil holder can horizontally rotate by 180 around the fixed column.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) FIG. 1 is a schematic diagram for field measurement of geomagnetic vectors according to an embodiment of the present disclosure; the surface of the figure represents a vertical plane which passes through geomagnetic field vector T and an axial line of the vertical coil; H represents the horizontal component, Z represents the vertical component, T.sub.f and 2T.sub.f represent vertical additional magnetic fields with values differing by one time and a direction opposite to the vertical component of the geomagnetic field; Z-T.sub.f represents the vertical component of a composite magnetic field with an additional magnetic field applied reversely; Z-2T.sub.f represents the vertical component of a composite magnetic field with double the additional magnetic field applied reversely; T.sub.o represents a normal geomagnetic field observed when no additional magnetic field is applied; T.sub.1 and T.sub.2 each represents a composite magnetic fields observed with the additional reverse vertical magnetic field and the double reverse vertical magnetic field applied, respectively.

(2) FIG. 2 is a structural diagram of a measurement device for a field measurement method for geomagnetic vectors according to an embodiment of the present disclosure.

(3) FIG. 3 is an enlarged diagram of portion I of the structural diagram of FIG. 2.

(4) FIG. 4 is a structural diagram showing the measurement device of FIG. 3 when viewed in the A direction of FIG. 3.

(5) Numerals of the figures represent the following: 1: tripod; 2: fixing plate; 3: horizontal dial; 4: adjusting bolt; 5: rotating base; 6: tumbler; 7: fixing nut; 8: coil holder; 9: fixed column; 10: Locking bolt; 11: horizontal coil frame; 12: vertical wire frame; 13: probe fixing barrel; 14: probe of total-field magnetometer; 15: connecting rod; 16: supporting plate; 17: aiming device; 18: glass circular level bubble; 19: through hole; 20: vertical coil; 21: horizontal coil; 22: total-field magnetometer; 23 and 24: glass long level bubbles; 25 and 26: half-shaft brackets; 27 and 28: connecting plates; 29 and 30: half-shafts; 31: level bubble; 32: power supply; K: switch.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

(6) A high precision field measurement method for geomagnetic vectors according to the present disclosure may involve the following: using a tripod, a vertical coil and a total-field magnetometer, measure a geomagnetic field T.sub.0 without an additional magnetic field imposed; measure two composite magnetic field values T.sub.1 and T.sub.2 when the geomagnetic field is added with a vertical upward magnetic field T.sub.f and is added with a double vertical upward magnetic field 2T.sub.f, respectively; and calculate a vertical component Z, a horizontal component H and a geomagnetic inclination I of the geomagnetic field as follows:

(7) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$

(8) A high precision field measurement method for geomagnetic vectors according to the present disclosure may involve the following: set up a horizontal coil, such that a geometric center of the vertical coil coincides with a geometric center of the horizontal coil; use the total-field magnetometer to measure two composite magnetic field values T.sub.+and T.sub.after the geomagnetic field has been added with a horizontal forward magnetic field and a horizontal reverse magnetic field, respectively; and calculate a geomagnetic declination as follows:

(9) 0$\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$$\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$

(10) wherein D0 is an included angle between an axial line of the horizontal coil and a geographical north direction, a known preset value.

(11) The high precision field measurement method for geomagnetic vectors of the present disclosure may involve the following steps:

(12) {circle around (1)} Place a probe of the total-field magnetometer inside the vertical coil and mount the vertical coil on the tripod, wherein the vertical coil is a Helmholtz coil;

(13) {circle around (2)} Connect the vertical coil to an excitation power supply through a conducting wire, the excitation power supply provided with a wave-band switch thereon;

(14) {circle around (3)} Adjust the switch on the excitation power supply such that the excitation power supply does not power on the vertical coil; and use the total-field magnetometer to measure the geomagnetic field T.sub.o without an additional magnetic field imposed;

(15) {circle around (4)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity I, generating inside the vertical coil the vertical upward magnetic field T.sub.f; and use the total-field magnetometer to measure the composite magnetic field T.sub.1 of the magnetic field T.sub.f and the geomagnetic field;

(16) {circle around (5)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity 2I, generating inside the vertical coil the vertical upward magnetic field 2T.sub.f; use the total-field magnetometer to measure the composite magnetic field T.sub.2 of the magnetic field 2T.sub.f and the geomagnetic field; and, using T.sub.o, T.sub.1 and T.sub.2, calculate the vertical component Z, the horizontal component H and the geomagnetic inclination I of the geomagnetic field as follows:

(17) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$

(18) The present disclosure also states the following: mount the horizontal coil on the vertical coil such that the geometric center of the vertical coil coincides with the geometric center of the horizontal coil; place the probe of the total-field magnetometer at a location where the geometric centers of the two coils coincide, wherein the horizontal coil is a Helmholtz coil; use the total-field magnetometer to measure the composite magnetic fields wherein the geomagnetic field has been added with a horizontal forward magnetic field T.sub.+and a horizontal reverse magnetic field T.sub.; and calculate the geomagnetic declination as follows:

(19) $\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$$\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$

(20) wherein D0 is the included angle between the axial line of the horizontal coil and the geographic north direction, a known preset value.

(21) {circle around (1)} Place a probe of the total-field magnetometer inside the vertical coil and mount the vertical coil on the tripod, wherein the vertical coil is a Helmholtz coil;

(22) {circle around (2)} Connect the vertical coil to an excitation power supply through conductor conducting wire, the excitation power supply provided with a wave-band switch thereon;

(23) {circle around (3)} Adjust the switch on the excitation power supply such that the excitation power supply does not power on the vertical coil; and use the total-field magnetometer to measure the geomagnetic field T.sub.o without an additional magnetic field imposed;

(24) {circle around (4)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity I, generating inside the vertical coil the vertical upward magnetic field T.sub.f; and use the total-field magnetometer to measure the composite magnetic field T.sub.1 of the magnetic field T.sub.f and the geomagnetic field;

(25) {circle around (5)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity 2I, generating inside the vertical coil the vertical upward magnetic field 2T.sub.f; use the total-field magnetometer to measure the composite magnetic field T.sub.2 of the magnetic field 2T.sub.f and the geomagnetic field; and, using T.sub.o, T.sub.1 and T.sub.2, calculate the vertical component Z, the horizontal component H and the geomagnetic inclination I of the geomagnetic as follows:

(26) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$

(27) {circle around (6)} Mount a horizontal coil on the vertical coil such that a geometric center of the vertical coil coincides with a geometric center of the horizontal coil, and connect the horizontal coil to the excitation power supply, wherein the horizontal coil is a Helmholtz coil;

(28) {circle around (7)} Adjust the switch on the excitation power supply such that the excitation power supply forwardly powers on the horizontal coil and generates a forward magnetic field; and use the total-field magnetometer to measure a composite magnetic field T.sub.+of the forward magnetic field of the horizontal coil and the geomagnetic field;

(29) {circle around (8)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the horizontal coil and generates a reverse magnetic field; use the total-field magnetometer to measure a composite magnetic field T.sub.of the reverse magnetic field of the horizontal coil and the geomagnetic field; and, using the measured values of T.sub.o, T.sub.1, T.sub.2, T.sub.+and T.sub., calculate a vertical component Z, a horizontal component H, a geomagnetic inclination I and a geomagnetic declination D of the geomagnetic field, as follows:

(30) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$$\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$$\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$

(31) wherein D0 is an included angle between an axial line of the horizontal coil and a geographic north direction, a known preset value.

(32) A device used in the high precision field measurement method for geomagnetic vectors as disclosed by the present disclosure may include a tripod (1); a horizontal dial (3) mounted on the tripod (1); a tumbler (6) mounted on the horizontal dial (3); a fixed column (9) mounted in the tumbler (6); a coil holder (8) mounted on the fixed column (9); two half-shaft brackets mounted on the coil holder (8); two half-shafts each mounted at a top end of a respective one of the two half-shaft brackets; a vertical coil frame (12) connected to each of the two half-shafts via a corresponding connecting plate; a horizontal coil frame (11) connected with the vertical coil frame (12); a horizontal coil (21) wound along the horizontal coil frame (11); a vertical coil (20) wound along the vertical coil frame (12), with geometric centers of the vertical coil (20) and the horizontal coil (21) coinciding with each other; a coil excitation power supply connected to both the vertical coil (20) and the horizontal coil (21) through conducting wires; and a probe (14) connected via a conducting wire to a total-field magnetometer (22), the probe mounted at a location where the geometric centers of the vertical coil (20) and the horizontal coil (21) coincide; glass circular level bubbles (18) are mounted on an outer periphery of the horizontal dial (3).

(33) A preferred embodiment of the device provided by the present disclosure includes: a supporting plate (16) is mounted on the horizontal coil frame (11); two mutually orthogonal long glass level bubbles (23) and (24) are mounted on the supporting plate (16); and a plane on which the two long glass level bubbles are located is parallel with a plane of the vertical coil; a rotating base (5) is mounted at an upper end of the horizontal dial (3) and around an outer periphery of the tumbler (6), with an upper-end surface of the rotating base (5) connected with the coil holder (8), and with a locking bolt (10) mounted on a side surface of the rotating base (5); the vertical coil frame (12) and the horizontal coil frame (11) mounted on the two half-shafts of the coil holder (8) are mutually orthogonal, the coil frames can vertically rotate by 180 around the horizontal half-shafts, and the coil holder (8) can horizontally rotate by 180 around the fixed column (9).

(34) For the high precision field measurement method for geomagnetic vectors as stated in the present disclosure, a preferred integral solution is a measurement method combining a vertical coil and a horizontal coil, which involves the following steps:

(35) {circle around (1)} A tripod (1) is mounted on an observation location; a horizontal dial (3) is mounted on the tripod (1); a tumbler (6) is mounted on the horizontal dial (3); a fixed column (9) is mounted in the tumbler (6); a coil holder (8) is mounted on the fixed column (9); two half-shaft brackets are mounted on the coil holder (8); each of two half-shafts is mounted at a top end of a respective one of the two half-shaft brackets; a vertical coil frame (12) is connected to each of the two half-shafts via a corresponding connecting plate; a horizontal coil frame (11) is connected with the vertical coil frame (12); a horizontal coil (21) is wound along the horizontal coil frame (11); a vertical coil (20) is wound along the vertical coil frame (12), with geometric centers of the vertical coil (20) and the horizontal coil (21) coinciding with each other; a coil excitation power supply is connected to both the vertical coil (20) and the horizontal coil (21) through conducting wires; a probe (14) is connected via a conducting wire to a total-field magnetometer (22), and the probe is mounted at a location where the geometric centers of the vertical coil and the horizontal coil coincide;

(36) {circle around (2)} Adjust the tripod such that the vertical coil is in a vertical condition and the horizontal coil is in a horizontal condition, wherein an azimuth of the horizontal coil is D0, while both the vertical coil and the horizontal coil are Helmholtz coils;

(37) {circle around (3)} Adjust a switch on excitation power supply such that the excitation power supply does not power on the vertical coil; use the total-field magnetometer to measure a geomagnetic field T.sub.o without an additional magnetic field imposed;

(38) {circle around (4)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a power supply intensity I, generating inside the vertical coil a vertical upward magnetic field T.sub.f; and use the total-field magnetometer to measure a composite magnetic field T.sub.1 of the magnetic field T.sub.f and the geomagnetic field;

(39) {circle around (5)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a power supply intensity 2I, generating inside the vertical coil a vertical upward magnetic field 2T.sub.f; use the total-field magnetometer to measure a composite magnetic field T.sub.2 of the magnetic field 2T.sub.f and the geomagnetic field; and, using T.sub.o, T.sub.1 and T.sub.2, calculate a vertical component Z, a horizontal component H and a geomagnetic inclination I of the magnetic field as follows:

(40) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$

(41) {circle around (6)} Mount the horizontal coil on the vertical coil such that a geometric center of the vertical coil coincides with a geometric center of the horizontal coil, and connect the horizontal coil to the excitation power supply, wherein the horizontal coil is a Helmholtz coil;

(42) {circle around (7)} Adjust the switch on the excitation power supply such that the excitation power supply forwardly powers on the horizontal coil and generates a forward magnetic field; and use the total-field magnetometer to measure a composite magnetic field T.sub.+of the forward magnetic field of the horizontal coil and the geomagnetic field;

(43) {circle around (8)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the horizontal coil and generates a reverse magnetic field; use the total-field magnetometer to measure a composite magnetic field T.sub.of the reverse magnetic field of the horizontal coil and the geomagnetic field; and, using the measured values of T.sub.o, T.sub.1, T.sub.2, T.sub.+and T.sub., calculate a vertical component Z, a horizontal component H, a geomagnetic inclination I and a geomagnetic declination D of the geomagnetic field, as follows:

(44) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$$\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$$\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$

(45) wherein D0 is an included angle between an axial line of the horizontal coil and a geographic north direction, a known preset value.

(46) According to the high precision field measurement method for geomagnetic vectors of the present disclosure, it is feasible to use only the vertical coil to measure the vertical component Z, the horizontal component H and the geomagnetic inclination I of the geomagnetic field. With the vertical coil and the horizontal coil combined, it is feasible to measure the vertical component Z, the horizontal component H, the geomagnetic inclination I and the geomagnetic declination D of the geomagnetic field.

(47) Embodiment 1

(48) In order to use the device used in the high precision field measurement method for geomagnetic vectors provided by the present disclosure to measure the geomagnetic vectors, mount the tripod in such device at an intended observation location such that a plane of the circular level bubble at the top of the tripod is roughly centered. Adjust the leveling knob of the tripod such that both the vertical and horizontal level bubbles on the vertical coil are centered. Use an aiming device to aim at a direction symbol which is preset on the ground surface according to a profile azimuth angle D0 such that the azimuth of the horizontal coil is D0. The measurement steps are as follows:

(49) {circle around (1)} Mount probe 14 that is connected via a conducting wire to total-field magnetometer 22 at a location where the geometric centers of the vertical coil and the horizontal coil coincide;

(50) {circle around (2)} Adjust the tripod leveling knob such that the vertical coil is in a vertical state, the horizontal coil is in a horizontal state and the azimuth of horizontal coil is D0;

(51) {circle around (3)} Adjust the switch on the excitation power supply such that the excitation power supply does not power on the vertical coil; use the total-field magnetometer to measure the geomagnetic field T.sub.o without an additional magnetic field;

(52) {circle around (4)} Adjust the switch on the excitation power such that the excitation power supply reversely powers on the vertical coil with a current intensity I, generating inside the vertical coil a vertical upward magnetic field T.sub.f; and use the total-field magnetometer to measure the composite magnetic field T.sub.1 of the magnetic field T.sub.f and the geomagnetic field;

(53) {circle around (5)} Adjust the switch on the excitation power such that the excitation power supply reversely powers on the vertical coil with a current intensity 2I, generating inside the vertical coil a vertical upward magnetic field 2T.sub.f; use the total-field magnetometer to measure the composite magnetic field T.sub.2 of the magnetic field 2T.sub.f and the geomagnetic field; and, using T.sub.o, T.sub.1 and T.sub.2, calculate the vertical component Z, the horizontal component H and the geomagnetic inclination I of the geomagnetic field as follows:

(54) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$

(55) {circle around (6)} Mount the horizontal coil on the vertical coil such that a geometric center of the vertical coil coincides with a geometric center of the horizontal coil, and connect the horizontal coil to the excitation power supply, wherein the horizontal coil is a Helmholtz coil;

(56) {circle around (7)} Adjust the switch on the excitation power supply such that the excitation power supply forwardly powers on the horizontal coil and generates a forward magnetic field; and use the total-field magnetometer to measure a composite magnetic field T.sub.+of the forward magnetic field of the horizontal coil and the geomagnetic field;

(57) {circle around (8)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the horizontal coil and generates a reverse magnetic field; use the total-field magnetometer to measure a composite magnetic field T.sub.of the reverse magnetic field of the horizontal coil and the geomagnetic field; and, using the measured values of T.sub.o, T.sub.1, T.sub.2, T.sub.+and T.sub., calculate a vertical component Z, a horizontal component H, a geomagnetic inclination I and a geomagnetic declination D of the geomagnetic field, as follows:

(58) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$$\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}$$\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$

(59) wherein D0 is an included angle between an axial line of the horizontal coil and a geographic north direction, a known preset value. This completes the measurement of the geomagnetic field components at this measuring point. Repeat the said steps to complete the measurement at a next measuring point.

(60) Both the vertical coil and the horizontal coil are Helmholtz coils.

(61) To reduce the influence of azimuth error and leveling error, it is feasible to rotate the coil holder by 180 horizontally and repeat the adjusting of the excitation power switch such that the excitation power supply reversely powers on the vertical coil and subsequently reversely applies 2 times the current on the vertical coil. The resulted composite magnetic fields, T.sub.1 and T.sub.2, of each of the two reverse magnetic fields and the geomagnetic field are then respectively measured using the total-field magnetometer. It is also feasible to rotate the horizontal coil by 180 vertically and repeat the adjusting of the excitation power switch such that the excitation power supply forwardly and reversely powers on the horizontal coil, respectively. The resulted composite magnetic fields, T.sub.+and T.sub., of each of the forward and reverse magnetic fields and the geomagnetic field are then respectively measured using a total-field magnetometer. The measured values are then averaged with the values measured prior to the rotations and taken as the measurement result.

(62) Embodiment 2

(63) In order to use the device used in the high precision field measurement method for geomagnetic vectors provided by the present disclosure to measure the geomagnetic vectors, mount the tripod in such device at an intended observation location such that a plane of the circular level bubble at the top of the tripod is roughly centered. Adjust the leveling knob of the tripod such that both the vertical and horizontal level bubbles on the vertical coil are centered. Maintain the axial line of the vertical coil in a vertical state. The measurement steps are as follows:

(64) {circle around (1)} Place a probe of the total-field magnetometer inside the vertical coil and mount the vertical coil on the tripod, wherein the vertical coil is a Helmholtz coil;

(65) {circle around (2)} Connect the vertical coil to an excitation power supply through a conducting wire, the excitation power supply provided with a wave-band switch thereon;

(66) {circle around (3)} Adjust the switch on the excitation power supply such that the excitation power supply does not power on the vertical coil; and use the total-field magnetometer to measure the geomagnetic field T.sub.o without an additional magnetic field imposed;

(67) {circle around (4)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity I, generating inside the vertical coil the vertical upward magnetic field T.sub.f; and use the total-field magnetometer to measure the composite magnetic field T.sub.1 of the magnetic field T.sub.f and the geomagnetic field;

(68) {circle around (5)} Adjust the switch on the excitation power supply such that the excitation power supply reversely powers on the vertical coil with a current intensity 2I, generating inside the vertical coil the vertical upward magnetic field 2T.sub.f; use the total-field magnetometer to measure the composite magnetic field T.sub.2 of the magnetic field 2T.sub.f and the geomagnetic field; and, using T.sub.o, T.sub.1 and T.sub.2, calculate the vertical component Z, the horizontal component H and the geomagnetic inclination I of the geomagnetic field as follows:

(69) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$H=\sqrt{T_0^2-Z^2}$$\cos \left(I\right)=\frac{H}{T_0}$

(70) This completes the measurement of the geomagnetic field components at this measuring point. Repeat the said steps to complete the measurement at a next measuring point.

(71) To reduce the influence of azimuth error and leveling error, it is feasible to rotate the coil holder by 180 horizontally and repeat the adjusting of the excitation power switch such that the excitation power supply reversely powers on the vertical coil. The resulted composite magnetic field, T.sub.1, of the reverse magnetic field and the geomagnetic field is measured using the total-field magnetometer. Subsequently, adjust the excitation power switch such that the excitation power supply reversely powers on the vertical coil with twice the current. The resulted composite magnetic field, T.sub.2, of the reverse magnetic field and the geomagnetic field is measured using the total-field magnetometer. Averaged values can be taken as the measurement result.

(72) The principle for geomagnetic vector measurement using the measurement method of the present disclosure is shown in FIG. 1. The principle of the method for calculating the vertical component Z, horizontal component H, geomagnetic inclination I and geomagnetic declination D of geomagnetic field is as follows: at a probe of a total-field magnetometer, respectively apply magnetic fields with a direction opposite to the vertical component of geomagnetic field and intensity values of T.sub.f and 2T.sub.f. Use the total-field magnetometer to respectively measure a geomagnetic field T.sub.o where no additional magnetic field is provided, a composite magnetic field T.sub.1 where magnetic field T.sub.f is added, as well as a composite magnetic field T.sub.2 where magnetic field 2T.sub.f is added. The values of the aforementioned magnetic fields would satisfy the following set of equations (FIG. 1):

(73) 0$T_{-1}^2=H^2+{\left(Z-T_f\right)}^2$$T_{-2}^2=H^2+{\left(Z-T_f\right)}^2$$T_0^2=H^2+Z^2$$\mathrm{Sin}\left(I\right)=\frac{Z}{T_0}$

(74) The following can be obtained by solving the set of equations:

(75) $Z=\frac{T_{-2}^2-4T_{-1}^2+3T_0^2}{\sqrt{8\left(T_{-2}^2-2T_{-1}^2+T_0^2\right)}}$$\mathrm{Sin}\left(I\right)=\frac{Z}{T_0}$$H=\sqrt{T_0^2-Z^2}$

(76) In middle- and high-latitude regions, the normal geomagnetic inclination is relatively higher, and the influence on the magnetic inclination from an additional magnetic field in the vertical direction is relatively reduced. By using the additional reverse vertical magnetic field and the additional double reverse vertical magnetic field, it is feasible to effectively improve the effect of the vertical additional magnetic fields.

(77) T.sub.+represents the composite magnetic field observed with a forward horizontal magnetic field is added, and T.sub.represents the composite magnetic field observed with a reverse horizontal magnetic field is added. The axial line of the horizontal coil is oriented in an arbitrary but known direction D0. Through a similar analysis as the three-dimensional geometric analysis as illustrated in FIG. 1, it is feasible to derive the following:

(78) $\cos \left(D1\right)=\frac{T_{+//}^2-T_{-//}^2}{T_0\cos \left(I\right)\sqrt{8\left(T_{+//}^2+T_{-//}^2-2T_0^2\right)}}:\mathrm{Geomagnetic}\mathrm{declination}D=D0-D1:$

(79) wherein D0 is the included angle between the axial line of the horizontal coil and the geographic north direction, a known preset value.

(80) T.sub.0 represents the normal geomagnetic field observed when no additional magnetic field is applied;

(81) T.sub.1 represents the composite magnetic field measured by the total-field magnetometer when the vertical coil is reversely excited;

(82) T.sub.2 represents the composite magnetic field measured by the total-field magnetometer when the vertical coil is two times reversely excited;

(83) T.sub.+represents the composite magnetic field measured by the total-field magnetometer when the horizontal coil is forwardly excited;

(84) T.sub.represents the composite magnetic field measured by the total-field magnetometer when the horizontal coil is reversely excited.

(85) The coil excitation power supply described in the present disclosure is able to provide a stable current of 1-100 mA, generating a magnetic field of 100-2000 nT in the coils. The total-field magnetometer can be an optical pump magnetometer, an Overhauser proton magnetometer or a common proton magnetometer.

(86) In the method described in the present disclosure, the measurement of T.sub.o, T.sub.1, T.sub.2, T.sub.+and T.sub.may also be controlled and completed by using a single chip and programmed control circuits that automatically and sequentially perform and complete the calculation of the geomagnetic field components after the measurement.

(87) Additional Notes

(88) The herein-described subject matter sometimes illustrates different components contained within, or connected with, different other components. It is to be understood that such depicted architectures are merely examples, and that in fact many other architectures can be implemented which achieve the same functionality. In a conceptual sense, any arrangement of components to achieve the same functionality is effectively associated such that the desired functionality is achieved. Hence, any two components herein combined to achieve a particular functionality can be seen as associated with each other such that the desired functionality is achieved, irrespective of architectures or intermedial components. Likewise, any two components so associated can also be viewed as being operably connected, or operably coupled, to each other to achieve the desired functionality, and any two components capable of being so associated can also be viewed as being operably couplable, to each other to achieve the desired functionality. Specific examples of operably couplable include but are not limited to physically mateable and/or physically interacting components and/or wirelessly interactable and/or wirelessly interacting components and/or logically interacting and/or logically interactable components.

(89) Further, with respect to the use of substantially any plural and/or singular terms herein, those having skill in the art can translate from the plural to the singular and/or from the singular to the plural as is appropriate to the context and/or application. The various singular/plural permutations may be expressly set forth herein for sake of clarity.

(90) Moreover, it will be understood by those skilled in the art that, in general, terms used herein, and especially in the appended claims, e.g., bodies of the appended claims, are generally intended as open terms, e.g., the term including should be interpreted as including but not limited to, the term having should be interpreted as having at least, the term includes should be interpreted as includes but is not limited to, etc. It will be further understood by those within the art that if a specific number of an introduced claim recitation is intended, such an intent will be explicitly recited in the claim, and in the absence of such recitation no such intent is present. For example, as an aid to understanding, the following appended claims may contain usage of the introductory phrases at least one and one or more to introduce claim recitations. However, the use of such phrases should not be construed to imply that the introduction of a claim recitation by the indefinite articles a or an limits any particular claim containing such introduced claim recitation to implementations containing only one such recitation, even when the same claim includes the introductory phrases one or more or at least one and indefinite articles such as a or an, e.g., a and/or an should be interpreted to mean at least one or one or more; the same holds true for the use of definite articles used to introduce claim recitations. In addition, even if a specific number of an introduced claim recitation is explicitly recited, those skilled in the art will recognize that such recitation should be interpreted to mean at least the recited number, e.g., the bare recitation of two recitations, without other modifiers, means at least two recitations, or two or more recitations. Furthermore, in those instances where a convention analogous to at least one of A, B, and C, etc. is used, in general such a construction is intended in the sense one having skill in the art would understand the convention, e.g., a system having at least one of A, B, and C would include but not be limited to systems that have A alone, B alone, C alone, A and B together, A and C together, B and C together, and/or A, B, and C together, etc. In those instances where a convention analogous to at least one of A, B, or C, etc. is used, in general such a construction is intended in the sense one having skill in the art would understand the convention, e.g., a system having at least one of A, B, or C would include but not be limited to systems that have A alone, B alone, C alone, A and B together, A and C together, B and C together, and/or A, B, and C together, etc. It will be further understood by those within the art that virtually any disjunctive word and/or phrase presenting two or more alternative terms, whether in the description, claims, or drawings, should be understood to contemplate the possibilities of including one of the terms, either of the terms, or both terms. For example, the phrase A or B will be understood to include the possibilities of A or B or A and B.

(91) From the foregoing, it will be appreciated that various implementations of the present disclosure have been described herein for purposes of illustration, and that various modifications may be made without departing from the scope and spirit of the present disclosure. Accordingly, the various implementations disclosed herein are not intended to be limiting, with the true scope and spirit being indicated by the following claims.