The present disclosure relates to geophone devices for sensing vibrations in earth formations, and may be applicable to other types of vibration transducers, either in sensing or transmitting operation. More specifically, the present disclosure relates to a damping controlled geophone.
In seismic exploration, vibrations in the earth resulting from a source of seismic energy may be sensed at discrete locations by sensors and the output of the sensors used to image underground structures, or to locate seismic events. The source of seismic energy can be natural, such as earthquakes and other tectonic activity, subsidence, volcanic activity or the like, or man-made such as acoustic noise from surface or underground operations, or from deliberate operation of seismic sources at the surface or underground. Seismic sensors fall into two categories: hydrophones that sense the pressure field resulting from a seismic source, or geophones that sense vibration arising from a seismic source.
An oscillatory geophone is shown in
When the earth moves due to the seismic energy propagating either directly from the source or via an underground reflector, the geophone 10, which can be located at the earth's surface or on the wall of a borehole penetrating the earth, moves in the direction of the particle motion resulting from propagation of the energy. If the axis of the geophone 10 is aligned with the direction of motion, however, the coil windings 12, 13 mounted on the springs 20, 22 inside the geophone 10 stay in the same position causing relative motion of the moving coil with respect to the magnetic flux 25 that moves with the housing 24. When the moving coil moves in the magnetic field, a measurable voltage is induced in the moving coil, which is proportional to the velocity of the relative motion between the moving coil and the magnetic flux 25.
Variations of geophones are described in U.S. Pat. No. 7,099,235 to Kamata, U.S. Publication 2011/0007608 to Woo, and U.S. Pat. No. 4,159,464 to Hall.
In at least one aspect, the disclosure relates to a vibration transducer with controlled damping. The vibration transducer may include a magnet. The vibration transducer may include a bobbin disposed about the magnet. The vibration transducer may include a first coil disposed about the bobbin. The vibration transducer may include a controllable damping coil disposed about the bobbin. The first coil is movable relative to the magnet. The magnet is polarized with respect to the axis of the vibration transducer.
In at least one aspect, the disclosure relates to a seismic sensor. The seismic sensor includes controlled damping. The seismic sensor may include a magnet. The seismic sensor may include a bobbin disposed about the magnet. The seismic sensor may include a first coil disposed about the bobbin. The seismic sensor may include a controllable damping coil disposed about the bobbin. The first coil is movable relative to the magnet. The magnet is polarized with respect to the axis of the seismic sensor. The seismic sensor may also include a sensor housing. The seismic sensor may also include at least one signal output connectable to a data processing system.
In at least one aspect, the disclosure relates to a method of manufacturing a vibration transducer. The method may include providing a housing having a magnet structure disposed in the housing, and a bobbin and moving coil disposed about the magnet structure and resiliently mounted relative to the housing and the magnet structure. The method may also include providing a damping coil disposed concentrically about the bobbin adjacent to the moving coil.
This summary is provided to introduce a selection of concepts that are further described below in the detailed description. This summary is not intended to identify key or essential features of the claimed subject matter, nor is it intended to be used as an aid in limiting the scope of the claimed subject matter.
Embodiments of systems, apparatuses, and methods for a controlled damping geophone are described with reference to the following figures. Like numbers are used throughout the figures to reference like features and components.
In the following description, numerous details are set forth to provide an understanding of the present disclosure. However, it will be understood by those skilled in the art that the present disclosure may be practiced without these details and that numerous variations or modifications from the described embodiments are possible.
Currents can be induced in a geophone bobbin to dampen oscillating motion of the bobbin relative to the remainder of the geophone as the coils move in a magnetic field. Damping caused in the bobbin may be accounted for, and controlled, by implementing a short circuit damping coil and temperature insensitive wire, such as Constantan. The damping coil can be controlled to produce effective damping (e.g., approximately 70%) without an external shunt resistor. In an embodiment, the damping coil may be manufactured of Constantan wire to limit temperature dependency.
Referring now to
Referring now to
As the coil moves in the magnetic flux 25, the coil generates signal eg, which can be defined by:
eg=Blv Equation 1
where B represents the magnetic flux density, l represents the length of the coil, v represents the velocity of the moving coil relative to the magnetic field, and u represents the displacement of the ground motion. The product, Bl, represents the conversion factor of a geophone from velocity of ground motion to the electric signal, eg, and can be defined as open circuit sensitivity, S0.
The current i flowing out of the coil and returned through the shunt resistor Rs can be defined by:
Current in the coil causes a force f to limit the motion of the coil, which can be defined by:
f=S0i Equation 3
A spring force acting on the moving mass m is proportional to the difference between the coil displacement x and the ground displacement u and can be defined by:
−k(x−u) Equation 4
where k is the spring constant.
A damping force is related to the velocity of the coil in the magnetic field and can be defined by:
where c is the friction factor proportional to the velocity, t is time. One cause of damping may be the current flowing in the metallic bobbin, as friction of the moving mass in the air and the loss in the spring can be negligibly small.
Motion of the moving coil can be described in an equation of motion:
From Equations 1 and 2, current can be defined as:
A relative position of the moving coil to the ground motion in the housing can be defined as:
ξ=x−u Equation 8
A natural frequency ω0 and a controlled damping D0 can be defined as:
Equation 6 can be rewritten as
The total damping D can be defined as:
The equation of motion for the moving mass can be rewritten as:
Assuming that ground motion u may be governed by:
u=a sin(ωt) Equation 14
where a denotes the amplitude and ω is the angular frequency of the ground motion.
Then:
where the phase delay φ of the coil motion is
The electric signals can be governed by:
In a first example, a geophone has response parameters shown in Table 1.
The total damping factor D is adjusted by shunt resistors Rs to adjust Case 1 (D=0.3), Case 2 (D=0.7) and Case 3 (D=1.0) according to Equation 12 as shown in Table 2.
The output signal can be reduced by the shunt resistance and coil resistance, and the overall sensitivity S can be governed by:
The amplitude response of the geophone with the response parameters shown in Table 1 for unit velocity against frequency in Hertz is calculated using Equation 17 for different cases of shunt resistor shown in Table 2. The plot 200 in
The phase response 300 resulting from Equation 16 is shown in
In an example embodiment, the coil resistance r is a function of temperature. Typically the coil can be made of copper magnetic wire and the temperature dependency is found in an empirical relation as:
r=r
0{1+0.00393(T−T0)}
where T is the operating temperature, T0 is the room temperature, typically 20 degrees Celsius, and r0 is the resistance at the room temperature.
The natural frequency f0, open circuit damping D0, and open circuit sensitivity S0 may change with temperature.
For an example geophone with response parameters: f0=15 Hz; S0=52; D0=0.57; r=2400 ohm; m=0.0078 kg; the total damping is about 70% with Rs=11672 ohm. The controlled damping is reduced by about 30% while the reduction of the open circuit sensitivity is about 5%. The coil resistance increases by about 61% at 175 degrees Celsius. Assume that the shunt resistance does not change with temperature, then the total damping is reduced by about 28% at 175 degrees Celsius by using Equation 12 with the temperature dependencies shown in
The resistance of the bobbin may be taken into account in order to control damping. The magnet wire is wound on a metallic bobbin 614 as shown in
where ρ represents specific electrical resistance; H represents the height of the bobbin 614; τ represents the thickness of the bobbin 614; db represents the diameter of the bobbin 614.
The equation of motion (of the bobbin 614 and the moving coil 612) can be rewritten to include the damping caused in the bobbin 614, accordingly:
where Dr is the damping unrelated to the current in the bobbin 614, such as the friction in surrounding air and/or the friction in the spring material. The controlled damping in turn, can take the form:
Then the total damping can be governed by:
In comparison, a controllable damping coil added to a geophone may provide controlled damping without using the bobbin as the element to cause the damping, and thus, without an external shunt resistor. In an embodiment, the damping coil may be made of Constantan wire to limit the temperature dependency.
Various aspects of the bobbin and/or the damping coil may be designed to achieve particular results. For example, the thickness of the bobbin may be reduced by high precision machining, but there may be a limit to the effect of thickness. In an embodiment, the bobbin, when manufactured of a conductive metal, may be slotted as shown in
In an embodiment, a sheet metal may be employed to manufacture the bobbin, as described in U.S. Pat. No. 7,099,235. In an embodiment, the bobbin is formed from a simple tube of suitable thickness and material. For example, a plastic tube might be 0.15 mm thick and have a mass of about 2 g, which can be extruded or formed in any suitable manner. Optionally, the bobbin 814 may be formed from a flat sheet into a tubular shape with a slot 826 down one side (
In
In an embodiment, insulation material may be cladded to the bobbin as shown in
In the case that optimal damping resistance is high relative to the resistance of the bobbin, the damping resistance may dominate the total resistance, so the temperature dependency can be controlled by a chip resistor. As seen in
In still another embodiment, an embodiment of the geophone 1100 includes one or more independent damping coil(s), as shown in
The resistance of the bobbin rb may be calculated as:
where dw is the wire diameter of the damping coil, db is the diameter of the bobbin, ρ is the resistivity of the bobbin, and n is the number of turns of the damping coil.
By implementing a damping coil with an open circuit response when output terminals are open, the amount of damping and temperature coefficient can be controlled. In turn, the controlled damping may be optimized to a particular degree of damping, for example, to about 70%, as would be achieved in a conventional geophone using external shunt resistor. By using temperature insensitive wire, such as Constantan, the temperature effects on the controlled damping can be reduced at high temperatures (for example, about 175 degrees Celsius and higher). Demagnetization of the magnet may affect the efficacy of damping, but to a lesser degree than in conventional geophones.
Alternatively, in an embodiment of geophone 1200, a damping coil 1236 can also be embedded in the material of a plastic bobbin 1214 as shown in
Alternatively, in an embodiment of geophone 1300, an equivalent effect may be achieved by wrapping thin metallic foil as the damping coil 1338 around a slotted bobbin 1314 after providing insulation 1340 on the bobbin 1314, such as insulation sheet or an anodic oxidation coating on the bobbin 1314 as shown in
Geophones of the present disclosure find particular applications in seismic surveying equipment.
Although a few example embodiments have been described in detail above, those skilled in the art will readily appreciate that many modifications are possible in the example embodiments without materially departing from this disclosure. Accordingly, such modifications are intended to be included within the scope of this disclosure as defined in the following claims. In the claims, means-plus-function clauses are intended to cover the structures described herein as performing the recited function and not simply structural equivalents, but also equivalent structures. Thus, although a nail and a screw may not be structural equivalents in that a nail employs a cylindrical surface to secure wooden parts together, whereas a screw employs a helical surface, in the environment of fastening wooden parts, a nail and a screw may be equivalent structures. It is the express intention of the applicant not to invoke 35 U.S.C. §112, paragraph 6 for any limitations of any of the claims herein, except for those in which the claim expressly uses the words ‘means for’ together with an associated function.