Summary of the invention
The object of the present invention is to provide the radar logging systems that a kind of single-shot four is received, and devise suitable for the well logging system
The imaging method of system, the logging system can be realized high-precision well logging three-dimensional imaging.
To achieve the above object, the solution of the present invention includes:
A kind of imaging method of four antennas receiving array radar logging system, four antenna receiving array radar logging system packets
A transmitting antenna and four dipole receiving antennas are included, four dipole receiving antennas are parallel, set at equal intervals by circumferencial direction
It sets, each dipole antenna is equal at a distance from two adjacent dipole antennas;Four dipole receiving antennas with
One transmitting antenna is arranged up and down;Steps are as follows for imaging method:
Quadrature coil magnetic-field component is calculated by the electric field component from four dipole antennas;
Target bearing is calculated by orthogonal coil magnetic field.
Further, four dipoles are denoted as East, West, South, North antenna respectively;Electric and magnetic fields are discrete for time sequence
Column, west are to electric fieldEast orientation electric field isThe surrounded region equivalent coil of thing antenna
Surveyed magnetic field isAntenna surrounded the surveyed magnetic field of region equivalent coil in north and south isRoot
According to It calculatesSimilarly, it finds out
Further, with the BewAnd BnsFor x, y;According to Si=xicosαi+yisinαi,It obtains
Its
In, αiIndicate the incident angle of signal, xi、yiRespectively indicate the component in signal level direction and vertical direction, SiIndicate synthesis
Signal, subscript i indicate the sampling number of time series, i1、i2Indicate the first sampled point serial number and most for the time window chosen
The latter sampled point serial number;Two tangent values of the corresponding angle of every bit are acquired by the formula, by seeking arc tangent, often
One sampled point obtains two angle values, the two angle values are brought into formulaTake that angle value so that Q (α i) big, the angle as the point
Angle value.
Beam radar logging system of the invention uses a transmitting antenna Tx and four receiving antenna Rx, passes through analysis four
Waveform minor differences received by a receiving antenna, so that it is determined that the specific azimuth of underground target geological body, and then utilization side
Parallactic angle carries out three-dimensional imaging by well.Radar imagery logger can be placed in well, emitted using transmitting antenna and utilization connects
It receives antenna and receives electromagnetic wave, and judge that the information such as the location fix of objective body, the present invention include being suitble to according to the signal received
In the synthesis of the algorithm and magnetic field data of quadrature receiving coil, the depth of objective body can be judged by well and away from wellbore distance, simultaneously
The orientation of objective body by well can also be calculated, and for being imaged, this method is appropriate for various related geophysical explorations, can
For in petroleum, coalfield, metallic ore and engineering investigation.Common radar logging system can only judge objective body depth and
Away from well spacing from, can not judge target bearing, the radar logging data processing algorithm for the aerial array that the present invention is suitble to single-shot four to receive,
The orientation of objective body can be calculated, and for being imaged, which is appropriate for various related geophysical explorations, can be used for stone
In oil, coalfield, metallic ore and engineering investigation.
Specific embodiment
The present invention will be further described in detail with reference to the accompanying drawing.
Beam radar logging system as shown in Figure 1, a transmitting antenna Tx and four dipole receiving antenna Rx, transmitting
Antenna is below receiving antenna.Four electric dipole receiving antennas are distributed on a circumference in the plane perpendicular to wellbore,
And it is angularly distributed, such as Fig. 2.By waveform minor differences received by four receiving antennas of analysis, so that it is determined that underground target
The specific azimuth of geologic body, and then three-dimensional imaging by well is carried out using azimuth.The east, south, west, north provided in Fig. 2 four
Direction is not actual geographic orientation.North orientation need to be only measured in practice, is subject to the antenna for being directed at north orientation, so that it may be corrected it
His aerial position.
It further include the various equipment such as processor about logging system, but these equipment belong to the prior art, therefore no longer
Here it is described in detail.
The imaging method of logging system is specifically described below.
Imaging method mainly includes two aspects:
First, quadrature coil magnetic-field component is calculated by the electric field component from four antennas.Second, by orthogonal coil
Magnetic field calculates target bearing.
It is illustrated in turn below.
(1) it is suitable for the method for quadrature receiving coil
Two are considered first two coil of same position omnidirectional distribution the case where, received physical quantity is magnetic field signal,
See Fig. 3 a, Fig. 3 b.
Since the distance of target geological body in vertical direction can have been provided by ordinary radar well logging, so only discussing
In a plane, the orientation of target geological body.We use magnetic field data, and α is incident at an angle for signal, such as Fig. 4 institute
Show, in this way, incoming signal can be broken down into the component in two vertical direction using incidence point as origin, be respectively labeled as x and
y.In this way, the component in two vertical direction can synthesize incoming signal.If indicating the sampling number of time series with i,
The then available following expression of composite signal.
Si=xicosαi+yisinαi (1)
So the key of this research is to seek α i, we choose the length of a wavelet as time window, one
In a time window, it would be desirable to seek incidence angle using least square method, i.e., in a time window, meet following public affairs
Formula is maximum.
Entire window includes n point, calculates since the last one point of window enters first point together, moves every time
A sampled point is moved, when the last one point of window moves to the last one sampled point of the road, the calculating in the road stops.Entirely
The process of operation is divided into window and does not have completely passed into two parts completely into window, when window not completely into
When, calculate the part between first, road sampled point and window the last one sampled point, when window completely into when, calculate one
Sampled point in a window.
Formula (2) differentiates to α i and can obtain following formula
It can be in the hope of two tangent values of the corresponding angle of every bit, in this way by seeking arc tangent, often by the formula
Available two angle values of one sampled point, the two angle values are brought into formula (2), and we take so that big that of Q (α i)
A angle value, the angle value as the point.
(2) synthesis of magnetic field data
Consider that actual reception system is four dipole antennas, receives electric field signal, need to be converted to electric field signal
Magnetic field signal could use above-mentioned algorithm.
Since in practice, we can only obtain the electric field data in the vertical direction of four receiving antennas, below with
Maxwell equation group synthesizes the magnetic field data in both direction, and analyzes it.
The relationship of variation magnetic field and electric field is expressed as:
Wherein E is electric field intensity, and ds is small surface element vector, and B is magnetic flux density vector, and H is magnetic intensity vector,
Dl is small line element vector.
By taking East and West direction antenna as an example, as shown in figure 5, choose is positive direction clockwise.It enablesWherein
East orientation is that electric field is Ee, west to electric field be Ew, consider the polarization direction of transmitting antenna, the electric field on upper and lower side is Eh, clockwise
Direction is positive direction.Enabling dl is antenna length, lxFor antenna distance.By electric and magnetic fields it is discrete be time series, west is to electric field
ForEast orientation electric field isThe surveyed magnetic field B of the surrounded region equivalent coil of thing antennaewForThe surveyed magnetic field B of the surrounded region equivalent coil of north and south antennansFor
Discrete, a certain moment is carried out to equation (4),
Dt is time step in formula, and ds is area coil.
Two formulas are merged, following relational expression can be obtained,
It considersIt can calculate
Similarly, it can find out,BewAnd Bns, i.e. x and y in Fig. 4.
Specific embodiment of the present invention is presented above, but the present invention is not limited to described embodiment.
Under the thinking that the present invention provides, to the skill in above-described embodiment by the way of being readily apparent that those skilled in the art
Art means are converted, are replaced, are modified, and play the role of with the present invention in relevant art means it is essentially identical, realize
Goal of the invention it is also essentially identical, the technical solution formed in this way is to be finely adjusted to be formed to above-described embodiment, this technology
Scheme is still fallen in protection scope of the present invention.