CN102608666A - Fast and accurate depth inversion method of transient electromagnetic data - Google Patents
Fast and accurate depth inversion method of transient electromagnetic data Download PDFInfo
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- CN102608666A CN102608666A CN2012100797683A CN201210079768A CN102608666A CN 102608666 A CN102608666 A CN 102608666A CN 2012100797683 A CN2012100797683 A CN 2012100797683A CN 201210079768 A CN201210079768 A CN 201210079768A CN 102608666 A CN102608666 A CN 102608666A
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Abstract
The invention relates to a fast and accurate depth inversion method of transient electromagnetic data. According to the delay time equivalent simple relationship in a periodic and transient electromagnetic method of a magnetotelluric method, a Bostick inversion method of the magnetotelluric method is adopted for building an initial model, the Bostick depth is taken, and finally, the thickness and the electric resistivity of each electric layer are sequentially adjusted according to differences between measured values and apparent resistivity theoretical fitted values calculated through inversion. The invention has the advantages that the method is simple and convenient, the operation is easy, good processing effects are realized on theoretical data and actual measurement data, the fast inversion can be realized to obtain the depth conforming to the geologic structure, and the data processing speed and the explanation precision of the transient electromagnetic method are greatly improved, so the great development and the application of the method technology are promoted.
Description
Technical field
The invention belongs to the geophysical exploration technology field, relate to a kind of transient electromagnetic data degree of depth inversion method fast and accurately.
Background technology
Transient electromagnetic method is called for short TEM, is a kind of electromagnetism class method of exploration that is widely used in fields such as resource exploration, engineering geophysics, hydrology exploration in recent years.This method popular depth computing method at present mainly contains skin depth estimation algorithm, equivalent conductive plane method and smoke ring theoretical method etc.; These methods are calculated easy; But result of calculation often has than large deviation with actual geological condition, can not well reflect subsurface geological structure; And the generalized inverse inverting, computational accuracy is very high, but because computing method are complicated, calculated amount is very big, so the difficult realization of inverting, and speed is slower, and computing machine is had relatively high expectations, and is difficult to satisfy the needs of actual engineering
In fact; Though transient electromagnetic method belongs to TDEM; But it and frequency domain electromagnetic methods still have getting in touch of countless ties, in the derivation of many fundamental formulars, have all adopted elder generation in frequency field, to discuss; Convert the means of time domain at last into through Fourier transform, so the maturation method that can use for reference legacy frequencies territory electromagnetic method is explained in the processing of TEM data.
Magnetotelluric method is called for short MT; It is electromagnetic field horizontal component through the observation natural variation; Convert electromagnetic field signal to apparent resistivity curve and phase curve, the resistivity on each stratum and a kind of frequency domain electromagnetic method of one-tenth-value thickness 1/10 are tried to achieve in inverting then, and its degree of depth inversion method is simple; Reliable results; And the cycle of this method with have time delay among the TEM simple relation of equity mutually, can easily the TEM data-switching be become the MT data, utilize the MT inversion method to ask for and meet the architectonic degree of depth.
Summary of the invention
The technical matters that the present invention solved provides a kind of transient electromagnetic data that solve the problem that the inverting degree of depth that exists in the existing transient electromagnetic data processing technique is difficult to match with actual geological condition degree of depth inversion method fast and accurately.For solving above-mentioned technical matters, the technical scheme that the present invention takes:
A kind of transient electromagnetic data are degree of depth inversion method fast and accurately, and its special character is: realize through following steps:
(1), according to the time delay in the cycle in the magnetotelluric method and the transient electromagnetic method of the simple relation of equity mutually
Can be with the approximate actual measurement apparent resistivity curve that converts magnetotelluric method into of the apparent resistivity curve that transient electromagnetic method calculates;
is the cycle in the magnetotelluric method in the formula, and
is the time delay in the transient electromagnetic method;
(2), adopt Bostick inversion method body plan initial model in the magnetotelluric method, get the Bostic degree of depth
Be the resistivity
on the initial inverting degree of depth on the corresponding periodic point
, the respective depth point, can convert by the differential of apparent resistivity (
) curve
(3), adjust each electrically thickness and resistivity of layer successively according to the difference of the apparent resistivity theoretical fitting value of just drilling calculating and measured value.
Step in the above-mentioned inversion method (3) is adjusted each electrically thickness and resistivity of layer through following steps:
A) just drilling the theoretical fitting value
of the apparent resistivity that calculates
inferior model; Thought according to your process of iteration of Gauss's one Saden; Here with the 1st layer to
layer already correction result join the process of finding the solution
, promptly
In two formulas,
is the resistivity correction factor;
is the poor of the measured value of apparent resistivity and the theoretical value of just drilling calculating; if
; Then
individual electrical layer resistivity will suitably increase a bit; I.e.
; if
; Then
individual electrical layer resistivity will suitably reduce a bit, i.e.
;
is the thickness correction factor, handles respectively according to the mutual relationship between
,
,
:
D) according to a), b) and c)
circulated; When the difference of the measured value of apparent resistivity and the theoretical fitting value of just drilling calculating when overall relative error
is less than preassigned number
on all periodic points, promptly
To stop circulation.
Mutual relationship between above-mentioned
,
,
is for when
and
; if
;
; Promptly the suitable attenuate of
individual electrical layer thickness thickens and levels thickness is corresponding; if
;
; Promptly
individual electrical layer thickness suitably thickens, and the corresponding attenuate of levels thickness.
Mutual relationship between above-mentioned
,
,
is for as
time; if
;
; Then this layer thickness is constant; But last layer bottom boundary buried depth all deepens a bit by identical amplitude respectively with interface, following one deck top buried depth, and promptly layer moves down; if
;
; This layer thickness is constant; But last layer bottom boundary buried depth all shoals a bit by identical amplitude respectively with interface, following one deck top buried depth, promptly moves on the layer.
Mutual relationship between above-mentioned
,
,
is for when
and
;
;
; Then
individual electrical layer thickness suitably thickens, and the corresponding attenuate of levels thickness; if
;
; The suitable attenuate of
individual electrical layer thickness thickens and levels thickness is corresponding.
Mutual relationship between above-mentioned
,
,
is for as
time; if
;
; Then this layer thickness is constant; But last layer bottom boundary buried depth all shoals a bit by identical amplitude respectively with interface, following one deck top buried depth, promptly moves on the layer; if
;
; This layer thickness is constant; But last layer bottom boundary buried depth all deepens a bit by identical amplitude respectively with interface, following one deck top buried depth, and promptly layer moves down.
The resistivity correction factor
, the thickness correction factor
, a pre-specified number
value of the relative difference between the measured value more than three orders of magnitude of the number.
Compared with prior art; The inventive method is easy, and no matter easy operating is for gross data or measured data; Good treatment effect is all arranged; Can fast inversion draw and meet the architectonic degree of depth, improve transient electromagnetic method Data Processing speed greatly and explain precision, thereby promote the development significantly and the application of this method and technology.
Description of drawings
Fig. 1 is a general flow chart of the present invention;
Fig. 2 is that theoretical model of the present invention calculates design sketch;
Fig. 3 is that theoretical model of the present invention calculates design sketch;
Fig. 4 is a measured data design sketch of the present invention;
Fig. 5 is a measured data design sketch of the present invention;
Fig. 6 is a measured data design sketch of the present invention;
Fig. 7 is a measured data design sketch of the present invention;
Fig. 8 is a measured data design sketch of the present invention;
Fig. 9 is a measured data design sketch of the present invention.
Embodiment
Below in conjunction with embodiment and Figure of description the present invention is elaborated.
Referring to Fig. 1, the present invention realizes through following steps:
(1), according to the time delay in the cycle in the magnetotelluric method and the transient electromagnetic method of the simple relation of equity mutually
Can be with the approximate actual measurement apparent resistivity curve that converts magnetotelluric method into of the apparent resistivity curve that transient electromagnetic method calculates;
is the cycle in the magnetotelluric method in the formula, and
is the time delay in the transient electromagnetic method;
(2), adopt Bostick inversion method body plan initial model in the magnetotelluric method, get the Bostic degree of depth
Be the resistivity
on the initial inverting degree of depth on the corresponding periodic point
, the respective depth point, can convert by the differential of apparent resistivity (
) curve
(3), adjust each electrically thickness and resistivity of layer successively according to the difference of the apparent resistivity theoretical fitting value of just drilling calculating and measured value.
Step in the above-mentioned inversion method (3) is adjusted each electrically thickness and resistivity of layer through following steps:
A) just drilling the theoretical fitting value
of the apparent resistivity that calculates
inferior model; Thought according to your process of iteration of Gauss's one Saden; Here with the 1st layer to
layer already correction result join the process of finding the solution
, promptly
B) refutation process is pressed the resistivity and the thickness of two formula corrections
layer
In two formulas;
is the resistivity correction factor, gets the less number of an absolute value usually as 0.001;
is the poor of the measured value of apparent resistivity and the theoretical value of just drilling calculating; if
; Then
individual electrical layer resistivity will suitably increase a bit; I.e.
; if
; Then
individual electrical layer resistivity will suitably reduce a bit, i.e.
;
is the thickness correction factor; Usually also get the less number of an absolute value as 0.001, divide 4 kinds of situation to handle respectively according to the mutual relationship between
,
,
:
is when
and
; if
;
; Promptly the suitable attenuate of
individual electrical layer thickness thickens and levels thickness is corresponding; if
;
; Promptly
individual electrical layer thickness suitably thickens, and the corresponding attenuate of levels thickness.
is during as
; if
;
; Then this layer thickness is constant; But last layer bottom boundary buried depth all deepens a bit by identical amplitude respectively with interface, following one deck top buried depth, and promptly layer moves down; if
;
; This layer thickness is constant; But last layer bottom boundary buried depth all shoals a bit by identical amplitude respectively with interface, following one deck top buried depth, promptly moves on the layer.
is when
and
;
;
; Then
individual electrical layer thickness suitably thickens, and the corresponding attenuate of levels thickness; if
;
; The suitable attenuate of
individual electrical layer thickness thickens and levels thickness is corresponding.
is during as
; if
;
; Then this layer thickness is constant; But last layer bottom boundary buried depth all shoals a bit by identical amplitude respectively with interface, following one deck top buried depth, promptly moves on the layer; if
;
; This layer thickness is constant; But last layer bottom boundary buried depth all deepens a bit by identical amplitude respectively with interface, following one deck top buried depth, and promptly layer moves down.
D) according to a), b) and c)
circulated; When the difference of the measured value of apparent resistivity and the theoretical fitting value of just drilling calculating on all periodic points overall relative error
less than a preassigned very little number
, as 0.00001; The time, promptly
To stop circulation.
The resistivity correction factor
, the thickness correction factor
, a pre-specified number
value of the relative difference between the measured value more than three orders of magnitude of the number.
Table 1 is one group of sample data; Can find out; Change by entering resistive formation position, low resistivity zone position along with
; The inverting degree of depth
shows as a sudden change; Meet the transient field signal and in high resistant, propagate the fast characteristics that get;
classic method compute depth
then changes gently, is difficult to reflect this resistive formation position.
Table 1
0.84 | 4.33 | 362.711608887 | 84.5 | 120.539627075 |
0.9425 | 4.858 | 380.533203125 | 100.8125 | 139.2837677 |
1.0575 | 5.451 | 392.518920898 | 348.125 | 157.410522461 |
(
is the inverting degree of depth of the present invention in the table, and
is the classic method compute depth)
Be example explanation effect of the present invention with theoretical model and measured data respectively below:
Fig. 2,3 provides a TEM high resistant model (Fig. 2) and a TEM low-resistance model (Fig. 3) respectively, can obviously find out; Main body in the model is unusual; Inversion result all is superior to conventional result of calculation, and unusual interphase is more accurate, and abnormal thickness also coincide better with model.
Fig. 4 and Fig. 5 are conventional result of a TEM survey line in colliery, the Inner Mongol and inversion result comparison diagram; Several black lines are stratigraphic horizon among the figure; Can find out that zone thickness changes greatly, bigger to the rule influence of original apparent resistivity isoline, coal seam absolute altitude drop reaches three, 400 meters; Vertically going up apparent resistivity value and uprised gradually by low, is consistent with the electrical regularity of distribution of actual geologic horizon.But the whole east of apparent resistivity is higher than western in the horizontal, can not well reflect the developmental state on stratum, and analyzing mainly is by the influence of monoclinal stratum to data.Through finding out that the rule of stratum law of development and apparent resistivity isoline is close on the sectional view after the inversion procedure, the sectional view after the inverting is the situation of illustrative actual formation more.
Fig. 6 and Fig. 7 are conventional result of a TEM survey line in colliery, Shaanxi and inversion result comparison diagram; Can see and compare the conventional processing result; Not only obvious through the section after the inversion procedure to the electrical regularity of distribution reflection on stratum; And given prominence to the unusual of deep formation, and make the space distribution of exceptions area more outstanding, intuitively, can better reflect the low-resistance abnormal morphology characteristic in water guide cracks such as doubtful tomography.
Fig. 8 and Fig. 9 are conventional result of a TEM survey line in colliery, Xinjiang and inversion result comparison diagram, and the position that pentagram indicates among the figure is the actual EXIT POINT in down-hole, on processed conventionally figure as a result; This position, coal seam is the high resistant reaction; And on inversion result figure, then be a unusual border of low-resistance of coming by top board, not only corresponding good with EXIT POINT; And having reflected unusual source, this shows that inversion result tallies with the actual situation more.
Claims (10)
1. transient electromagnetic data degree of depth inversion method fast and accurately,, it is characterized in that: realize through following steps:
(1), according to the time delay in the cycle in the magnetotelluric method and the transient electromagnetic method of the simple relation of equity mutually
Can be with the approximate actual measurement apparent resistivity curve that converts magnetotelluric method into of the apparent resistivity curve that transient electromagnetic method calculates;
is the cycle in the magnetotelluric method in the formula, and
is the time delay in the transient electromagnetic method;
(2), adopt Bostick inversion method body plan initial model in the magnetotelluric method, get the Bostic degree of depth
Be the resistivity
on the initial inverting degree of depth on the corresponding periodic point
, the respective depth point, can convert by the differential of apparent resistivity (
) curve
(3), adjust each electrically thickness and resistivity of layer successively according to the difference of the apparent resistivity theoretical fitting value of just drilling calculating and measured value.
2. transient electromagnetic data according to claim 1 are degree of depth inversion method fast and accurately,, it is characterized in that: step in the described inversion method (3) is adjusted each electrically thickness and resistivity of layer through following steps:
A) just drilling the theoretical fitting value
of the apparent resistivity that calculates
inferior model; Thought according to your process of iteration of Gauss's one Saden; Here with the 1st layer to
layer already correction result join the process of finding the solution
, promptly
In two formulas,
is the resistivity correction factor;
is the poor of the measured value of apparent resistivity and the theoretical value of just drilling calculating; if
; Then
individual electrical layer resistivity will suitably increase a bit; I.e.
; if
; Then
individual electrical layer resistivity will suitably reduce a bit, i.e.
;
is the thickness correction factor, handles respectively according to the mutual relationship between
,
,
:
C) according to a) and b) to each electrically layer circulate, promptly
circulates from 1 to N;
D) according to a), b) and c)
circulated; When the difference of the measured value of apparent resistivity and the theoretical fitting value of just drilling calculating when overall relative error
is less than preassigned number
on all periodic points, promptly
To stop circulation.
3. transient electromagnetic data according to claim 2 are degree of depth inversion method fast and accurately; It is characterized in that: the mutual relationship between described
,
,
is for when
and
; if
;
; Promptly the suitable attenuate of
individual electrical layer thickness thickens and levels thickness is corresponding; if
;
; Promptly
individual electrical layer thickness suitably thickens, and the corresponding attenuate of levels thickness.
4. transient electromagnetic data according to claim 2 are degree of depth inversion method fast and accurately; It is characterized in that: the mutual relationship between described
,
,
is for as
time; if
;
; Then this layer thickness is constant; But last layer bottom boundary buried depth all deepens a bit by identical amplitude respectively with interface, following one deck top buried depth, and promptly layer moves down; if
;
; This layer thickness is constant; But last layer bottom boundary buried depth all shoals a bit by identical amplitude respectively with interface, following one deck top buried depth, promptly moves on the layer.
5. transient electromagnetic data according to claim 2 are degree of depth inversion method fast and accurately; It is characterized in that: the mutual relationship between described
,
,
is for when
and
;
;
; Then
individual electrical layer thickness suitably thickens, and the corresponding attenuate of levels thickness; if
;
; The suitable attenuate of
individual electrical layer thickness thickens and levels thickness is corresponding.
6. transient electromagnetic data according to claim 2 are degree of depth inversion method fast and accurately; It is characterized in that: the mutual relationship between described
,
,
is for as
time; if
;
; Then this layer thickness is constant; But last layer bottom boundary buried depth all shoals a bit by identical amplitude respectively with interface, following one deck top buried depth, promptly moves on the layer; if
;
; This layer thickness is constant; But last layer bottom boundary buried depth all deepens a bit by identical amplitude respectively with interface, following one deck top buried depth, and promptly layer moves down.
7. according to the described transient electromagnetic data of above-mentioned any claim degree of depth inversion method fast and accurately;, it is characterized in that: the value of described resistivity correction factor
, thickness correction factor
, preassigned number
is for survey the number of 3 above orders of magnitude on the value difference relatively.
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