CN103967480A - Slide-and-guide drilling based target-entering situation predicting method - Google Patents

Slide-and-guide drilling based target-entering situation predicting method Download PDF

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CN103967480A
CN103967480A CN201310042515.3A CN201310042515A CN103967480A CN 103967480 A CN103967480 A CN 103967480A CN 201310042515 A CN201310042515 A CN 201310042515A CN 103967480 A CN103967480 A CN 103967480A
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刘修善
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China Petroleum and Chemical Corp
Sinopec Research Institute of Petroleum Engineering
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China Petroleum and Chemical Corp
Sinopec Research Institute of Petroleum Engineering
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Abstract

The invention discloses a slide-and-guide drilling based target-entering situation predicting method. The slide-and-guide drilling based target-entering situation predicting method includes steps of calculating track characteristic parameters of a last survey segment of survey data of the last two survey points (Mn-1, Mn) in a practical drilling track; calculating spatial coordinates of the last survey point (Mn) on the basis of the track monitoring requirement; keeping the track characteristic parameters constant when keeping drilling by the current guide drilling mode and the technical parameters, and calculating well section length of a predicted track to a target area by means of an extrapolation method according to the track characteristic parameters of the last survey segment; calculating spatial coordinates of a target-entering point (e) on the basis of the survey data, the spatial coordinates, the track characteristic parameters and the well section length; judging whether the target-entering point (e) falls within the preset target area or not according to the spatial coordinates of the target-entering point (e). The slide-and-guide drilling based target-entering situation predicting method can accurately predict the target-entering situation of the last well section before drilling to the target, and accordingly, subsequent control schemes and parameter selection can be provided with guiding, and uniformity of the practical drilling track and the designed track can be realized to the greatest extent.

Description

A kind of slide-and-guide drilling well enters target prediction of situation method
Technical field
The present invention relates to petroleum drilling engineering field, relate in particular to a kind of method that enters target prediction of situation under slide-and-guide drilling condition, the method can be used for monitoring and controls well track.
Background technology
In order to meet the exploration and development requirement of petroleum gas, improve oil-gas exploration success rate, exploitation recovery ratio and Oil/gas Well output, " geological design " of every mouthful of Oil/gas Well all clear and definite target position and target area scope.Industry standard requires: designed path should pass through target spot, and the real track that bores should be controlled within the scope of target area.Conventionally, straight well, directional well, extended reach well etc. have 1 target spot, and its target area is horizontal border circular areas; Horizontal well generally has 2 target spots, and its target area is oblique cuboid.As shown in Figure 1.
The degree that departs from target spot for the ease of evaluating well track, has defined a target plane at each target spot place.Conventionally, the target plane of straight well, directional well, extended reach well is horizontal plane, and the target plane of horizontal well is vertical plane.As shown in Figure 1.Obviously, target plane is the indispensable ingredient in target area, and in drilling process, should control the real track that bores and pass within the scope of the target area of target plane.
But in Process of Oil Well Drilling, it is impossible making real brill track and designed path fit like a glove, therefore before brill reaches each target plane, need to predict at any time the real target position that enters that bores track, judge whether to hit, to take in time corresponding drilling technology measure, guarantee " hitting ".
Summary of the invention
The present invention is directed in prior art does not take target area as the well track Predicting Technique of target, lack the anticipation to the situation of hitting, thereby be difficult to ensure the real shortcoming that track must hit of boring, propose a kind of method that enters target prediction of situation under slide-and-guide condition, said method comprising the steps of:
S101, according to latter two measuring point (M in drilling well actual path n-1, M n) deviational survey data calculate the last track characteristic parameter of surveying section, described deviational survey data are well depth, hole angle, azimuth, described track characteristic parameter is described last radius of curvature and the tool face azimuth of surveying section;
S102, require to calculate last measuring point (M based on well track monitoring n) space coordinates;
S103, in the time keeping current steerable drilling mode and technical data to continue to creep into, described track characteristic parameter remains unchanged, and adopts calculation by extrapolation to go out to be drilled into the well segment length of the prediction locus of target area by the described last track characteristic parameter of surveying section;
S104, calculate the space coordinates into target spot (e) based on described deviational survey data and described space coordinates, described track characteristic parameter, described well segment length;
S105, according to described in enter the space coordinates of target spot (e), described in calculating, enter the coordinate of target spot (e) under target coordinate system, enter target spot (e) described in judgement whether to drop in default target area.
According to one embodiment of present invention, calculate described last radius of curvature and the tool face azimuth of surveying section according to following formula:
R n = 180 π × ΔL n - 1 , n ϵ n - 1 , n sin ω n - 1 = sin α n sin Δφ n - 1 , n sin ϵ n - 1 , n
Wherein
ΔL n-1,n=L n-L n-1
Δφ n-1,n=φ nn-1
cosε n-1,n=cosα n-1cosα n+sinα n-1sinα ncosΔφ n-1,n
L nand L n-1respectively the well depth of last two measuring points, α nand α n-1respectively the hole angle of last two measuring points, φ nand φ n-1respectively the azimuth of last two measuring points, ε n-1, nthe described last angle of bend of surveying section, if ε n-1, nbe zero, show that described last survey section, for straightway, does not need to calculate described radius of curvature and tool face azimuth.
According to one embodiment of present invention, calculate the space coordinates of last measuring point according to following formula:
N n = N n - 1 + λ n ( sin α n - 1 cos φ n - 1 + sin α n cos φ n ) E n = E n - 1 + λ n ( sin α n - 1 sin φ n - 1 + sin α n sin φ n ) H n = H n - 1 + λ n ( cos α n - 1 + cos α n )
Wherein,
N nfor the northern coordinate of last measuring point, E nfor the eastern coordinate of last measuring point, H nfor the vertical depth coordinate of last measuring point.
According to one embodiment of present invention, if described last survey section is straightway,
For horizontal target, calculate described measuring point to the well segment length that enters target spot according to following formula:
ΔL n - 1 , e = H t - H n - 1 cos α n - 1
For vertical target, calculate described measuring point to the well segment length that enters target spot according to following formula:
ΔL n - 1 , e = ( N t - N n - 1 ) cos φ z + ( E t - E n - 1 ) sin φ z sin α n - 1 cos ( φ z - φ n - 1 ) .
According to one embodiment of present invention, if described last survey section is not straightway, i.e. ε n-1, nnon-vanishing,
Calculate described measuring point to the well segment length that enters target spot according to following formula:
ΔL n - 1 , e = π 180 R n ϵ n - 1 , e
Wherein
For horizontal target
a = T 33 b = T 13 c = H t - H n - 1 R n - b
For vertical target
a = T 31 cos φ z + T 32 sin φ z b = T 11 cos φ z + T 12 sin φ z c = N t - N n - 1 R n cos φ z + E t - E n - 1 R n sin φ z - b
Wherein
T 11 = cos α n - 1 cos φ n - 1 cos ω n - 1 - sin φ n - 1 sin ω n - 1 T 12 = cos α n - 1 sin φ n - 1 cos ω n - 1 + cos φ n - 1 sin ω n - 1 T 13 = - sin α n - 1 cos ω n - 1
T 31 = cos α n - 1 cos φ n - 1 T 32 = cos α n - 1 sin φ n - 1 T 33 = - sin α n - 1
According to one embodiment of present invention, according to the space coordinates that enters target spot (e) described in following formula calculating:
N e = N n - 1 + ΔN n - 1 , e E e = E n - 1 + ΔE n - 1 , e H e = H n - 1 + ΔH n - 1 , e
Wherein
Work as ε n-1, n=0 o'clock
ΔN n - 1 , e = ΔL n - 1 , e sin α n - 1 cos φ n - 1 ΔE n - 1 , e = ΔL n - 1 , e sin α n - 1 sin φ n - 1 ΔH n - 1 , e = ΔL n - 1 , e cos α n - 1 .
Work as ε n-1, nwhen ≠ O
ΔN n - 1 , e = R n [ T 11 ( 1 - cos ϵ n - 1 , e ) + T 31 sin ϵ n - 1 , e ] ΔE n - 1 , e = R n [ T 12 ( 1 - cos ϵ n - 1 , e ) + T 32 sin ϵ n - 1 , e ] ΔH n - 1 , e = R n [ T 13 ( 1 - cos ϵ n - 1 , e ) + T 33 sin ϵ n - 1 , e ] .
According to one embodiment of present invention, whether drop in default target area according to entering target spot (e) described in following steps judgement:
S201, the coordinate system t-xyz of foundation taking target spot (t) as initial point, wherein, for horizontal target, x axle energized north, y axle points to east, and z axle vertical is downward; And for vertical target, x axle vertical upwards, y axle level to the right, the normal direction that z axle is target plane;
Described in S202, calculating, enter the coordinate figure of target spot (e) under described coordinate system t-xyz,
For horizontal target x e = N e - N t y e = E e - E t
For vertical target x e = - ( H e - H t ) y e = - ( N e - N t ) sin φ z + ( E e - E t ) cos φ z
S203, for circular target area, if x e 2+ y e 2≤ r t 2
For rectangle target area, if and
, enter target spot (e) and fall within target area wherein r tfor the target area radius of circular target area; h t, w tfor target area height and the width of rectangle target area.
According to one embodiment of present invention, further comprising the steps of:
Described in S204, calculating, enter hole angle and the azimuth of target spot (e)
cox α e = cos α n - 1 cos ϵ n - 1 , e - sin α n - 1 cos ω n - 1 sin ϵ n - 1 , e tan φ e = T 32 cos ϵ n - 1 , e + T 12 sin ϵ n - 1 , e T 31 cos ϵ n - 1 , e + T 11 sin ϵ n - 1 , e
S205, enter target spot (e) position and well direction (being hole angle and azimuth) based on calculated, measurable enter target situation, instruct hole trajectory control technique.
Adopt the present invention can to bore reach target before the later target situation that enters of most end well section carry out Accurate Prediction, thereby the selection that can be follow-up hole trajectory control scheme and drilling technology parameter provides guidance, guarantees to meet the wellbore quality requirement such as hit.
Other features and advantages of the present invention will be set forth in the following description, and, partly from manual, become apparent, or understand by implementing the present invention.Object of the present invention and other advantages can be realized and be obtained by specifically noted structure in manual, claims and accompanying drawing.
Brief description of the drawings
Fig. 1 (a) is the schematic diagram of typical directional well target area in prior art, and Fig. 1 (b) is the schematic diagram of typical horizontal well target area in prior art;
Fig. 2 is the basic block diagram of slide-and-guide drilling tool;
Fig. 3 is technology principle schematic of the present invention;
Fig. 4 be according to an embodiment of the invention enter target situation schematic diagram;
Fig. 5 is the method process chart that enters according to one embodiment of present invention target prediction of situation;
Fig. 6 differentiates the method flow diagram that whether falls into target area into target spot e.
Detailed description of the invention
Describe embodiments of the present invention in detail below with reference to drawings and Examples, to the present invention, how application technology means solve technical problem whereby, and the implementation procedure of reaching technique effect can fully understand and implement according to this.It should be noted that, only otherwise form conflict, each feature in each embodiment and each embodiment in the present invention can mutually combine, and the technical scheme forming is all within protection scope of the present invention.
In addition, can in the computer system such as one group of computer executable instructions, carry out in the step shown in the flow chart of accompanying drawing, and, although there is shown logical order in flow process, but in some cases, can carry out shown or described step with the order being different from herein.
Early stage slide-and-guide drilling tool is mainly " bent sub+straight motor (screw rod, turbine etc.) " combination, is widely used at present curved housing motor (single curved, two in the same way curved, incorgruous two curved etc.).The principal character of slide-and-guide drilling well is: drill string does not rotate, and drives power transmission shaft by down-hole motor, thereby drives bit, and along with drill bit fractured rock forms well, drill string glides and advances along well.As shown in Figure 2, wherein 1 instruction MWD instrument, 2 instruction orientation survey sensors (point position), 3 instruction drilling string stabilizers, 4 instruction down-hole motors, 5 instruction near-bit stabilizers, 6 represent driving-shaft assembly, 7 instruction drill bits.
Because bent sub or curved housing motor make the position of drill bit and point to and all departed from tool axis, so produced bit side force, make instrument there is deflecting ability.
The main feature of slide-and-guide drilling well is the high and good stability of build angle rate, and the well track getting out, close to space circular arc, meets the minimum curvature model of well track or claims space circular arc model.The characteristic parameter of this model is hole curvature and the tool face azimuth being determined by instrument build angle rate.
Although it is a lot of to affect the factor of well track, under concrete drilling technology and technical data condition, have reason to think that well track has specific Changing Pattern.For slide-and-guide drilling technology, this specific Changing Pattern be exactly well track be the circular arc in Space Oblique plane, its hole curvature or radius of curvature remain constant, and its placing attitude can be determined by the tool face azimuth at this circular arc initial point place.Therefore, bore and reach target plane according to current well track Changing Pattern, the determined space circular arc of latter two measuring point extends to into target spot exactly, i.e. latter two measuring point M n-1and M n, enter target spot e and be positioned on same circular arc.As shown in Figure 3.Like this, just can utilize the data of latter two measuring point to predict position and the well direction into target spot, and then can instruct the drilling technology scheme of formulating in site operation process.
According to the feature of drilling technology, no matter be to bore and reach first target spot or bore and reach next target spot from a target spot from well head, its designed path is often made up of several well sections, to meet increasing hole angle, hold angle, drop angle and increase orientation, steady orientation, subtract the technological requirements such as orientation.Predict into target spot from latter two measuring point because the present invention adopts a space circular arc, thus be mainly used in boring reach most end well section before target later enter target prediction of situation, as shown in Figure 4.
The present invention realizes real prediction of boring track under above-mentioned slide-and-guide drilling condition.
Embodiment mono-:
As shown in Figure 5, wherein shown the process chart according to the inventive method.
In step S101, according to latter two measuring point (M in drilling well actual path n-1, M n) deviational survey data calculate the track characteristic parameter of this survey section, deviational survey data are well depth, hole angle, azimuth, track characteristic parameter is radius of curvature and the tool face azimuth of this survey section;
In drilling process, utilize as shown in Figure 2 be arranged on the real track that bores of the instrument measurement while drillings such as MWD in drill string, can obtain a series of measuring point M i(i=1,2 ..., well depth L n) i, hole angle α i, azimuth φ ietc. data.
In one embodiment, that employing is latter two measuring point M n-1, M ndata predict, according to following formula Calculation of curvature radius and tool face azimuth:
R n = 180 π × ΔL n - 1 , n ϵ n - 1 , n sin ω n - 1 = sin α n sin Δφ n - 1 , n sin ϵ n - 1 , n - - - ( 1 )
Wherein
ΔL n-1,n=L n-L n-1(2)
Δφ n-1,n=φ nn-1(3)
Cos ε n-1, n=cos α n-1cos α n+ sin α n-1sin α ncos Δ φ n-1, n(4) L nand L n-1respectively the well depth of last two measuring points, α nand α n-1respectively the hole angle of last two measuring points, φ nand φ n-1respectively the azimuth of last two measuring points, ε n-1, Nthe last angle of bend of surveying section, if ε n-1, Nbe zero, show that described survey section, for straightway, does not need to calculate described radius of curvature and tool face azimuth.
In step S102, require to calculate last measuring point M based on track monitoring nspace coordinates;
According to the present invention, in one embodiment, calculate measuring point M according to following formula nspace coordinates:
N n = N n - 1 + λ n ( sin α n - 1 cos φ n - 1 + sin α n cos φ n ) E n = E n - 1 + λ n ( sin α n - 1 sin φ n - 1 + sin α n sin φ n ) H n = H n - 1 + λ n ( cos α n - 1 + cos α n ) - - - ( 5 )
N nfor the northern coordinate of last measuring point, E nfor the eastern coordinate of last measuring point, H nfor the vertical depth coordinate (vertical downward direction coordinate) of last measuring point.
In step S103, in the time keeping current steerable drilling mode and technical data to continue to creep into, track characteristic parameter remains unchanged, so adopt calculation by extrapolation to be drilled into the well segment length of the prediction locus of target area by the last track characteristic parameter of surveying section.
For example, for simplicity, calculate from measuring point M n-1to the well segment length Δ L that enters target spot e n-1, e.
Below illustrate under different situations, how to calculate.
If the survey section that latter two measuring point forms is straightway,
For horizontal target, calculate measuring point M according to following formula n-1well segment length to entering target spot e:
ΔL n - 1 , e = H t - H n - 1 cos α n - 1 - - - ( 7 )
For vertical target, calculate measuring point M according to following formula n-1well segment length to entering target spot e:
ΔL n - 1 , e = ( N t - N n - 1 ) cos φ z + ( E t - E n - 1 ) sin φ z sin α n - 1 cos ( φ z - φ n - 1 ) - - - ( 8 )
If the survey section that last two measuring points form is not straightway, i.e. ε n-1, Nnon-vanishing, first calculate from measuring point M n-1to the angle of bend Δ ε that enters target spot e n-1, e:
Wherein
For horizontal target
a = T 33 b = T 13 c = H t - H n - 1 R n - b - - - ( 10 )
For vertical target
a = T 31 cos φ z + T 32 sin φ z b = T 11 cos φ z + T 12 sin φ z c = N t - N n - 1 R n cos φ z + E t - E n - 1 R n sin φ z - b - - - ( 11 )
T 11 = cos α n - 1 cos φ n - 1 cos ω n - 1 - sin φ n - 1 sin ω n - 1 T 12 = cos α n - 1 sin φ n - 1 cos ω n - 1 + cos φ n - 1 sin ω n - 1 T 13 = - sin α n - 1 cos ω n - 1 - - - ( 12 )
T 31 = cos α n - 1 cos φ n - 1 T 32 = cos α n - 1 sin φ n - 1 T 33 = - sin α n - 1 - - - ( 13 )
Then calculate measuring point M according to following formula n-1to the well segment length Δ L that enters target spot e n-1, e:
ΔL n - 1 , e = π 180 R n ϵ n - 1 , e - - - ( 14 )
In step S104, described in calculating based on described measuring point data (comprising deviational survey data and space coordinates), track characteristic parameter, well segment length, enter the space coordinates of target spot e.
In one embodiment, the space coordinates that enters target spot can be calculated according to following formula:
N e = N n - 1 + ΔN n - 1 , e E e = E n - 1 + ΔE n - 1 , e H e = H n - 1 + ΔH n - 1 , e - - - ( 15 )
Wherein
Work as ε n-1, nwhen=O
ΔN n - 1 , e = ΔL n - 1 , e sin α n - 1 cos φ n - 1 ΔE n - 1 , e = ΔL n - 1 , e sin α n - 1 sin φ n - 1 ΔH n - 1 , e = ΔL n - 1 , e cos α n - 1 - - - ( 16 )
Work as ε n-1nwhen ≠ O
ΔN n - 1 , e = R n [ T 11 ( 1 - cos ϵ n - 1 , e ) + T 31 sin ϵ n - 1 , e ] ΔE n - 1 , e = R n [ T 12 ( 1 - cos ϵ n - 1 , e ) + T 32 sin ϵ n - 1 , e ] ΔH n - 1 , e = R n [ T 13 ( 1 - cos ϵ n - 1 , e ) + T 33 sin ϵ n - 1 , e ] - - - ( 17 )
Finally, in S105, judge according to the space coordinates that enters target spot e calculating whether target spot e drops in default target area.
In one embodiment, can judge whether target spot e drops in default target area according to following steps:
As shown in Figure 6, in step S201, set up the coordinate system t-xyz taking target spot t as initial point, wherein, for horizontal target, x axle energized north, y axle points to east, and z axle vertical is downward; And for vertical target, x axle vertical upwards, y axle level to the right, the normal direction that z axle is target plane;
Step S202, calculates the coordinate figure of target spot e under described coordinate system t-xyz
For horizontal target x e = N e - N t y e = E e - E t - - - ( 18 )
In step S203, for circular target area, if x e 2+ Y e 2≤ r t 2(20)
For rectangle target area, if | x e | ≤ h t 2 And | y e | ≤ w t 2 - - - ( 21 )
Show that target spot e falls within target area.Wherein, r tfor the target area radius of circular target area; h t, w tfor target area height and the width of rectangle target area.
In step S204, calculate hole angle and azimuth into target spot e
cox α e = cos α n - 1 cos ϵ n - 1 , e - sin α n - 1 cos ω n - 1 sin ϵ n - 1 , e tan φ e = T 32 cos ϵ n - 1 , e + T 12 sin ϵ n - 1 , e T 31 cos ϵ n - 1 , e + T 11 sin ϵ n - 1 , e - - - ( 22 )
In step S205, enter target spot e position and well direction (being hole angle and azimuth) based on calculated, measurable enter target situation, instruct hole trajectory control technique.
Embodiment bis-:
The following node data according to certain horizontal well design track makes a concrete analysis of according to above-mentioned technological principle how to enter target prediction of situation.
The node data of this horizontal well design track is in table 1, and wherein the coordinate of first target spot t and target area parameter are: N t=0m, E t=285m, H t=2000m and φ z=90 °, w t=20m, h t=6m.In wellbore construction process, when entering after landing well section, adopt slide-and-guide drilling technology to enter target, be drilled into well depth L 136when=2056m (measuring point numbering n=137, n-1=136), hole angle α 136=58 °, azimuth φ 136=93 °, northern coordinate N 136=-8.51m, eastern coordinate E 136=204.04m, vertical depth H 136=1974.40m.Continue to creep into L 137when=2065m, (measuring point numbering 137), records α 137=61.2 °, φ 137=92 °.
Certain horizontal well design track node data of table 1
Can if keep current drilling technology and technical data, prediction hit according to technical scheme of the present invention?
This embodiment comprises the following steps:
The well track that slide-and-guide drilling well gets out more meets minimum curvature model or claims space circular arc model, and its track characteristic parameter is radius of curvature (or hole curvature) and tool face azimuth.Survey section [2056m, 2065m] for end, with formula (1) ~ (4) Calculation of curvature radius R 137with the initial tool face angle ω that surveys section 136:
ΔL 137=9m,Δα 137=3.2°,Δφ 137=-1°
ε 137=cos -1[cos58°cos61.2°+sin58°sin61.2°cos(-1°)]=3.31°
With formula (5) ~ (6), calculate last measuring point M 137space coordinates:
With formula (9) ~ (14), calculate from measuring point M 136to the well segment length Δ L that enters target spot e 136, e:
For vertical target
So
Therefore, as well depth L e=L 136+ Δ L 136, ewhen=2056+85.63=2141.63m, bore and reach target plane.
With formula (15) ~ (17) and (22), calculate space coordinates and rarget direction into target spot:
N e = 8.51 + 1.84 = - 6.67 m E e = 204.04 + 80.96 = 285.00 m H e = 1974.40 + 24.33 = 1998.73 m
With formula (19), calculate the coordinate figure of target spot under target coordinate system:
Differentiated by formula (21), enter target spot e and be positioned at target area scope, enter target hole angle and design load substantially identical; Have larger deviation although enter target azimuth and design load, its rarget direction is conducive to well track and effectively extends in target zone, as shown in Figure 4.Therefore, consider into target position and rarget direction, this well can keep existing drilling technology and technical data to continue to creep into.
Along with the growth to raising recovery ratio and well yield demand, the quantity of horizontal well is increasing, and particularly, in the face of the exploration and development upsurge of unconventional petroleum resources, the share of horizontal well is just at rapid growth, and therefore the present invention has broad application prospects.
Although the disclosed embodiment of the present invention as above, the embodiment that described content just adopts for the ease of understanding the present invention, not in order to limit the present invention.Technician in any the technical field of the invention; do not departing under the prerequisite of the disclosed spirit and scope of the present invention; can do any amendment and variation what implement in form and in details; but scope of patent protection of the present invention, still must be as the criterion with the scope that appending claims was defined.

Claims (8)

  1. Based on slide-and-guide drilling condition enter a target prediction of situation method, it is characterized in that, comprise the following steps:
    S101, according to latter two measuring point (M in drilling well actual path n-1, M n) deviational survey data calculate the last track characteristic parameter of surveying section, described deviational survey data are well depth, hole angle, azimuth, described track characteristic parameter is described last radius of curvature and the tool face azimuth of surveying section;
    S102, require to calculate last measuring point (M based on well track monitoring n) space coordinates;
    S103, in the time keeping current steerable drilling mode and technical data to continue to creep into, described track characteristic parameter remains unchanged, and adopts calculation by extrapolation to go out to be drilled into the well segment length of the prediction locus of target area by the described last track characteristic parameter of surveying section;
    S104, calculate the space coordinates into target spot (e) based on described deviational survey data and described space coordinates, described track characteristic parameter, described well segment length;
    S105, according to described in enter the space coordinates of target spot (e), described in calculating, enter the coordinate of target spot (e) under target coordinate system, enter target spot (e) described in judgement whether to drop in default target area.
  2. 2. the method for claim 1, is characterized in that, calculates described last radius of curvature and the tool face azimuth of surveying section according to following formula:
    R n = 180 π × ΔL n - 1 , n ϵ n - 1 , n sin ω n - 1 = sin α n sin Δφ n - 1 , n sin ϵ n - 1 , n
    Wherein
    ΔL n-1,n=L n-L n-1
    Δφ n-1,n=φ nn-1
    cosε n-1,n=cosα n-1cosα n+sinα n-1sinα ncosΔφ n-1,n
    L nand L n-1respectively the well depth of last two measuring points, α nand α n-1respectively the hole angle of last two measuring points, φ nand φ n-1respectively the azimuth of last two measuring points, ε n-1, nthe described last angle of bend of surveying section, if ε n-1, nbe zero, show that described last survey section, for straightway, does not need to calculate described radius of curvature and tool face azimuth.
  3. 3. method as claimed in claim 2, is characterized in that, calculates the space coordinates of last measuring point according to following formula:
    N n = N n - 1 + λ n ( sin α n - 1 cos φ n - 1 + sin α n cos φ n ) E n = E n - 1 + λ n ( sin α n - 1 sin φ n - 1 + sin α n sin φ n ) H n = H n - 1 + λ n ( cos α n - 1 + cos α n )
    N nfor the northern coordinate of last measuring point, E nfor the eastern coordinate of last measuring point, H nfor vertical depth coordinate or the downward coordinate of vertical of last measuring point.
  4. 4. method as claimed in claim 3, is characterized in that, if described last survey section is straightway,
    For horizontal target, calculate described measuring point to the well segment length that enters target spot according to following formula:
    ΔL n - 1 , e = H t - H n - 1 cos α n - 1
    For vertical target, calculate described measuring point to the well segment length that enters target spot according to following formula:
    ΔL n - 1 , e = ( N t - N n - 1 ) cos φ z + ( E t - E n - 1 ) sin φ z sin α n - 1 cos ( φ z - φ n - 1 ) .
  5. 5. method as claimed in claim 4, is characterized in that, if described last survey section is not straightway, i.e. ε n-1, nnon-vanishing,
    Calculate described measuring point to the well segment length that enters target spot according to following formula:
    ΔL n - 1 , e = π 180 R n ϵ n - 1 , e
    Wherein
    For horizontal target
    a = T 33 b = T 13 c = H t - H n - 1 R n - b
    For vertical target
    a = T 31 cos φ z + T 32 sin φ z b = T 11 cos φ z + T 12 sin φ z c = N t - N n - 1 R n cos φ z + E t - E n - 1 R n sin φ z - b
    Wherein
    T 11 = cos α n - 1 cos φ n - 1 cos ω n - 1 - sin φ n - 1 sin ω n - 1 T 12 = cos α n - 1 sin φ n - 1 cos ω n - 1 + cos φ n - 1 sin ω n - 1 T 13 = - sin α n - 1 cos ω n - 1
    T 31 = cos α n - 1 cos φ n - 1 T 32 = cos α n - 1 sin φ n - 1 T 33 = - sin α n - 1 .
  6. 6. method as claimed in claim 5, is characterized in that, enters the space coordinates of target spot (e) according to following formula described in calculating:
    N e = N n - 1 + ΔN n - 1 , e E e = E n - 1 + ΔE n - 1 , e H e = H n - 1 + ΔH n - 1 , e
    Wherein
    Work as ε n-1, n=0 o'clock
    ΔN n - 1 , e = ΔL n - 1 , e sin α n - 1 cos φ n - 1 ΔE n - 1 , e = ΔL n - 1 , e sin α n - 1 sin φ n - 1 ΔH n - 1 , e = ΔL n - 1 , e cos α n - 1
    Work as ε n-1, n≠ 0 o'clock
    ΔN n - 1 , e = R n [ T 11 ( 1 - cos ϵ n - 1 , e ) + T 31 sin ϵ n - 1 , e ] ΔE n - 1 , e = R n [ T 12 ( 1 - cos ϵ n - 1 , e ) + T 32 sin ϵ n - 1 , e ] ΔH n - 1 , e = R n [ T 13 ( 1 - cos ϵ n - 1 , e ) + T 33 sin ϵ n - 1 , e ] .
  7. 7. whether method as claimed in claim 6, is characterized in that, drop in default target area according to entering target spot (e) described in following steps judgement:
    S201, the coordinate system t-xyz of foundation taking target spot (t) as initial point, wherein, for horizontal target, x axle energized north, y axle points to east, and z axle vertical is downward; And for vertical target, x axle vertical upwards, y axle level to the right, the normal direction that z axle is target plane;
    Described in S202, calculating, enter the coordinate figure of target spot (e) under described coordinate system t-xyz,
    For horizontal target x e = N e - N t y e = E e - E t
    For vertical target x e = - ( H e - H t ) y e = - ( N e - N t ) sin φ z + ( E e - E t ) cos φ z
    S203, for circular target area, if x e 2+ y e 2≤ r t 2
    For rectangle target area, if and
    , enter target spot (e) and fall within target area, wherein r tfor the target area radius of circular target area; h t, w tfor target area height and the width of rectangle target area.
  8. 8. method as claimed in claim 7, is characterized in that, further comprising the steps of
    Described in S204, calculating, enter hole angle and the azimuth of target spot (e)
    cox α e = cos α n - 1 cos ϵ n - 1 , e - sin α n - 1 cos ω n - 1 sin ϵ n - 1 , e tan φ e = T 32 cos ϵ n - 1 , e + T 12 sin ϵ n - 1 , e T 31 cos ϵ n - 1 , e + T 11 sin ϵ n - 1 , e
    S205, enter target spot (e) position, hole angle and azimuth based on calculated, measurable enter target situation, instruct hole trajectory control technique.
CN201310042515.3A 2013-02-01 2013-02-01 Slide-and-guide drilling based target-entering situation predicting method Pending CN103967480A (en)

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