CN104234699A - Analytical method for expressing stress changes of horizontal wellbore wall - Google Patents
Analytical method for expressing stress changes of horizontal wellbore wall Download PDFInfo
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- CN104234699A CN104234699A CN201310240773.2A CN201310240773A CN104234699A CN 104234699 A CN104234699 A CN 104234699A CN 201310240773 A CN201310240773 A CN 201310240773A CN 104234699 A CN104234699 A CN 104234699A
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Abstract
The invention relates to an analytical method for expressing stress changes of a horizontal wellbore wall and belongs to the field of petroleum logging engineering. Changing of tangential stress of any point on the wall of a horizontal wellbore along with changing of the direction of the horizontal wellbore is expressed by means of graphical representation, magnitude and change law of the tangential stress borne by the wall of the horizontal wellbore is vividly expressed by means of planar layout, and the direction of an inducing joint of the wall of the horizontal wellbore is explained accordingly. The analytical method is applicable to the research in the industrial fields, such as underground horizontal tunnels and coal mines; distribution of the tangential stress of the wall of the horizontal wellbore is expressed by means of graphical representation; the analytical method is also applicable to the expression of distribution of radial stress of the wall of the horizontal wellbore.
Description
Technical field
The present invention relates to the analytical method of expression pit shaft borehole wall STRESS VARIATION, belong to oil well logging engineering field, Horizontal Well wall stress analyzes the research with hole stability.
Background technology
In vertical boreholes, attractive joint is grown with geostatic stress closely related; Utilize electric imaging logging data can identify the occurrence of drilling well attractive joint, can be determined the direction of horizontal major principal stress by the trend of drilling well attractive joint, Using statistics frequency orientation diagram or statistic histogram represent.In horizontal hole, electric imaging logging identification drilling well attractive joint can be utilized equally, but the trend of the drilling well attractive joint in horizontal hole can not indicate the direction of stratum major principal stress, the people such as Ni little Ming in 2009 have studied the relation of geostatic stress and multi-branched horizontal well wall stability in I and II class coal, borehole wall stressing conditions in horizontal well is studied, this research mainly focuses on the research of borehole wall stability in colliery, give the mathematical expression formula of different azimuth pit shaft borehole wall shear stress, but in icon way the expression of the change that borehole wall any point shear stress in horizontal well occurs along with the change in pit shaft direction is not also found, this invention is exactly filled up this blank.
Summary of the invention
The object of the invention is: the analytical method that expression pit shaft borehole wall STRESS VARIATION is provided, the change moved towards along with pit shaft by any point shear stress on the borehole wall in diagramatic way expression well and the change occurred, to have expressed in horizontal hole size and the Changing Pattern of suffered shear stress on the borehole wall clearly by the mode of planar distribution figure, being used for the interpretation level well borehole wall produces the direction of attractive joint.
The technical solution used in the present invention is: the analytical method of expression pit shaft borehole wall STRESS VARIATION, containing following steps:
In horizontal well eye, suffered by borehole wall any point, shear stress is:
σ
θ=σ
v(1+cos2θ)+(σ
hcosβ+σ
Hsinβ)(1-cos2θ) （1）
In formula, σ
θfor shear stress, σ
vfor vertical stress, σ
hhorizontal minimum principal stress, σ
hfor horizontal major principal stress, θ is the angle of borehole wall any point and horizontal minimum principal stress, and β is horizontal hole and major principal stress angle;
Analysis level well and horizontal major principal stress angle respectively from 0 °, 10 °, 20 ° ..., 90 °, the distribution situation of 0 ° to 360 ° upper each point shear stress on the borehole wall; Vertical direction represents vertical stress orientation, and horizontal direction one is the angle β (change between 0 ~ 90 ° is only discussed, and other is analogized) representing pit shaft and horizontal direction of maximal stress; The cross section (borehole wall) being perpendicular to borehole axis of each ring representative, on the borehole wall, the size of suffered stress represents by gray scale, and color is more shallow, and the size of power is less, and color is darker, and the size of power is larger;
The analytical method of expression pit shaft borehole wall STRESS VARIATION, containing following steps: coordinate axes is converted into a polar axis shaft, its scale is 0 ° to 360 °, θ angle in representative (1) formula, in figure, any point is to the β angle in the line of initial point and angle i.e. (1) formula of horizontal direction, represents the trend of horizontal hole, and in figure, the gray scale of any point represents the size of certain any the suffered stress in certain horizontal well on the borehole wall, it is larger that color represents stress more deeply, and color is more shallow, and to represent stress less.
Analyze the well borehole wall tangential stress distribution situation that have expressed when well and major principal stress are different azimuth, can learn from diagram: when pit shaft orientation is from 0 ° to 90 °, the suffered shear stress of the both sides borehole wall (namely θ angle is 0 ° and 180 °) of horizontal well is always maximum and equal, and shear stress suffered by top and bottom (namely θ angle is 0 ° and 180 °) changes greatly along with the difference of Borehole Azimuth.
Beneficial effect of the present invention:
The present invention is applicable to underground horizontal tunnel, the research in the industry fields such as colliery; The present invention is the distribution situation that have expressed horizontal hole borehole wall shear stress by illustrated method, and the present invention is equally also applicable to the distribution situation of expression well borehole wall radial stresses.
Accompanying drawing explanation
When considered in conjunction with the accompanying drawings, by referring to detailed description below, more completely can understand the present invention better and easily learn wherein many adjoint advantages, but accompanying drawing described herein is used to provide a further understanding of the present invention, form a part of the present invention, schematic description and description of the present invention, for explaining the present invention, does not form inappropriate limitation of the present invention, as schemed wherein:
Fig. 1 is the suffered tangential stress distribution figure of horizontal wellbore (orientation is from 0 ° to the 90 °) borehole wall (0 ° to 360 °).
Fig. 2 is the suffered tangential stress distribution figure of horizontal wellbore (orientation is from 0 ° to the 90 °) borehole wall (0 ° to 360 °).
Detailed description of the invention
Embodiment 1:
The analytical method of expression pit shaft borehole wall STRESS VARIATION, containing following steps:
In step 1, horizontal hole, suffered by borehole wall any point, shear stress is:
σ
θ=σ
v(1+cos2θ)+(σ
hcosβ+σ
Hsinβ)(1-cos2θ) （1）
In formula, σ
θfor shear stress, σ
vfor vertical stress, σ
hhorizontal minimum principal stress, σ
hfor horizontal major principal stress, θ is the angle of borehole wall any point and horizontal minimum principal stress, and β is horizontal hole and major principal stress angle;
(1) formula is expressed by the mode of accompanying drawing 1.The well borehole wall tangential stress distribution figure that accompanying drawing 1 is well and major principal stress when being different azimuth, horizontal hole and horizontal major principal stress angle respectively from 0 °, 10 °, 20 ° ..., 90 °, the distribution situation of 0 ° to 360 ° upper each point shear stress on the borehole wall; Vertical direction represents vertical stress orientation, and horizontal direction one is the angle β (change between 0 ~ 90 ° is only discussed, and other is analogized) representing pit shaft and horizontal direction of maximal stress; The cross section (borehole wall) being perpendicular to borehole axis of each ring representative, on the borehole wall, the size of suffered stress represents by gray scale, and color is more shallow, and the size of power is less, and color is darker, and the size of power is larger;
(1) formula is expressed by the mode of accompanying drawing 2.The suitable polar axis shaft of coordinate axes in figure, its scale is 0 ° to 360 °, θ angle in representative (1) formula, in figure, any point is to the β angle in the line of initial point and angle i.e. (1) formula of horizontal direction, represent the trend of horizontal hole, in figure, the gray scale of any point represents the size of certain a bit suffered stress in certain horizontal well on the borehole wall, and it is larger that color represents stress more deeply, and color is more shallow, and to represent stress less.
Well borehole wall tangential stress distribution situation when well and major principal stress are different azimuth is have expressed by the mode of Fig. 1, can learn from diagram: when pit shaft orientation is from 0 ° to 90 °, the suffered shear stress of the both sides borehole wall (namely θ angle is 0 ° and 180 °) of horizontal well is always maximum and equal, and shear stress suffered by top and bottom (namely θ angle is 0 ° and 180 °) changes greatly along with the difference of Borehole Azimuth.
Well borehole wall tangential stress distribution situation when well and major principal stress are different azimuth is have expressed equally by the mode of Fig. 2, can learn from diagram: when pit shaft orientation is from 0 ° to 90 ° (namely β angle is from 0 ° to 90 °), the suffered shear stress of the both sides borehole wall (namely θ angle is 0 ° and 180 °) of horizontal well is always maximum and equal, and shear stress suffered by top and bottom (namely θ angle is 90 ° and 270 °) changes greatly along with the difference of Borehole Azimuth.
Embodiment 2:
For example: work as σ
v=50MP
a, σ
h=20MP
a, σ
h=40MP
atime, along with β is from 0 ° to 90 °, and θ is from 0 ° to 360 °, can obtain as next group data according to (1) formula:
Data in table are plotted the form of Fig. 1 and Fig. 2 respectively.
As mentioned above, embodiments of the invention are explained, but as long as do not depart from inventive point of the present invention in fact and effect can have a lot of distortion, this will be readily apparent to persons skilled in the art.Therefore, such variation is also all included within protection scope of the present invention.
Claims (3)
1. the analytical method of an expression pit shaft borehole wall STRESS VARIATION, it is characterized in that containing following steps: the change moved towards along with pit shaft by any point shear stress on the borehole wall in diagramatic way expression well and the change occurred, to have expressed in horizontal hole size and the Changing Pattern of suffered shear stress on the borehole wall clearly by the mode of planar distribution figure, being used for the interpretation level well borehole wall produces the direction of attractive joint.
2. the analytical method of a kind of expression pit shaft borehole wall STRESS VARIATION according to claim 1, is characterized in that containing following steps:
In horizontal well eye, suffered by borehole wall any point, shear stress is:
σ
θ=σ
v(1+cos2θ)+(σ
hcosβ+σ
Hsinβ)(1-cos2θ) （1）
In formula, σ
θfor shear stress, σ
vfor vertical stress, σ
hhorizontal minimum principal stress, σ
hfor horizontal major principal stress, θ is the angle of borehole wall any point and horizontal minimum principal stress, and β is horizontal hole and major principal stress angle;
Analysis level well and horizontal major principal stress angle respectively from 0 °, 10 °, 20 ° ..., 90 °, the distribution situation of 0 ° to 360 ° upper each point shear stress on the borehole wall; Vertical direction represents vertical stress orientation, and horizontal direction one is the angle β (change between 0 ~ 90 ° is only discussed, and other is analogized) representing pit shaft and horizontal direction of maximal stress; The cross section (borehole wall) being perpendicular to borehole axis of each ring representative, on the borehole wall, the size of suffered stress represents by gray scale, and color is more shallow, and the size of power is less, and color is darker, and the size of power is larger.
3. the analytical method of a kind of expression pit shaft borehole wall STRESS VARIATION according to claim 1, is characterized in that containing following steps:
Coordinate axes is converted into a polar axis shaft, its scale is 0 ° to 360 °, θ angle in representative (1) formula, in figure, any point is to the β angle in the line of initial point and angle i.e. (1) formula of horizontal direction, represent the trend of horizontal hole, in figure, the gray scale of any point represents the size of certain a bit suffered stress in certain horizontal well on the borehole wall, and it is larger that color represents stress more deeply, and color is more shallow, and to represent stress less.
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|---|---|---|---|
| CN201310240773.2A CN104234699A (en) | 2013-06-18 | 2013-06-18 | Analytical method for expressing stress changes of horizontal wellbore wall |
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Citations (5)
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|---|---|---|---|---|
| US20100020642A1 (en) * | 2008-07-24 | 2010-01-28 | Schlumberger Technology Corporation | Estimating formation stresses using radial profiles of three shear moduli |
| CN102182453A (en) * | 2011-03-03 | 2011-09-14 | 中国石油集团钻井工程技术研究院 | Borehole wall sloughing analysis method |
| US20120163123A1 (en) * | 2010-12-27 | 2012-06-28 | Baker Hughes Incorporated | Stress in formations from azimuthal variation in acoustic and other properties |
| CN102606126A (en) * | 2012-03-27 | 2012-07-25 | 东方宝麟科技发展(北京)有限公司 | Non-planar network fracturing control method for fractured reservoir |
| CN102996104A (en) * | 2012-11-30 | 2013-03-27 | 中国石油天然气股份有限公司 | Horizontal well fixed-face perforating method and device |
-
2013
- 2013-06-18 CN CN201310240773.2A patent/CN104234699A/en active Pending
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20100020642A1 (en) * | 2008-07-24 | 2010-01-28 | Schlumberger Technology Corporation | Estimating formation stresses using radial profiles of three shear moduli |
| US20120163123A1 (en) * | 2010-12-27 | 2012-06-28 | Baker Hughes Incorporated | Stress in formations from azimuthal variation in acoustic and other properties |
| CN102182453A (en) * | 2011-03-03 | 2011-09-14 | 中国石油集团钻井工程技术研究院 | Borehole wall sloughing analysis method |
| CN102606126A (en) * | 2012-03-27 | 2012-07-25 | 东方宝麟科技发展(北京)有限公司 | Non-planar network fracturing control method for fractured reservoir |
| CN102996104A (en) * | 2012-11-30 | 2013-03-27 | 中国石油天然气股份有限公司 | Horizontal well fixed-face perforating method and device |
Non-Patent Citations (1)
| Title |
|---|
| 倪小明等: "Ⅰ与Ⅱ类煤中地应力与多分支水平井壁稳定性的关系", 《煤田地质与勘探》 * |
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Application publication date: 20141224 |
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