CN109763812A - Quantitative analysis method for mechanical stability of hydrate mining based on Mohr-Coulomb theory - Google Patents
Quantitative analysis method for mechanical stability of hydrate mining based on Mohr-Coulomb theory Download PDFInfo
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Abstract
The present invention disclose it is a kind of based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method, comprising: (1) numerical simulation calculation obtains the stress distribution situation of reservoir in hydrate recovery process；(2) quantitative indices of mechanics coefficient of stability s are established based on mole-coulomb Theory of Shear Strength；(3) stress distribution obtained in step (1) is updated in mechanics coefficient of stability s, obtains the distribution of the mechanics coefficient of stability；(4) distribution based on step (3) the mechanics coefficient of stability obtained is come quantitative analysis reservoir mechanical stability.The method overcome traditional mole-coulomb Theory of Shear Strength in hydrate exploitation mechanical stability analysis can only qualitative analysis deficiency, utilize the concept quantitative description mechanical stability of the coefficient of stability, and it can stability within the scope of quantitative description full-fledged research, using more convenient intuitive, the analysis result of quantification is more accurate, practical reference with higher and application value.
Description
Technical field
The present invention relates to ocean gas hydrate resource exploitation mechanical stability analysis technical fields, and in particular to a kind of
Based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method.
Background technique
Gas Hydrate Resources are huge, and it is a kind of efficient clean energy resource that energy density is high.The water of international and national
Close object Mining Test to show: mechanical stability is an important factor for restricting hydrate exploitation.When hydrate decompression exploitation, on the one hand
Since the reduction of pore pressure causes the increase of deposit shear stress, so that the load of deposit increases；On the other hand, hydrate
Play cementation in deposit, after decomposition of hydrate, the intensity of deposit can be reduced.When the load of deposit is more than deposit
Intensity when, unstable failure may occur for hydrate reservoir；Simultaneously as pit shaft acts on, the stress distribution around the borehole wall is more
The problem of concentrating, borehole well instability or casing failure be also possible that in recovery process.Therefore, the reservoir in hydrate recovery process
Stability whether is able to maintain with the borehole wall, how to evaluate hydrate exploitation pit shaft and the stability of reservoir needs to carry out deep grind
Study carefully.
The either scope for belonging to mechanical stability analysis of borehole wall stability or reservoir stability, the think of of core
Want the load that the borehole wall or reservoir is obtained by calculation, the intensity of load and the borehole wall or reservoir is compared, when intensity is greater than
Then illustrate the borehole wall when load or reservoir is that mechanics is stable；When load is greater than intensity, then show that the borehole wall or reservoir can lose
Surely.However, load or intensity are different and different with stress state since the mechanical state of the borehole wall or reservoir is more complicated,
It is thus impossible to utilize the simple relationship relatively to analyze load and intensity.Currently as the most commonly used is mole-coulomb intensity reasons
By.Specifically, the effective stress of hydrate reservoir or the borehole wall in recovery process is obtained at any time by the means of numerical simulation
Between variation, draw the Stress Moore Circle of reservoir point, Stress Moore Circle is to represent load.By Stress Moore Circle and the borehole wall or storage
The shear-resistant intensity of layer compares.If Mohr's circle of stress in shear-resistant intensity hereinafter, if show the borehole wall or reservoir is stable
's.
" stability that South Sea Shenhu sea area gas hydrates are depressured reservoir in recovery process " (Periodical of Gas,
The 4th phase of volume 38) it gives in a text using a mole method for coulomb strength theory analysis hydrate exploitation reservoir stability, it should
Method seeks the distribution of reservoir effective stress, then chooses the characteristic point in reservoir, draws the stress path of characteristic point, and with it is anti-
Intensity contrast is cut, the stability of reservoir is judged by the positional relationship of stress path and shearing strength.However, above-mentioned be based on rubbing
The method of discrimination of the reservoir stability of that-coulomb strength theory is only qualitatively to analyze, and have the defects that two aspects: 1. this is fixed
Property method can only provide in reservoir the stress state that certain is put and whether reach shearing strength, i.e., to reservoir, whether stability can only be provided
It is or no answer, and the stability of reservoir can not be quantified, the specific targets of " degree of stability " of reservoir can not be provided；2. making
It needing to realize by the method for mapping with this method, mapping each time can only choose the stress of certain some characteristic point to judge,
The analysis of stability can not be carried out to entire reservoir area.
Summary of the invention
Technical problem to be solved by the present invention lies in be directed to current hydrate mechanical stability analysis method without standard measure
Change defect, propose it is a kind of based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method, this method is not only
" degree of stability " index can be provided, can also realize well with the stability of the borehole wall when exploitation of quantitative analysis hydrate or reservoir
Stability analysis in wall and reservoir entire area.
The present invention is that the following technical solution is employed and realizes, it is a kind of based on mole-hydrate of Coulomb block effect exploits storage
Layer stability quantitative analysis method, comprising the following steps:
Step A, the stress distribution situation of reservoir or the borehole wall in hydrate recovery process is obtained by numerical simulation calculation；
Step B, the quantitative indices of mechanics coefficient of stability s are established based on mole-coulomb Theory of Shear Strength；
Step C, the stress distribution being calculated in step A is updated in mechanics coefficient of stability s calculation formula, obtains power
Learn the distribution of the coefficient of stability；
Step D, the distribution based on the step C mechanics coefficient of stability obtained is come quantitative analysis mechanical stability.
Further, the step A specifically includes the following steps:
(1) according to ocean hydrate geological researching data, the geological model of hydrate horizontal wells is established；
Wherein, the geological researching data includes that the depth of water of erect-position, hydrate layer thickness, overlying strata where hydrate are thick
Degree, underlying bed thickness, hydrate concentration, reservoir porosity, reservoir permeability, reservoir elasticity modulus, reservoir cohesive strength and storage
Information, the geological models established such as layer internal friction angle include overlying strata, underlying bed, hydrate layer, pit shaft and reservoir outer boundary；
(2) geological model established is subjected to tetrahedral grid division, mesh refinement is carried out around horizontal well pit shaft,
It obtains numerical value and calculates the grid system needed；
(3) establish consider decomposition of hydrate, air water two phase fluid flow, heat transfer and hydrate sediment solid deformation mathematical modulo
Type, the relevant information for being included by geological researching data substitutes into, and mathematical model finite element method is discrete on grid system,
Solid deformation on each grid is calculated by numerical value to be displaced；
(4) the reservoir direct stress and shearing stress on each grid are calculated based on the solid deformation displacement being calculated；
(5) using on grid obtained reservoir direct stress and shearing stress calculate the maximum principal stress and most of each grid
Minor principal stress.
Further, the step B is realized especially by following manner:
(1) according in geological researching data reservoir cohesive strength and internal friction angle the library of reservoir is established under τ-σ coordinate system
Human relations shear-resistant intensity:
Wherein, τfIndicate shearing strength；σ is the normal stress on sliding failure face；C is reservoir cohesive strength；For deposit
Internal friction angle.
(2) maximum principal stress according to obtained in step A and minimum principal stress draw Mohr's circle of stress；
The stress state of deposit point can be indicated with following formula:
In formula, σ1For maximum principal stress；σ3For minimum principal stress, τ is shear stress；
(3) center of circle of Mohr's circle of stress is calculated to the distance O of shear-resistant intensity1B；
O1B is a littleTo coulomb shear-resistant intensityThe distance between:
(4) the radius O of Mohr's circle of stress is calculated1A:
(5) the Mohr's circle of stress center of circle is calculated to the distance between coulomb intensity line O1B and Mohr's circle of stress radius O1The ratio of A
Value, is defined as mechanics coefficient of stability index for the ratio, it may be assumed that
If mechanics coefficient of stability s is greater than 1, show that reservoir or the borehole wall are in stable state, and mechanics coefficient of stability s is got over
Greatly, reservoir is more stable；If mechanics coefficient of stability s less than 1, shows that reservoir is unstable, mechanics coefficient of stability s is smaller, reservoir
It is more unstable.The physical significance of the mechanics coefficient of stability is the relative distance between Mohr's circle of stress and coulomb shear-resistant intensity, s < 1
Show that Mohr's circle of stress and coulomb shear-resistant intensity are tangent, reservoir is in instability status at this time；S > 1 shows that Mohr's circle of stress is remote
From coulomb shear-resistant intensity, and s is bigger, and Mohr's circle of stress is remoter apart from coulomb shear-resistant intensity, and reservoir is more stable.
Further, the step D the following steps are included:
(1) equivalence of isopleth of the mechanics coefficient of stability less than 1 and the mechanics coefficient of stability between 1-5 in reservoir is made
Line；The region that isopleth of the mechanics coefficient of stability less than 1 surrounds is unstable failure region, and s is smaller, shows mechanics unstability
Degree is higher；The region that isopleth of the mechanics coefficient of stability between 1-5 surrounds is that the high risk zone s of unstability is smaller, unstability
Risk it is bigger；I.e. with the degree of stability of the size quantitative response reservoir of mechanics coefficient of stability s value and the borehole wall.
(2) volume for calculating unstable failure region changes with time relationship, calculates the volume of the high risk zone of unstability
Change with time relationship, as shown in Figure 4；
(3) when the volume in reservoir unstable failure region is gradually increased at any time, illustrate that reservoir is unstable；When reservoir unstability is broken
Error area volume is gradually reduced at any time, illustrate reservoir be it is stable, in Fig. 4, region of the mechanics coefficient of stability s less than 1 is at any time
Between be gradually reduced, illustrate that reservoir is stable.
Compared with prior art, the advantages and positive effects of the present invention are:
The hydrate that this programme is proposed exploits mechanical stability quantitative analysis method, and it is anti-to overcome traditional mole-coulomb
Cut strength theory hydrate exploitation mechanical stability analysis in can only qualitative analysis deficiency, utilize the general of the mechanics coefficient of stability
Read quantitative description mechanical stability, and can stability within the scope of quantitative description full-fledged research.This method use is more square
Just intuitive, the analysis result of quantification is more accurate.
Detailed description of the invention
Fig. 1 is hydrate horizontal wells GEOLOGICAL MODELS OF PETROLEUM RESERVOIR schematic diagram described in the embodiment of the present invention；
Fig. 2 is hydrate of embodiment of the present invention horizontal wells reservoir model grid schematic diagram；
Fig. 3 is coulomb of embodiment of the present invention shear-resistant intensity and Mohr's circle of stress schematic diagram；
Fig. 4 is Domain Volume versus time curve of mechanics of the embodiment of the present invention coefficient of stability less than 1；
Wherein: 1, overlying strata；2, hydrate layer；3, underlying bed；4, horizontal well pit shaft；5, coulomb shear-resistant intensity；6, it rubs
That stress circle.
Specific embodiment
In order to which the above objects, features and advantages of the present invention is more clearly understood, with reference to the accompanying drawing and implement
The present invention will be further described for example.It should be noted that in the absence of conflict, in embodiments herein and embodiment
Feature can be combined with each other.
The present embodiment disclose it is a kind of based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method,
Suitable for a variety of mining methods such as hydrate vertical well, horizontal well, the stability of the borehole wall, stratum can analyze, below with level
The present embodiment is described in detail for well mining method:
Based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method, comprising the following steps:
Step A, the stress distribution situation of reservoir or the borehole wall in hydrate recovery process is obtained by numerical simulation calculation, had
Body implementation are as follows:
(1) according to ocean hydrate geological researching data, the geological model of hydrate horizontal wells is established；
Wherein, the geological researching data includes that the depth of water of erect-position, hydrate layer thickness, overlying strata where hydrate are thick
Degree, underlying bed thickness, hydrate concentration, reservoir porosity, reservoir permeability, reservoir elasticity modulus, reservoir cohesive strength and storage
Information, the geological models established such as layer internal friction angle include outside overlying strata 1, underlying bed 3, hydrate layer 2, pit shaft 4 and reservoir
Boundary, as shown in Figure 1, overlying strata 1 with a thickness of 135 meters, underlying bed 3 with a thickness of 35 meters, hydrate layer 2 is with a thickness of 35 meters, pit shaft 4
For horizontal wellbore, length is 500 meters, and reservoir outer boundary is having a size of 1000 meters × 300 meters × 205 meters；
(2) geological model established is subjected to tetrahedral grid division, grid is carried out around horizontal well pit shaft 4 and is added
It is close, it obtains numerical value and calculates the grid system needed；As shown in Fig. 2, the nodal point number of grid is 8154, number of meshes 38204；
(3) establish consider decomposition of hydrate, air water two phase fluid flow, heat transfer and hydrate sediment solid deformation mathematical modulo
Type, the relevant information for being included by geological researching data substitutes into, and mathematical model finite element method is discrete on grid system,
Solid deformation on each grid is calculated by numerical value to be displaced；
(4) the reservoir direct stress and shearing stress on each grid are calculated based on the solid deformation displacement being calculated；
(5) using on grid obtained reservoir direct stress and shearing stress calculate the maximum principal stress and most of each grid
Minor principal stress.
Step B, the quantitative indices that the mechanics coefficient of stability is established based on mole-coulomb Theory of Shear Strength, are specifically included:
(1) according in geological researching data reservoir cohesive strength and internal friction angle the library of reservoir is established under τ-σ coordinate system
Human relations shear-resistant intensity, as shown in figure 3, its calculation formula is:
Wherein, τfIndicate shearing strength；σ is the normal stress on sliding failure face；C is reservoir cohesive strength；For deposit
Internal friction angle.
(2) maximum principal stress according to obtained in step A and minimum principal stress draw Mohr's circle of stress；
The stress state of deposit point can be indicated with following formula:
In formula, σ1For maximum principal stress；σ3For minimum principal stress；τ is shear stress, which is one in τ-σ coordinate system
Circle, referred to as Mohr's circle of stress, as shown in Figure 3；
(3) center of circle of Mohr's circle of stress is calculated to the distance O of shear-resistant intensity1B；
O1B is a littleTo straight lineThe distance between, it is public using the distance of point to straight line
Formula, calculation formula are as follows:
(4) the radius O of Mohr's circle of stress is calculated1A:
(5) the Mohr's circle of stress center of circle is calculated to the distance between coulomb intensity line O1B and Mohr's circle of stress radius O1The ratio of A
Value, is defined as mechanics coefficient of stability index, i.e. the mechanics coefficient of stability for the ratio are as follows:
If mechanics coefficient of stability s is greater than 1, show that reservoir is in stable state, and mechanics coefficient of stability s is bigger, stores up
Layer is more stable；If mechanics coefficient of stability s less than 1, shows that reservoir is unstable, mechanics coefficient of stability s is smaller, and reservoir is more unstable
It is fixed.The physical significance of the mechanics coefficient of stability is the relative distance between Mohr's circle of stress and coulomb shear-resistant intensity, and s < 1 shows
Mohr's circle of stress and coulomb shear-resistant intensity are tangent, and reservoir is in instability status at this time；S > 1 shows Mohr's circle of stress far from coulomb
Shear-resistant intensity, and s is bigger, Mohr's circle of stress is remoter apart from coulomb shear-resistant intensity, and reservoir is more stable.
Step C, that maximum principal stress and minimum principal stress on each grid being calculated in step A are updated to mechanics is steady
Determine to obtain the mechanics coefficient of stability on each grid in coefficient s calculation formula (5)；
Step D, the distribution based on the mechanics coefficient of stability is come quantitative analysis mechanical stability, specific steps are as follows:
(1) equivalence of isopleth of the mechanics coefficient of stability less than 1 and the mechanics coefficient of stability between 1-5 in reservoir is made
Line；The region that isopleth of the mechanics coefficient of stability less than 1 surrounds is unstable failure region, and the mechanics coefficient of stability is between 1-5
The region that surrounds of isopleth be unstability high risk zone；
(2) volume for calculating unstable failure region changes with time relationship, calculates the volume of the high risk zone of unstability
Change with time relationship, as shown in Figure 4；
(3) when the volume in reservoir unstable failure region is gradually increased at any time, illustrate that reservoir is unstable；When reservoir unstability is broken
Error area volume is gradually reduced at any time, illustrate reservoir be it is stable, in Fig. 4, region of the mechanics coefficient of stability s less than 1 is at any time
Between be gradually reduced, illustrate that reservoir is stable.
The above described is only a preferred embodiment of the present invention, being not that the invention has other forms of limitations, appoint
What those skilled in the art changed or be modified as possibly also with the technology contents of the disclosure above equivalent variations etc.
It imitates embodiment and is applied to other fields, but without departing from the technical solutions of the present invention, according to the technical essence of the invention
Any simple modification, equivalent variations and remodeling to the above embodiments, still fall within the protection scope of technical solution of the present invention.
Claims (4)
1. based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method, which is characterized in that including following
Step:
Step A, numerical simulation calculation obtains the stress distribution situation of reservoir in hydrate recovery process；
Step B, the quantitative indices of mechanics coefficient of stability s are established based on mole-coulomb Theory of Shear Strength；
Step C, stress distribution obtained in step A is updated in mechanics coefficient of stability s, obtains point of the mechanics coefficient of stability
Cloth；
Step D, the distribution based on the step C mechanics coefficient of stability obtained is come quantitative analysis reservoir mechanical stability.
2. it is according to claim 1 based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method,
It is characterized by: stress distribution situation is obtained especially by following manner in the step A:
(1) according to ocean hydrate geological researching data, the geological model of hydrate horizontal wells is established；
Wherein, the geological researching data include the depth of water of erect-position where hydrate, hydrate layer thickness, overlying strata thickness, under
It rubs in volt thickness degree, hydrate concentration, reservoir porosity, reservoir permeability, reservoir elasticity modulus, reservoir cohesive strength and reservoir
Wiping information, the geological models established such as angle includes overlying strata, underlying bed, hydrate layer, pit shaft and reservoir outer boundary；
(2) geological model established is subjected to tetrahedral grid division, mesh refinement is carried out around horizontal well pit shaft, is obtained
Numerical value calculates the grid system needed；
(3) establish consider decomposition of hydrate, air water two phase fluid flow, heat transfer and hydrate sediment solid deformation mathematical model,
The relevant information for being included by geological researching data substitutes into, and mathematical model finite element method is discrete on grid system, leads to
It crosses numerical value and solid deformation displacement on each grid is calculated；
(4) the reservoir direct stress and shearing stress on each grid are calculated based on the solid deformation displacement being calculated；
(5) using on grid obtained reservoir direct stress and shearing stress calculate maximum principal stress and the minimum master of each grid
Stress.
3. it is according to claim 2 based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method,
It is characterized by: the step B includes:
(1) according in geological researching data reservoir cohesive strength and internal friction angle established under τ-σ coordinate system reservoir coulomb it is anti-
Cut intensity line:
Wherein, τfIndicate shearing strength；σ is the normal stress on sliding failure face；C is reservoir cohesive strength；To rub in deposit
Wipe angle.
(2) maximum principal stress according to obtained in step A and minimum principal stress draw Mohr's circle of stress；
The stress state of deposit point can be indicated with following formula:
In formula, σ1For maximum principal stress；σ3For minimum principal stress, τ is shear stress；
(3) center of circle of Mohr's circle of stress is calculated to the distance O of shear-resistant intensity1B；
O1B is a littleTo coulomb shear-resistant intensityThe distance between:
(4) the radius O of Mohr's circle of stress is calculated1A:
(5) the Mohr's circle of stress center of circle is calculated to the distance between coulomb intensity line O1B and Mohr's circle of stress radius O1The ratio of A, will
The ratio is defined as mechanics coefficient of stability index, it may be assumed that
If mechanics coefficient of stability s is greater than 1, show that reservoir is in stable state, and mechanics coefficient of stability s is bigger, reservoir is got over
Stablize；If mechanics coefficient of stability s less than 1, shows that reservoir is unstable, mechanics coefficient of stability s is smaller, and reservoir is more unstable.
4. it is according to claim 3 based on mole-hydrate of Coulomb block effect exploits mechanical stability quantitative analysis method,
It is characterized by: the step D specifically includes the following steps:
(1) isopleth of isopleth of the mechanics coefficient of stability less than 1 and the mechanics coefficient of stability between 1-5 in reservoir is made；Power
Learning the region that isopleth of the coefficient of stability less than 1 surrounds is unstable failure region, equivalence of the mechanics coefficient of stability between 1-5
The region that line surrounds is the high risk zone of unstability；
(2) volume for calculating unstable failure region changes with time relationship, calculates the volume of the high risk zone of unstability at any time
Between variation relation；
(3) when the volume in reservoir unstable failure region is gradually increased at any time, illustrate that reservoir is unstable；When reservoir unstable failure area
Domain volume is gradually reduced at any time, illustrates that reservoir is stable.
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