CN105840185A - Stable electric field horizontal well fracture crack monitoring method - Google Patents
Stable electric field horizontal well fracture crack monitoring method Download PDFInfo
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- CN105840185A CN105840185A CN201610196964.7A CN201610196964A CN105840185A CN 105840185 A CN105840185 A CN 105840185A CN 201610196964 A CN201610196964 A CN 201610196964A CN 105840185 A CN105840185 A CN 105840185A
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- 238000000034 method Methods 0.000 title claims abstract description 39
- 238000012544 monitoring process Methods 0.000 title claims abstract description 35
- 230000005684 electric field Effects 0.000 title claims abstract description 21
- 230000008569 process Effects 0.000 claims abstract description 15
- 238000010276 construction Methods 0.000 claims abstract description 6
- 238000012360 testing method Methods 0.000 claims description 16
- 238000005259 measurement Methods 0.000 claims description 12
- 238000005336 cracking Methods 0.000 claims description 10
- 239000012530 fluid Substances 0.000 claims description 9
- 230000005611 electricity Effects 0.000 claims description 8
- 238000003825 pressing Methods 0.000 claims description 4
- 240000002853 Nelumbo nucifera Species 0.000 claims description 3
- 235000006508 Nelumbo nucifera Nutrition 0.000 claims description 3
- 235000006510 Nelumbo pentapetala Nutrition 0.000 claims description 3
- 239000000203 mixture Substances 0.000 claims description 3
- 230000008901 benefit Effects 0.000 abstract description 2
- 239000007788 liquid Substances 0.000 abstract description 2
- 208000010392 Bone Fractures Diseases 0.000 description 38
- 206010017076 Fracture Diseases 0.000 description 38
- 239000004020 conductor Substances 0.000 description 12
- 238000011161 development Methods 0.000 description 11
- 230000000977 initiatory effect Effects 0.000 description 5
- 230000008859 change Effects 0.000 description 3
- 238000006243 chemical reaction Methods 0.000 description 3
- 238000013461 design Methods 0.000 description 3
- 238000009826 distribution Methods 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 239000003792 electrolyte Substances 0.000 description 2
- 210000002706 plastid Anatomy 0.000 description 2
- 238000004313 potentiometry Methods 0.000 description 2
- 239000011435 rock Substances 0.000 description 2
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 2
- 239000012141 concentrate Substances 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 239000000686 essence Substances 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 230000004044 response Effects 0.000 description 1
- 239000007858 starting material Substances 0.000 description 1
- 238000006467 substitution reaction Methods 0.000 description 1
Classifications
-
- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- E21B47/00—Survey of boreholes or wells
- E21B47/10—Locating fluid leaks, intrusions or movements
- E21B47/113—Locating fluid leaks, intrusions or movements using electrical indications; using light radiations
-
- E—FIXED CONSTRUCTIONS
- E21—EARTH OR ROCK DRILLING; MINING
- E21B—EARTH OR ROCK DRILLING; OBTAINING OIL, GAS, WATER, SOLUBLE OR MELTABLE MATERIALS OR A SLURRY OF MINERALS FROM WELLS
- E21B43/00—Methods or apparatus for obtaining oil, gas, water, soluble or meltable materials or a slurry of minerals from wells
- E21B43/25—Methods for stimulating production
- E21B43/26—Methods for stimulating production by forming crevices or fractures
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- Life Sciences & Earth Sciences (AREA)
- Engineering & Computer Science (AREA)
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- Mining & Mineral Resources (AREA)
- Physics & Mathematics (AREA)
- Environmental & Geological Engineering (AREA)
- Fluid Mechanics (AREA)
- General Life Sciences & Earth Sciences (AREA)
- Geochemistry & Mineralogy (AREA)
- Geophysics (AREA)
- Geophysics And Detection Of Objects (AREA)
- Investigating Or Analyzing Materials By The Use Of Electric Means (AREA)
Abstract
The invention provides a stable electric field horizontal well fracture crack monitoring method comprising the following steps: 1, using a charging system to charge positive charges into a power supply shaft A and facture liquid in a fracture construction well, and charging negative charges into a power supply shaft B with a sleeve, wherein the B is more than1000 m away from the A; 2, using a reception system to receive point location information of a shaft potential measure electrode and ground measure electrode system, wherein the shaft potential measure electrode is the measure electrode of the fracture crack front end potential induced by a signal line and the power supply shaft A. The advantages are that the method can real time monitor a horizontal well fracture crack growth process, can utilize the shaft-ground observation system to measure potential data, can explain the horizontal well and vertical shaft fracture crack growth whole process, and can accurately determine a crack initial point and initial time; in the fracturing process, the method can contentiously explain the crack location and length changes according to the monitoring data, and can display the crack growth whole process.
Description
Technical field
The invention belongs to wellfracturing Crack Monitoring method and technology field, especially relate to a kind of consistent electric field horizontal well pressure
Split Crack Monitoring method.
Background technology
It is required for fracture orientation monitoring after the producing well in oil field substantially pressure break, and deep gas well is also required to carry out now
Induced fracture monitoring, vertical well fracture Crack Monitoring mainly has potentiometry, micro seismic method and dipmeter method the most both at home and abroad.Along with surveying
Spy development difficulty strengthens, especially for the production capacity and shale gas exploitation, fractured horizontal well and the volume fracturing skill that improve low-permeability oilfield
Art quickly grows, and the most each horizontal well is desirable that and carries out pressing crack construction, meanwhile, it will be clear that know horizontal segment pressure break
Fracture intensity, produces offer data foundation for follow-up oil field.
At present, the development of fractured horizontal well fracture monitoring technique falls behind, mainly the micro seismic method monitoring method by development abroad,
And cost is high, field conduct difficulty, Monitoring Data point compares and dissipates, and explanation results is undesirable, it is impossible to distinguish single crack and net
Shape crack.
Straight well can be monitored by potentiometry and dipmeter method, but all can not monitoring direct to horizontal well, and now this
Two kinds of methods and technology utilize the most merely ground configuration measuring point to monitor, it is impossible to down-hole and ground are monitored simultaneously, and Monitoring Data does not has
There is real-time, it is impossible to judge to have monitored knick point and crack initiation time, could can only monitor when fracturing fracture develops into certain scale
To data, and the data monitored all have multi-solution.
Summary of the invention
In view of this, it is contemplated that propose a kind of consistent electric field fractured horizontal well Crack Monitoring method, can be on-the-spot real-time
Level monitoring well and vertical well fracture fracture development process, can monitor fracturing fracture and play knick point position and crack initiation time, can be in pressure break
The monitoring of each moment fracturing fracture orientation, length and width.
For reaching above-mentioned purpose, the technical scheme is that and be achieved in that:
A kind of consistent electric field fractured horizontal well Crack Monitoring method, comprises the steps:
Step 1, is filled with positive charge, to distance by charging system to the power supply pit shaft A in pressing crack construction well and fracturing fluid
Power supply pit shaft A is the power supply negatively charged lotus of pit shaft B with sleeve pipe of more than 1000m；
Step 2, receives pit shaft potential-measuring electrode and the some position information of ground survey electrode system by receiving system；Its
Described in pit shaft potential-measuring electrode be by holding wire and power supply pit shaft A introduce fracturing fracture before terminal potential measurement electricity
Pole, described ground survey electrode system is laid in earth's surface；
When well logging is fractured horizontal well, described ground survey electrode system refer to by with horizontal segment pit shaft track to be measured
The test system of some measuring points composition of the parallel laying of floor projection；
When, when well logging is vertical well fracture, described ground survey electrode system refers to centered by straight well wellbore centre, with
The measuring point that annulus or several rays with wellbore centre as starting point are laid.
When, when well logging is Deviated Well Fracturing, described ground survey electrode system refers to throw on ground with pressure break shooting point position
Centered by shadow, the measuring point laid with annulus or several rays with wellbore centre as starting point；
Step 3, can calculate the fracture orientation in each pressure break moment, length and width according to the measured value that step 2 obtains.
Further, in step 3, pressure break length LtBeing calculated by each moment potential difference, computing formula is:In formula: M is test point, UMARefer between ground a certain measuring point M and power supply pit shaft A
Measurement potential difference, LtFor the growth length in t crack, h is the test point vertical distance away from crack front；
Using the measurement potential difference between ground measuring point and power supply pit shaft A as vertical coordinate, to be parallel to horizontal well pit shaft water
The measuring point period of flat section floor projection is the test curve figure that abscissa makes some measuring points, and the peak value of the curve in each moment is even
Line just specifies the growth direction in crack；The spike width of curve i.e. the width of chicken-wire cracking.
Further, described charging system produces the square wave direct current electricity of burning voltage, gives power supply pit shaft A and power supply pit shaft B
Charging, forms stable charging electric field in power supply process.
Further, when, when well logging is fractured horizontal well, needing to lay more than 2 surveys line, the several evidence of measuring point of laying
Fractured well segment length and perforation number of clusters design；The general distance of measuring point spacing is between 2-10m.
Further, when when well logging is vertical well fracture or Deviated Well Fracturing, the angle of general two measuring points be 7.5 ° or
15 °, the most each annulus is arranged 48 measuring points or 24 measuring points.
Further, the measuring point spacing of described pit shaft potential-measuring electrode and ground survey electrode system can be
Away from, it is also possible to it is Unequal distance.
Relative to prior art, present invention have the advantage that
(1) energy real time monitoring fractured horizontal well fracture development process of the present invention, can utilize well ground observation system to measure
Potential data, interpretation level well and vertical well fracture fracture development overall process, can accurately judge fracture initiation point and crack initiation moment,
In fracturing process, according to Monitoring Data, constantly explain fracture orientation and the change of length, show fracture development overall process；
(2) present invention can explain monolete, multiple cracking and region chicken-wire cracking, solve monitored over time oilfield horizontal well and
The problem of vertical well fracture fracture development process, can instruct pressure break, on-the-spot adjustment fracturing parameter, it is ensured that pressure break obtains with live assistance
Good effect, monitoring result also can be applied in capability forecasting after oil field is pressed.
Accompanying drawing explanation
The accompanying drawing of the part constituting the present invention is used for providing a further understanding of the present invention, and the present invention's is schematic real
Execute example and illustrate for explaining the present invention, being not intended that inappropriate limitation of the present invention.In the accompanying drawings:
Fig. 1 is the consistent electric field test philosophy figure of the present invention；
Fig. 2 is horizontal well Hydrographic General Line figure of the present invention；
Fig. 3 is straight well of the present invention and inclined shaft Hydrographic General Line figure；
Fig. 4 is the horizontal well first paragraph measured signal curve of one embodiment of the invention；
Fig. 5 is the horizontal well second segment measured signal curve of one embodiment of the invention.
In figure, A, B represent power supply pit shaft A and power supply pit shaft B respectively,
In Fig. 21,2,3,4,5 are the sequence number of staged fracturing of horizontal well.
Detailed description of the invention
It should be noted that in the case of not conflicting, the embodiment in the present invention and the feature in embodiment can phases
Combination mutually.
The principle of the inventive method is: when being charged conductive ground plastid, if the resistivity of conductive ground plastid is the least
When shoulder-bed resistivity (SBR) (< 200 times), we just can regard perfact conductor as it approx.When perfact conductor is positioned at general conduction
Time in medium, after on it, any point powers (or claiming " charging "), electric current, just throughout whole perfact conductor, is then perpendicular to lead
Surface flows to surrounding medium.When electric current flows through in perfact conductor, not producing potential drop, conductor inner potential is the most equal, therefore
It is isoelectric level body also known as perfact conductor.The charging electric field of perfact conductor is unrelated with the position of charge point, is only determined by charging current
Size, the Electrical distribution situation of the shape of charge conductor, occurrence, size, position and surrounding medium.
When we carry out fracturing work, for these solution rocks the most about with electrolyte of fracturing fluid, electricity
Resistance rate the lowest (＜ 10000 times), can regard perfact conductor as.So, if charged to these electrolyte, and charging electric field is observed
Distribution, just can infer the Electrical distribution situation of entirely fracturing fluid and rock about accordingly, thus explain that pressure break is split
Seam advances developmental state.Therefore, the present invention utilizes the good conductor of fracturing process to form constant charge electric field, before can monitoring crack
End and the potential change on ground, thus explain fracture development process.
Describe the present invention below with reference to the accompanying drawings and in conjunction with the embodiments in detail.
A kind of consistent electric field fractured horizontal well Crack Monitoring method, comprises the steps:
Step 1, is filled with positive charge, to distance by charging system to the power supply pit shaft A in pressing crack construction well and fracturing fluid
Power supply pit shaft A is the power supply negatively charged lotus of pit shaft B with sleeve pipe of more than 1000m；
Described charging system produces the square wave direct current electricity of burning voltage, gives power supply pit shaft A and power supply pit shaft B charging, power supply
During form stable charging electric field, wherein charging pit shaft A is construction pit shaft, really utilizes sleeve pipe and the pressure break of pit shaft
Liquid, is introduced directly into fracturing fracture front end electric field；
Step 2, receives pit shaft potential-measuring electrode and the some position information of ground survey electrode system by receiving system, from
And monitor the potential change of crack front and ground, explain fracture development process；Wherein said pit shaft potential-measuring electrode is logical
Crossing holding wire and the measurement electrode of terminal potential before fracturing fracture that power supply pit shaft A introduces, described ground survey electrode system is laid
In earth's surface；
When well logging is fractured horizontal well, described ground survey electrode system refer to by with horizontal segment pit shaft track to be measured
The test system of some measuring points composition of the parallel laying of floor projection, as in figure 2 it is shown, according to on-the-spot test needs, need to lay 2
The above survey line of bar, the measuring point of laying is several to be designed according to fractured well segment length and perforation number of clusters；Measuring point spacing can be according to reality
Border requires and design is laid, and general distance is between 2-10m；
When well logging is vertical well fracture, as it is shown on figure 3, described ground survey electrode system refers to straight well wellbore centre
Centered by, the measuring point laid with annulus or several rays with wellbore centre as starting point.
When well logging is Deviated Well Fracturing, as it is shown on figure 3, described ground survey electrode system refers to pressure break shooting point position
Put centered by floor projection, the measuring point laid with annulus or several rays with wellbore centre as starting point.
When well logging is vertical well fracture or Deviated Well Fracturing, as it is shown on figure 3, the angle of general two measuring points be 7.5 ° or
15 °, the most each annulus is arranged 48 measuring points or 24 measuring points, certainly, according to actual needs, each annulus also can be appointed
Meaning lays measuring point, and the angle between two measuring points can also arbitrarily adjust.
The measuring point spacing of the measuring point of the above pit shaft potential-measuring electrode and ground survey electrode system can be
Away from, it is also possible to it is Unequal distance.
Step 3, can calculate the fracture orientation in each pressure break moment, length and width according to measured value, it is achieved that in real time
Monitoring, concrete,
Pressure break length LtBeing calculated by each moment potential difference, computing formula is:
In formula: I is supply current, ρ is shoulder-bed resistivity (SBR), and M is test point, UMARefer between ground a certain measuring point M and power supply pit shaft A
Measurement potential difference (owing to power supply pit shaft A is the same with the current potential in crack, so the namely a certain measuring point in ground and the current potential in crack
Difference), LtFor the growth length in t crack, h is the test point vertical distance away from crack front, and r is that measuring point plays knick point with pressure break
The distance of (namely shooting point)；
Using the measurement potential difference between ground measuring point and power supply pit shaft A as vertical coordinate, to be parallel to horizontal well pit shaft water
The measuring point period of flat section floor projection is the test curve figure that abscissa makes some measuring points, adjacent two measuring points of the present embodiment away from
From being 5 meters, the peak value line of the curve in each moment just specifies the growth direction in crack；The spike width of curve i.e. net
The width in shape crack；
Because for single crack, fracture width is the least, for several millimeters, typically need not calculate, for chicken-wire cracking, netted
Fracture width is given by measured curve spike width；Because for the chicken-wire cracking of development in stratum, when fracturing fluid is charged therein,
Also respective belt charging charge enters this mesh-like area, then ground mutually should measurement current potential between multiple measuring points in region and pit shaft A
Difference all increases, and on curve, reaction strengthens for peak of curve width, the width of this peak of curve width namely this chicken-wire cracking
(the curve reaction in Fig. 5 is exactly chicken-wire cracking).
Described power supply pit shaft A is to utilize pit shaft and fracturing fluid the two good conductor, by the confession of ground burning voltage
Electricity system is to be filled with square wave direct current electricity in well；After fracturing fracture starts cracking, do not stop power supply with burning voltage, owing to pressure break is split
Seam constantly extends, and electric charge constantly feeds crack front with fracturing fluid；Due to for good conductor, the current potential of pit shaft electrode and crack front
Potential value is equal, and therefore, Monitoring Data is crack front current potential and status, ground, it is achieved that the monitoring of well ground.
What on-the-spot test signal was real-time has reacted whole fracturing fracture growth course, and can clearly indicate single crack
And chicken-wire cracking.
The present embodiment treat well logging for horizontal well, its test philosophy is as it is shown in figure 1, its observation system design and laying such as figure
Shown in 2, owing to for horizontal well, being parallel to Horizontal Well section track and laying survey line, two, every limit survey line.
The electric power system that the present embodiment uses is patent；For CN201020157269.8, patent name be " can load pseudo-with
The controllable signal transmitter of machine coding "；The reception system that the present embodiment uses is Patent No. 201010147421.9, proprietary term
It is referred to as receiver disclosed in " controllable signal receiver of energy loading pseudo random code "
With the system of reception, electric power system is shown in Patent No. CN201020157269.8 respectively, and patent name is " to load puppet
The controllable signal transmitter of random coded " and Patent No. 201010147421.9, patent name is " can loading pseudo random code
Controllable signal receiver "；By this-receive system Real-time and Dynamic reception measurement data, scene is tested 5 sections altogether, is surveyed continuously
The electric potential signal of each measuring point, every two and half measurement data, monitoring curve clearly show the fracture initiation time and
Crack starter location.
First paragraph that Fig. 4 and Fig. 5 respectively records and the signal of second segment staged fracturing, in figure, curve is each measuring point prison
The potential difference measured, monitors data in each measuring point two and half, so every two and half draw a curve, this song
Line is exactly the induced fracture monitoring curve in moment instantly, and peak value represents growth crack in the stratum under this monitoring point, because only
Having crack occurrence, fluid just can be along crack flow forward, and the charging charge of response just concentrates on this region, and charge concentration is just made
The potential difference having become the corresponding measuring point in ground increases.The peak value line in each moment just represents the growth in time of this crack
Journey, certainly, this peak value line the most just specifies the growth direction in crack.
Signal reaction first paragraph pressure break forms two cracks, and data are shown as monolete, and second segment pressure break forms 3 pressure breaks
Crack, data are shown as netted fracturing fracture, and the width of each fracturing fracture is different, can calculate according to measured value
The fracture orientation in each pressure break moment, length and width, it is achieved that monitor in real time.
The foregoing is only presently preferred embodiments of the present invention, not in order to limit the present invention, all essences in the present invention
Within god and principle, any modification, equivalent substitution and improvement etc. made, should be included within the scope of the present invention.
Claims (6)
1. a consistent electric field fractured horizontal well Crack Monitoring method, it is characterised in that comprise the steps:
Step 1, is filled with positive charge by charging system to the power supply pit shaft A in pressing crack construction well and fracturing fluid, gives distance power supply
Pit shaft A is the power supply negatively charged lotus of pit shaft B with sleeve pipe of more than 1000m；
Step 2, receives pit shaft potential-measuring electrode and the some position information of ground survey electrode system by receiving system；Wherein institute
Stating pit shaft potential-measuring electrode is the measurement electrode of terminal potential before the fracturing fracture introduced by holding wire and power supply pit shaft A, institute
State ground survey electrode system and be laid in earth's surface；
When well logging is fractured horizontal well, described ground survey electrode system refer to by with horizontal segment pit shaft track ground to be measured
Project the test system of some measuring points composition of parallel laying；
When, when well logging is vertical well fracture, described ground survey electrode system refers to centered by straight well wellbore centre, with annulus
Or the measuring point that several rays with wellbore centre as starting point are laid.
When well logging is Deviated Well Fracturing, described ground survey electrode system refer to pressure break shooting point position at floor projection be
Center, the measuring point laid with annulus or several rays with wellbore centre as starting point；
Step 3, can obtain the fracture orientation in each pressure break moment, length and width according to the measured value that step 2 obtains.
Consistent electric field fractured horizontal well Crack Monitoring method the most according to claim 1, it is characterised in that:
In step 3, pressure break length LtBeing calculated by each moment potential difference, computing formula is:
In formula: M is test point, UMARefer to the measurement potential difference between ground a certain measuring point M and power supply pit shaft A, LtFor t crack
Growing length, h is the test point vertical distance away from crack front；
Using the measurement potential difference between ground measuring point and power supply pit shaft A as vertical coordinate, to be parallel to horizontal well pit shaft horizontal segment
The measuring point period of floor projection is the test curve figure that abscissa makes some measuring points, and the peak value line of the curve in each moment is just
Specify the growth direction in crack；The spike width of curve i.e. the width of chicken-wire cracking.
Consistent electric field fractured horizontal well Crack Monitoring method the most according to claim 1, it is characterised in that: described Charging
System produces the square wave direct current electricity of burning voltage, gives power supply pit shaft A and power supply pit shaft B charging, forms stable filling in power supply process
Electric field.
Consistent electric field fractured horizontal well Crack Monitoring method the most according to claim 1, it is characterised in that: when treating that well logging is
During fractured horizontal well, needing to lay more than 2 surveys line, the measuring point of laying is several to be set according to fractured well segment length and perforation number of clusters
Meter；The general distance of measuring point spacing is between 2-10m.
Consistent electric field fractured horizontal well Crack Monitoring method the most according to claim 1, it is characterised in that: when treating that well logging is
When vertical well fracture or Deviated Well Fracturing, the angle of general two measuring points is 7.5 ° or 15 °, and the most each annulus is arranged 48 surveys
Point or 24 measuring points.
Consistent electric field fractured horizontal well Crack Monitoring method the most according to claim 1, it is characterised in that: described pit shaft electricity
It can be equidistant that the measuring point spacing of electrode and ground survey electrode system is measured in position, it is also possible to be Unequal distance.
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Cited By (10)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106094018A (en) * | 2016-08-25 | 2016-11-09 | 中国电建集团贵阳勘测设计研究院有限公司 | The point layout structure of a kind of earth's surface Fracturing Monitoring and method for arranging |
| CN108387444A (en) * | 2018-04-02 | 2018-08-10 | 东方华隆（北京）石油技术有限公司 | A kind of continuous monitoring and control method of cased well pressure break based on well-in-situ potential imaging |
| CN108646306A (en) * | 2018-05-31 | 2018-10-12 | 湖南继善高科技有限公司 | A kind of oil gas fracturing fracture four-dimensional geometry feature method of real-time and system |
| CN108873081A (en) * | 2018-05-31 | 2018-11-23 | 湖南继善高科技有限公司 | A kind of main seam net of oil gas pressure break stitches four-dimensional electromagnetism method of real-time and system |
| CN108868751A (en) * | 2018-05-31 | 2018-11-23 | 湖南继善高科技有限公司 | Four-dimensional electromagnetic monitoring method and system in real time is influenced between a kind of oil gas fracturing section |
| CN108983298A (en) * | 2018-05-31 | 2018-12-11 | 湖南继善高科技有限公司 | A kind of four-dimensional electromagnetic monitoring method and system in real time of oil gas pressure break |
| CN111948720A (en) * | 2020-07-15 | 2020-11-17 | 中南大学 | Underground conductor antenna effect fracturing monitoring method |
| CN112412334A (en) * | 2020-11-03 | 2021-02-26 | 山西晋城无烟煤矿业集团有限责任公司 | Potential method-based coal bed gas radial well construction track monitoring method |
| CN114459911A (en) * | 2022-01-24 | 2022-05-10 | 湖南继善高科技有限公司 | Direction interpretation method for oil and gas fracturing fracture |
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| CN114459912B (en) * | 2022-01-24 | 2023-08-08 | 湖南继善高科技有限公司 | Method and system for determining volume of oil and gas fracturing cracks |
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