CN117233835B - Method for optimizing operation pressure interval of underground gas storage by microseism monitoring technology - Google Patents
Method for optimizing operation pressure interval of underground gas storage by microseism monitoring technology Download PDFInfo
- Publication number
- CN117233835B CN117233835B CN202311197188.9A CN202311197188A CN117233835B CN 117233835 B CN117233835 B CN 117233835B CN 202311197188 A CN202311197188 A CN 202311197188A CN 117233835 B CN117233835 B CN 117233835B
- Authority
- CN
- China
- Prior art keywords
- pressure
- microseism
- gas storage
- max
- optimizing
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000003860 storage Methods 0.000 title claims abstract description 57
- 238000000034 method Methods 0.000 title claims abstract description 32
- 238000012544 monitoring process Methods 0.000 title claims abstract description 21
- 238000005516 engineering process Methods 0.000 title claims abstract description 10
- 238000005457 optimization Methods 0.000 claims description 23
- 238000002347 injection Methods 0.000 claims description 15
- 239000007924 injection Substances 0.000 claims description 15
- 238000004519 manufacturing process Methods 0.000 claims description 15
- 230000004807 localization Effects 0.000 claims description 5
- 238000004458 analytical method Methods 0.000 claims description 3
- 238000011160 research Methods 0.000 abstract description 5
- 239000007789 gas Substances 0.000 description 57
- 230000015572 biosynthetic process Effects 0.000 description 7
- 238000012986 modification Methods 0.000 description 3
- 230000004048 modification Effects 0.000 description 3
- 238000010586 diagram Methods 0.000 description 2
- 230000009545 invasion Effects 0.000 description 2
- VNWKTOKETHGBQD-UHFFFAOYSA-N methane Chemical compound C VNWKTOKETHGBQD-UHFFFAOYSA-N 0.000 description 2
- 239000011435 rock Substances 0.000 description 2
- 238000007789 sealing Methods 0.000 description 2
- 238000004088 simulation Methods 0.000 description 2
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 description 2
- 241000238097 Callinectes sapidus Species 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 238000005336 cracking Methods 0.000 description 1
- 230000001066 destructive effect Effects 0.000 description 1
- 238000009826 distribution Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 239000012530 fluid Substances 0.000 description 1
- 239000003345 natural gas Substances 0.000 description 1
- 238000012545 processing Methods 0.000 description 1
- 238000012360 testing method Methods 0.000 description 1
- 230000000007 visual effect Effects 0.000 description 1
Landscapes
- Geophysics And Detection Of Objects (AREA)
- Filling Or Discharging Of Gas Storage Vessels (AREA)
Abstract
The invention discloses a method for optimizing an underground gas storage operation pressure interval by utilizing a microseism monitoring technology. Research shows that no related research results for optimizing the operation pressure interval of the gas storage by utilizing the microseism monitoring technology exist in China.
Description
Technical Field
The invention belongs to the field of safety monitoring of gas reservoirs and microseism data processing in geophysical exploration, and particularly relates to a method for optimizing an operation pressure interval of a subsurface gas reservoir by utilizing a microseism monitoring technology.
Background
The operation pressure interval of the gas storage is an important parameter affecting the gas storage capacity and the working capacity of the gas storage. The higher the upper limit of the operation pressure is, the lower limit is, the higher the space utilization rate of the gas storage is, the larger the storage capacity and the working gas amount are, and the stronger the peak shaving capacity is. However, during the operation of the gas storage, too high or too low pressure may induce rock cracking activity, resulting in failure of integrity seal of the gas storage geologic body and leakage of natural gas. Therefore, a reasonable operation pressure interval can ensure the storage capacity and the working capacity of the gas storage to the greatest extent, and can ensure the safe operation of the gas storage, so that the gas storage is an important parameter in the operation process of the gas storage.
The gas storage operating pressure interval contains an upper pressure limit and a lower pressure limit. The upper pressure is the maximum formation pressure during operation of the reservoir. In China, the original stratum pressure of the reservoir is generally selected as the upper limit operation pressure of the gas storage, but the upper limit pressure can be properly improved for anticline or broken anticline structures which are complete in structure, good in cover layer sealing performance and not developed in internal fracture. The maximum pressure which can be born by the effective seal of the trap is predicted by analyzing the sealing effectiveness of the cover layer, the fault, the overflow point and the boundary stratum, and the upper limit pressure is comprehensively determined by combining the original stratum pressure of the gas reservoir. The lower pressure is the minimum formation pressure during operation of the reservoir. The lower limit pressure is determined by comprehensively considering factors such as the working gas quantity, the well peak regulation gas production inlet pressure, the stratum water invasion, the injection well number and the like, and simulating and analyzing multiple factors such as the working gas quantity, the stratum water invasion fluid distribution, the reservoir plane, the longitudinal effective utilization and the like under different lower limit pressures through a three-dimensional visual numerical simulation technology reflecting the formation heterogeneity and the anisotropy characteristics.
At present, the value methods of the upper and lower limit pressures in the operation pressure interval are based on the rock mechanics indoor test and numerical simulation, and are theoretical research results, and the actual operation condition of the gas storage is more complex and influenced by more factors. It is necessary to adjust and optimize according to the actual situation.
Disclosure of Invention
The invention aims to solve the technical problems in the background art and provides a method for optimizing an underground gas storage operation pressure interval by utilizing a microseism monitoring technology. Research shows that no related research results for optimizing the operation pressure interval of the gas storage by utilizing the microseism monitoring technology exist in China.
In order to solve the technical problems, the technical scheme of the invention is as follows:
A method of optimizing an operating pressure interval of a subsurface gas reservoir using microseism monitoring techniques, the method comprising:
s1: inputting microseismic localization results (x i,yi,zi,Ti,Mwi);
Wherein, (x i,yi,zi) is the inversion space position coordinate of the ith microseism event, T i is the generation time of the microseism event, M wi is the magnitude of the microseism event, i epsilon [1, A ], and A is the number of the microseism events;
S2: inputting a pressure parameter P t in the operation process of the gas storage, wherein t is time, P min is the minimum pressure in the operation process, P max is the maximum pressure in the operation process, and the operation pressure interval is (P min,Pmax);
S3: optimizing the operation pressure of the gas storage according to the magnitude of the microseism event;
s4: the operation pressure interval after optimization in the step S3 is (P min,Pmax), and the operation pressure interval of the gas storage is continuously optimized according to the number of microseism events;
S5: and (3) optimizing the pressure interval in the gas storage injection and production operation process by utilizing the steps S3 and S4, wherein the operation pressure interval after optimization is (P min,Pmax), and thus the operation pressure interval of the underground gas storage is optimized.
Further, the step S3 specifically includes:
S31: judging the relation between the magnitude of the microseism event and the magnitude constant a one by one, optimizing the operation pressure when the microseism event with the magnitude larger than a is generated, otherwise, not optimizing; that is, when M wi > a, the ith microseism occurrence time is determined to be T i, and the corresponding operating pressure value is Wherein i is [1, A ], A is the number of microseism events;
s32: if at this time in the high pressure stage And/>Optimizing upper operating pressure/>
S33: if at this time in the low pressure stageAnd/>Optimizing lower operating pressure/>
S34: and (3) completing the optimization of the operation pressure interval of the gas storage by using the magnitude of the microseism event by using the steps S31-S33, wherein the operation pressure interval after the optimization is (P min,Pmax).
Further, the step S4 specifically includes:
s41: determining a time analysis step length L, dividing the whole monitoring process into Q sections according to the monitoring time length, wherein Q=T/L, and T is the total monitoring time;
S42: counting the number R j of microseismic events in each time period, and calculating average pressure P j, wherein j is E [1, Q ];
S43: when the number R j of microseismic events is larger than b, if the microseismic events are in a high-pressure stage, namely |P max-Pj|<|Pj-Pmin | and P j<Pmax, the upper limit operating pressure P max=Pj is optimized; if the pressure is in the low pressure stage, namely |P max-Pj|>|Pj-Pmin | and P j>Pmin, the lower operating pressure P min=Pj is optimized, and the rest conditions are not optimized;
s44: and (3) completing the optimization of the operation pressure interval of the gas storage by using the number of the microseism event generation by using the steps S41-S43, wherein the operation pressure interval after the optimization is (P min,Pmax).
Compared with the prior art, the invention has the advantages that:
A method for optimizing an operation pressure interval of a gas storage by utilizing microseism monitoring technology; based on the number and magnitude of microseism events actually induced in the operation process of the gas storage, pressure data in the gas injection and production construction process are combined, parameters of the injection and production operation pressure interval are effectively optimized, destructive microseism events are avoided, and therefore the safety operation of the gas storage is guaranteed, and the method is significant.
Drawings
FIG. 1, a microseism locating result diagram;
FIG. 2 is a graph of pressure change during gas storage injection and production;
FIG. 3 is a graph of operating pressure intervals of the gas storage using microseism event magnitude optimization;
And 4, optimizing an operation pressure interval diagram of the gas storage by using the number of the microseism events.
Detailed Description
The following describes specific embodiments of the present invention with reference to examples:
It should be noted that the structures, proportions, sizes and the like illustrated in the present specification are used for being understood and read by those skilled in the art in combination with the disclosure of the present invention, and are not intended to limit the applicable limitations of the present invention, and any structural modifications, proportional changes or size adjustments should still fall within the scope of the disclosure of the present invention without affecting the efficacy and achievement of the present invention.
Also, the terms such as "upper," "lower," "left," "right," "middle," and "a" and the like recited in the present specification are merely for descriptive purposes and are not intended to limit the scope of the invention, but are intended to provide relative positional changes or modifications without materially altering the technical context in which the invention may be practiced.
Example 1:
the process of the invention comprises the following steps:
1) Microseismic localization results (x i,yi,zi,Ti,Mwi) are input.
Wherein, (x i,yi,zi) is the inversion space position coordinate of the ith microseism event, T i is the generation time of the microseism event, M wi is the magnitude of the microseism event, i epsilon [1,O ], and O is the number of the microseism events.
FIG. 1 is a microseismic event localization effort.
2) Inputting a pressure parameter P t in the operation process of the gas storage, wherein t is time, P min is the minimum pressure in the operation process, P max is the maximum pressure in the operation process, and the operation pressure interval is (P min,Pmax)
FIG. 2 is a graph of pressure change during gas storage injection and production.
3) And optimizing the operation pressure of the gas storage according to the magnitude of the microseism event. The method comprises the following specific steps:
① And judging the relation between the magnitude of the microseism event and the magnitude constant a one by one, optimizing the operation pressure when the microseism event with the magnitude larger than a is generated, and otherwise, not optimizing. That is, when M wi > a, the ith microseism occurrence time is determined to be T i, and the corresponding operating pressure value is Wherein i is E [1,O ], O is the number of microseism events
② If at this time in the high pressure stageAnd/>Optimizing upper operating pressure/>
③ If at this time in the low pressure stageAnd/>Optimizing lower operating pressure/>
④ Application step ①-③ completes the optimization of the operation pressure interval of the gas storage by using the magnitude of the microseism event, and the operation pressure interval after the optimization is (P min,Pmax)
FIG. 3 is a graph of operating pressure intervals for optimizing a gas reservoir using microseismic event magnitudes.
4) And 3) continuously optimizing the operation pressure interval of the gas storage according to the number of microseism events, wherein the operation pressure interval after the optimization in the step 3) is (P min,Pmax), and the specific steps are as follows:
① The time analysis step L (typically in hours or days) is determined and the whole monitoring process is divided into Q segments q=t/L by the length of the monitoring time, where T is the total time of monitoring.
② Counting the number R j of microseismic events in each time interval and the average pressure P j, wherein j is E [1, Q ]
③ When the number R j of microseismic events is larger than b, if the microseismic events are in a high-pressure stage, namely |P max-Pj|<|Pj-Pmin | and P j<Pmax, the upper limit operating pressure P max=Pj is optimized; if the low pressure phase is at this point, |p max-Pj|>|Pj-Pmin | and P j>Pmin, the lower operating pressure P min=Pj is optimized, and the rest is not optimized.
④ And an application step ①-③ is to complete the optimization of the operation pressure interval of the gas storage by utilizing the number of the microseism event generation, wherein the operation pressure interval after the optimization is (P min,Pmax).
FIG. 3 is a graph of optimizing the operating pressure interval of the gas reservoir using the number of microseismic events.
5) And (3) optimizing the pressure interval in the gas storage injection and production operation process by utilizing the step 3) and the step 4), wherein the operation pressure interval after optimization is (P min,Pmax).
The method can effectively optimize the operation pressure according to the actual situation of stratum fracture in the injection and production process, avoid the generation of a large number of strong-energy microseism events and ensure the safe operation of the gas storage.
Specifically:
FIG. 1 is a microseismic localization results plot; the abscissa is the model X coordinate (unit: m); the ordinate is the Y coordinate (unit: m) of the model, the color represents the sequence of microseism events, the green occurs firstly and then occurs, the size of the sphere represents the magnitude of the microseism event, the blue point is the wellhead coordinate, and the brown point is the wellhead of the monitoring well.
FIG. 2 is a graph of pressure change during gas storage injection and production; the abscissa is the date (in days) and the ordinate is the reservoir pressure value (in MPa). P max is the maximum formation pressure during the operation of the gas storage, P min is the minimum formation pressure during the operation of the gas storage, and the operation pressure interval of the gas storage is (P min,Pmax).
FIG. 3 is a graph of operating pressure intervals for optimizing a gas reservoir using microseism event magnitudes; the abscissa indicates the date (unit: day), the left ordinate indicates the pressure value (unit: MPa), and the right ordinate indicates the magnitude (unit: risky magnitude). The blue folding chart is the formation pressure change in the injection and production process, the orange histogram is the magnitude of the microseism event magnitude generated in the injection and production process, the blue virtual straight line is a magnitude constant a, the red horizontal straight line is the injection and production pressure interval before optimization (P min,Pmax), and the green horizontal straight line is the gas storage operation pressure interval after optimization by the microseism event magnitude (P min,Pmax).
FIG. 4 is a graph of optimizing the operating pressure interval of the gas reservoir using the number of microseismic events; the abscissa is the date (unit: day), the left ordinate is the pressure value (unit: MPa), and the right ordinate is the number (unit: one). The blue pattern is the formation pressure change in the injection and production process, the orange histogram is the number of microseism events generated in the injection and production process, the blue virtual straight line is the event number b, the red horizontal straight line is the gas storage operation pressure interval (P min,Pmax) after the earthquake level optimization of the microseism events, and the green horizontal straight line is the gas storage operation pressure interval (P min,Pmax) after the earthquake level optimization of the microseism events.
While the preferred embodiments of the present invention have been described in detail, the present invention is not limited to the above embodiments, and various changes may be made without departing from the spirit of the present invention within the knowledge of those skilled in the art.
Many other changes and modifications may be made without departing from the spirit and scope of the invention. It is to be understood that the invention is not to be limited to the specific embodiments, but only by the scope of the appended claims.
Claims (2)
1. A method for optimizing an operating pressure interval of a subsurface gas reservoir using microseism monitoring technology, the method comprising:
s1: inputting microseismic localization results (x i,yi,zi,Ti,Mwi);
Wherein, (x i,yi,zi) is the inversion space position coordinate of the ith microseism event, T i is the generation time of the microseism event, M wi is the magnitude of the microseism event, i epsilon [1, A ], and A is the number of the microseism events;
S2: inputting a pressure parameter P t in the operation process of the gas storage, wherein t is time, P min is the minimum pressure in the operation process, P max is the maximum pressure in the operation process, and the operation pressure interval is (P min,Pmax);
S3: optimizing the operation pressure of the gas storage according to the magnitude of the microseism event;
s4: the operation pressure interval after optimization in the step S3 is (P min,Pmax), and the operation pressure interval of the gas storage is continuously optimized according to the number of microseism events;
S5: optimizing the pressure interval in the gas storage injection and production operation process by utilizing the steps S3 and S4, wherein the operation pressure interval after optimization is (P min,Pmax), so that the operation pressure interval of the underground gas storage is optimized;
The step S3 specifically includes:
S31: judging the relation between the magnitude of the microseism event and the magnitude constant a one by one, optimizing the operation pressure when the microseism event with the magnitude larger than a is generated, otherwise, not optimizing; that is, when M wi > a, the ith microseism occurrence time is determined to be T i, and the corresponding operating pressure value is Wherein i is [1, A ], A is the number of microseism events;
s32: if at this time in the high pressure stage And/>Optimizing upper operating pressure/>
S33: if at this time in the low pressure stageAnd/>Optimizing lower operating pressure/>
S34: and (3) completing the optimization of the operation pressure interval of the gas storage by using the magnitude of the microseism event by using the steps S31-S33, wherein the operation pressure interval after the optimization is (P min,Pmax).
2. The method for optimizing the operation pressure interval of the underground gas storage according to claim 1, wherein the step S4 specifically comprises:
s41: determining a time analysis step length L, dividing the whole monitoring process into Q sections according to the monitoring time length, wherein Q=T/L, and T is the total monitoring time;
s42: counting the number R j of microseismic events in each time period, and calculating average pressure P j, wherein j is E [1, Q ];
S43: when the number R j of the microseismic events is larger than b, if the microseismic events are in a high-pressure stage, namely |P max-Pj|<|Pj-Pmin | and P j<Pmax, the upper limit operating pressure P max=Pj is optimized; if the pressure is in the low pressure stage, namely |P max-Pj|>|Pj-Pmin | and P j>Pmin, the lower operating pressure P min=Pj is optimized, and the rest conditions are not optimized;
s44: and (3) completing the optimization of the operation pressure interval of the gas storage by using the number of the microseism event generation by using the steps S41-S43, wherein the operation pressure interval after the optimization is (P min,Pmax).
Priority Applications (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202311197188.9A CN117233835B (en) | 2023-09-18 | 2023-09-18 | Method for optimizing operation pressure interval of underground gas storage by microseism monitoring technology |
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
CN202311197188.9A CN117233835B (en) | 2023-09-18 | 2023-09-18 | Method for optimizing operation pressure interval of underground gas storage by microseism monitoring technology |
Publications (2)
Publication Number | Publication Date |
---|---|
CN117233835A CN117233835A (en) | 2023-12-15 |
CN117233835B true CN117233835B (en) | 2024-05-28 |
Family
ID=89082105
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
CN202311197188.9A Active CN117233835B (en) | 2023-09-18 | 2023-09-18 | Method for optimizing operation pressure interval of underground gas storage by microseism monitoring technology |
Country Status (1)
Country | Link |
---|---|
CN (1) | CN117233835B (en) |
Citations (5)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2013028237A1 (en) * | 2011-08-23 | 2013-02-28 | Exxonmobil Upstream Research Company | Estimating fracture dimensions from microseismic data |
CN110837116A (en) * | 2018-08-15 | 2020-02-25 | 中国石油天然气股份有限公司 | Method for determining operation upper limit pressure of salt cavern gas storage |
CN112593924A (en) * | 2020-12-28 | 2021-04-02 | 中油奥博(成都)科技有限公司 | Underground gas storage safety operation monitoring system and monitoring method |
CN113253343A (en) * | 2021-05-12 | 2021-08-13 | 中油奥博(成都)科技有限公司 | Method for identifying fault activity of underground gas storage based on microseism monitoring technology |
CN113253344A (en) * | 2021-05-12 | 2021-08-13 | 中油奥博(成都)科技有限公司 | Method for realizing pressure raising early warning of underground gas storage based on microseism monitoring technology |
Family Cites Families (1)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2017086975A1 (en) * | 2015-11-19 | 2017-05-26 | Halliburton Energy Services, Inc. | Stimulated fracture network partitioning from microseismicity analysis |
-
2023
- 2023-09-18 CN CN202311197188.9A patent/CN117233835B/en active Active
Patent Citations (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
WO2013028237A1 (en) * | 2011-08-23 | 2013-02-28 | Exxonmobil Upstream Research Company | Estimating fracture dimensions from microseismic data |
CN110837116A (en) * | 2018-08-15 | 2020-02-25 | 中国石油天然气股份有限公司 | Method for determining operation upper limit pressure of salt cavern gas storage |
CN112593924A (en) * | 2020-12-28 | 2021-04-02 | 中油奥博(成都)科技有限公司 | Underground gas storage safety operation monitoring system and monitoring method |
WO2022143428A1 (en) * | 2020-12-28 | 2022-07-07 | 中国石油集团东方地球物理勘探有限责任公司 | Safe operation monitoring system and monitoring method for underground gas storage |
CN113253343A (en) * | 2021-05-12 | 2021-08-13 | 中油奥博(成都)科技有限公司 | Method for identifying fault activity of underground gas storage based on microseism monitoring technology |
CN113253344A (en) * | 2021-05-12 | 2021-08-13 | 中油奥博(成都)科技有限公司 | Method for realizing pressure raising early warning of underground gas storage based on microseism monitoring technology |
Non-Patent Citations (2)
Title |
---|
微地震监测技术在地下储气库中的应用;魏路路;井岗;徐刚;王飞;李晓峰;刘博;;天然气工业;20180827(第08期);全文 * |
魏路路 ; 井岗 ; 徐刚 ; 王飞 ; 李晓峰 ; 刘博 ; .微地震监测技术在地下储气库中的应用.天然气工业.2018,(第08期),全文. * |
Also Published As
Publication number | Publication date |
---|---|
CN117233835A (en) | 2023-12-15 |
Similar Documents
Publication | Publication Date | Title |
---|---|---|
Marongiu-Porcu et al. | Advanced modeling of interwell-fracturing interference: an Eagle Ford shale-oil study | |
CN110469303B (en) | Volume fracturing parameter optimization design method based on four types of transformation volumes | |
CN110298107B (en) | Working face impact risk evaluation method based on incremental stacking | |
Pankaj | Decoding positives or negatives of fracture-hits: a geomechanical investigation of fracture-hits and its implications for well productivity and integrity | |
CN111927555A (en) | Dynamic prediction method for water inflow of coal mine working face under mining disturbance condition | |
WO2022011015A1 (en) | Optimization of discrete fracture network (dfn) using streamlines and machine learning | |
CN115288650A (en) | Method for parallel computing and simulating hydraulic fracturing in pore elastic medium | |
Li et al. | Underground gas storage process optimization using integrated subsurface characterization, dynamic modeling and monitoring-a case study | |
Lolon et al. | Application of 3-D Reservoir Simulator for Hydraulically Fractured Wells | |
CN117233835B (en) | Method for optimizing operation pressure interval of underground gas storage by microseism monitoring technology | |
CN113253343B (en) | Method for identifying fault activity of underground gas storage based on microseism monitoring technology | |
Venepalli et al. | Evaluation of a superior shale EOR application in the Eagle Ford Shale | |
CN111894545B (en) | Method for determining proppant pumping scheme | |
Petunin | Finite difference approach to modeling geomechanics in hydraulic fracturing | |
Yong et al. | An Integrated Modelling Workflow to Optimise Initial Production Rate and Well Spacing for Longmaxi Shale Gas Play | |
Jing et al. | Numerical Investigation on Field-Scale Fracture Propagation of Multi-Layered Formations Based on Unconventional Fracture Model | |
Kent et al. | Microseismic response and geomechanical principles of short interval re-injection (SIR) treatments | |
AU2011306526B2 (en) | Production monitoring system and method | |
Bradford | The application of hydraulic and thermal stimulation techniques to create enhanced geothermal systems | |
Baisch et al. | Improving hydraulic stimulation efficiency by means of real-time monitoring | |
Cruz et al. | Hydraulic fracture propagation in a vertically and laterally heterogeneous stress media in the Permian Basin | |
CN118468411B (en) | Automatic construction method and system for joint fracture tunnel stability database based on FEM-DEM | |
Tian et al. | Compositional simulation of coupled transport mechanisms in fractured-vuggy underground gas storage: A case study of LWC in the Sichuan Basin | |
Bai et al. | Feasibility study on transformation of abandoned salt caverns into underground gas storage in China | |
Zhang et al. | Hydromechanical Modeling of Nonplanar Three-Dimensional Fracture Propagation Using an Iteratively Coupled Approach |
Legal Events
Date | Code | Title | Description |
---|---|---|---|
PB01 | Publication | ||
PB01 | Publication | ||
SE01 | Entry into force of request for substantive examination | ||
SE01 | Entry into force of request for substantive examination | ||
GR01 | Patent grant | ||
GR01 | Patent grant |