The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive
The mathematical models of technological process of pneumatic and hydrodynamic treatment on anisotropic underground rock massive, saturated with useful minerals, is considered. The treatment applies as a way of directed changing of massive status for intensification of mineral extraction and its e...
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irk-123456789-853082015-07-25T03:01:45Z The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive Pavlysh, V.N. Lazebnaya, L.A. Интеллектуальные системы планирования, управления, моделирования и принятия решений The mathematical models of technological process of pneumatic and hydrodynamic treatment on anisotropic underground rock massive, saturated with useful minerals, is considered. The treatment applies as a way of directed changing of massive status for intensification of mineral extraction and its effectiveness depends of quality of parameters control. The structure of the automatic control system and the algorithm of its parameters selection is proposed. Розглянуто математичні моделі технологічного процесу пневматичної та гідродинамічної дії на анізотропні підземні породні масиви, насичені корисною мінеральною сировиною. Дія здійснюється як спосіб спрямованої зміни стану масиву з метою інтенсифікації вилучення сировини. Запропоновано структуру системи автоматизованого керування та алгоритми контролю її параметрів. Рассматриваются математические модели технологического процесса пневматического и гидродинамического воздействия на анизотропные подземные породные массивы, насыщенные полезным минеральным сырьем. Воздействие осуществляется как способ направленного изменения состояния массива с целью интенсификации извлечения сырья. Предложена структура системы автоматизированного управления и алгоритмы контроля ее параметров. 2014 Article The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive / V.N. Pavlysh, L.A. Lazebnaya // Искусственный интеллект. — 2014. — № 4. — С. 71–77. — Бібліогр.: 5 назв. — англ. 1561-5359 http://dspace.nbuv.gov.ua/handle/123456789/85308 681.518.52:622.53 en Искусственный интеллект Інститут проблем штучного інтелекту МОН України та НАН України |
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Интеллектуальные системы планирования, управления, моделирования и принятия решений Интеллектуальные системы планирования, управления, моделирования и принятия решений |
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Интеллектуальные системы планирования, управления, моделирования и принятия решений Интеллектуальные системы планирования, управления, моделирования и принятия решений Pavlysh, V.N. Lazebnaya, L.A. The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive Искусственный интеллект |
| description |
The mathematical models of technological process of pneumatic and hydrodynamic treatment on anisotropic
underground rock massive, saturated with useful minerals, is considered. The treatment applies as a way of
directed changing of massive status for intensification of mineral extraction and its effectiveness depends of
quality of parameters control. The structure of the automatic control system and the algorithm of its
parameters selection is proposed. |
| format |
Article |
| author |
Pavlysh, V.N. Lazebnaya, L.A. |
| author_facet |
Pavlysh, V.N. Lazebnaya, L.A. |
| author_sort |
Pavlysh, V.N. |
| title |
The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive |
| title_short |
The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive |
| title_full |
The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive |
| title_fullStr |
The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive |
| title_full_unstemmed |
The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive |
| title_sort |
mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive |
| publisher |
Інститут проблем штучного інтелекту МОН України та НАН України |
| publishDate |
2014 |
| topic_facet |
Интеллектуальные системы планирования, управления, моделирования и принятия решений |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/85308 |
| citation_txt |
The mathematical models and function algorithms of automatic control system of dynamic treatment process on underground massive / V.N. Pavlysh, L.A. Lazebnaya // Искусственный интеллект. — 2014. — № 4. — С. 71–77. — Бібліогр.: 5 назв. — англ. |
| series |
Искусственный интеллект |
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AT pavlyshvn themathematicalmodelsandfunctionalgorithmsofautomaticcontrolsystemofdynamictreatmentprocessonundergroundmassive AT lazebnayala themathematicalmodelsandfunctionalgorithmsofautomaticcontrolsystemofdynamictreatmentprocessonundergroundmassive AT pavlyshvn mathematicalmodelsandfunctionalgorithmsofautomaticcontrolsystemofdynamictreatmentprocessonundergroundmassive AT lazebnayala mathematicalmodelsandfunctionalgorithmsofautomaticcontrolsystemofdynamictreatmentprocessonundergroundmassive |
| first_indexed |
2025-07-06T12:31:12Z |
| last_indexed |
2025-07-06T12:31:12Z |
| _version_ |
1836900755939786752 |
| fulltext |
ISSN 1561-5359 «Штучний інтелект» 2014 № 4 71
3P
УДК 681.518.52:622.53
V.N. Pavlysh, L.A. Lazebnaya
Donetsk National Technical University, Donetsk, Ukraine
Ukraine, 83050, Donetsk, Artyoma st., 131
The Mathematical Models and Function Algorithms
of Automatic Control System of Dynamic Treatment
Process on Underground Massive
В.Н. Павлыш, Л.А. Лазебная
ГВУЗ « Донецкий национальный технический университет», г. Донецк, Украина
Украина, 83050, г. Донецк, ул. Артема, 131, pavlyshvn@mail.ru
Математические модели и алгоритмы
функционирования системы автоматизированного
управления процессом динамического воздействия
на подземные массивы
В.М. Павлиш, Л.О. Лазебна
ДВНЗ « Донецький нацiональний технічний університет», м. Донецьк, Україна
Україна, 83050, м. Донецьк, вул. Артема, 131
Математичні моделі та алгоритми функціонування
системи автоматизованого керування процесом
динамічної дії на підземні масиви
The mathematical models of technological process of pneumatic and hydrodynamic treatment on anisotropic
underground rock massive, saturated with useful minerals, is considered. The treatment applies as a way of
directed changing of massive status for intensification of mineral extraction and its effectiveness depends of
quality of parameters control. The structure of the automatic control system and the algorithm of its
parameters selection is proposed.
Keywords: process, mathematical model, control, massive, system.
Рассматриваются математические модели технологического процесса пневматического и гидродина-
мического воздействия на анизотропные подземные породные массивы, насыщенные полезным
минеральным сырьем. Воздействие осуществляется как способ направленного изменения состояния массива
с целью интенсификации извлечения сырья. Предложена структура системы автоматизированного
управления и алгоритмы контроля ее параметров.
Ключевые слова: процесс, математическая модель, управление, массив, система.
Розглянуто математичні моделі технологічного процесу пневматичної та гідродинамічної дії на анізотропні
підземні породні масиви, насичені корисною мінеральною сировиною. Дія здійснюється як спосіб
спрямованої зміни стану масиву з метою інтенсифікації вилучення сировини. Запропоновано структуру
системи автоматизованого керування та алгоритми контролю її параметрів.
Ключові слова: процес, математична модель, керування, масив, система.
Pavlysh V.N., Lazebnaya L.A.
«Искусственный интеллект» 2014 № 4 72
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Introduction
The exclusive feature of formation of underground rock massive, containing useful
minerals, in particular oil and gas arrays, is anisotropy. There comes a time when lightly
extracted part of the product ends and significant reserves remain sequestered within the
array, resulting in reduced production volumes. In this case becomes important problem of
increasing the intensity of extraction of useful product. One of the ways is a purposeful
change in the properties of the array by external treatment, particularly pneumatic and
hydraulic dynamical processing, while negative effect anisotropy array. Quality implemen-
tation exposure provided by automatic process control, which allows you to quickly react
to put out of negative influence of anisotropy and ensure the stability of technological
parameters.
Technological base of process
Pneumohydrodynamic saturated groundwater treatment is carried out by high-
pressure arrays aerated fluid injection through wells drilled from the surface on the horizon
is to change its status to intensify the yield of usable product. In addition, hydrodynamic
impact on the producing formation is carried out in order to alter the balance of his status
as a method of pre-selection activation of hydrocarbons [1], [2].
Essence pneumohydrodynamic impact is compulsory introduction mixture of air
and liquid in the array developed under high pressure with subsequent discharge (Fig. 1).
Integrated pneumohydrodynamic impact is complex multifactorial process, and it is
necessary to apply the rational organization of automated control. Virtually all applicable
Geotechnology reduced to the well producing hydrocarbons and consist of:
− Drilling from the surface to the producing formation with its opening;
− The impact of different kinds of wells in the reservoir to increase its natural gas
permeability;
− Pumping up filtering [3].
Figure 1 – Vertical section of the well
The Mathematical Models and Function Algorithms of Automatic Control System...
«Штучний інтелект» 2014 № 4 73
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The pneumohydrodynamical effects of rising pressure in the annular space of a well
and pump-compressor pipes by forcing air compressor, and the collapse-the opening of the
well through a management device.
This approach is commonly referred to as «traditional».
Differences «alternative» approach to a «traditional» Truce in the second paragraph
and theoretical assumptions [4]. For «alternative» approach to the second point can be
formulated as «the creation of conditions for self-hills on well (exposure of the array into
the well) to initiate (start) out of hydrocarbons». The basic idea of an alternative approach,
except for changing the direction of the stimulation on the opposite, the assumption is that
the permeability of the reservoir and discharge sources are shown simultaneously and
technogenic origin.
If we consider a system of «productive layer – production (well)» in terms of synergy, the
traditional scientific knowledge of saturated arrays undergo significant changes. For example, a
well-known fact that from a certain depth of exploitation array acquires the ability to self-
destruct with the formation of spin zone is interpreted as the formation of an ordered tree
of man-made cracks – «dissipative structures». These and other kinds of dissipative
structures, consisting of man-made cracks in the vicinity of the exposed surface, usually
referred to as «tree» system of cracks [5].
Theoretical base of investigation
Known techniques to stimulate extraction through the wells drilled from the surface, for
example, hydraulic fracturing directed hydrodismemberment layers, etc. are used when
drilling the resulting «tree» system cracks around technological injection well in which the
working fluid or other agent in order to further their disclosure. When designing techno-
logy schemes of pumping of liquid agent must make a preliminary calculation of the basic
parameters, such as injection pressure, flow rate (tempo), and others.
To solve the problem, a linearized model of fluid flow in fractured porous media is
applied [3]:
( ) .
P P
K x
t x x
∂ ∂ ∂
=
∂ ∂ ∂
The equations of the same type are obtained to describe the process of movement of
air, or gas-liquid mix.
The automatic control system was effective for the treatment of an array, you must
use the model in real time, and on the other hand, the filtration characteristics of the
reservoir are actually random variables whose values are initially based on average data
exploration. In the circumstances, the following approach adopted.
The system of using two models:
– the original model of the rock massive with its characteristics of geological data;
– a forecast model, reflecting the expected state at the moment, on the basis of the
information on the results of the effects in real time.
This approach allows you to escape from the identification procedure object parameters
(filtration coefficient, the coefficient of the anisotropy of the effective porosity, etc.).
The simulation of the one-dimensional flow does not provide sufficient information
for the theoretical understanding of the nature of the process. To solve the problem of
mathematical modeling of hydraulic impact to an array with a two-dimensional (planar)
formulation technique of longitudinal-transverse direction (Douglas). The equation is of
the form:
∂
∂
∂
∂
+
∂
∂
∂
∂
=
∂
∂
y
p
pk
yx
p
pk
xt
p
)()(
Pavlysh V.N., Lazebnaya L.A.
«Искусственный интеллект» 2014 № 4 74
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Task selection and effects that improve the quality of treatment in spite of the
unfavourable structure of the array. In other words, it is also necessary to improve
technology to processing to compensate for unfavourable characteristics of the building of
the reservoir. One possible way is the way of the hydraulic impact through the cascade of
wells (way to cascade moisturizing treatment). Studies of fluid discharge in coal seam
through the cascade wells led to the conclusion that the use of this method to improve the
uniformity of processing array.
The approach to system construction
Figure 2 – Structural-functional diagram
When you build a system of control of an important component is the unit software,
designed to simulate the condition and operational definition of current results.
As stated above, the purpose of automation-stabilization technology options.
The system includes the technological schemes of all interventions, coordinating
the work carries out central module (CM). The generalized structure of the system is
shown in Figure 2. Here SB – a single borehole, LM – local method, RM –regional
method, ELC – effects on a layer in the complex, CHT – cascade Hydro-treating.
The switch selects the specified flow chart and sets the direction of further
operation.
The mathematical models form the basis of a software management system. The
main feature of the process is the impact that the object (mountain range) "closed" from
direct observation, and a mathematical model to simulate the process of impact, based on
information about the "reaction" to the impact of the object.
Comparing the data, the system fulfills team correction controlled parameters.
Fig. 3 shows the functional- logical structure of automated control system (ACS).
The Mathematical Models and Function Algorithms of Automatic Control System...
«Штучний інтелект» 2014 № 4 75
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Figure 3 – Functional-logical structure of the system Automatic Control System (ACS)
I. Characters of
environment
IV. Mode of
processing
V. Technological
scheme of treatment
II. Characters of
treatment means
physical
chemical
technological
physical properties
composition
method of obtaining
получения
III. PURPOSE OF
TREATMENT
Regime
of
apparatus
action
Characters
of working
agent
Apparatus
type
Technology
of
treatment
VI. Beginning and finish
characters of treatment
object
VII. Parameters of
process
VIII. Beginning data for control
system
IX. Mathematical soft ASC
Vectors of status and control
Mathematical
models
Technical units Algorithms and
programs
Pavlysh V.N., Lazebnaya L.A.
«Искусственный интеллект» 2014 № 4 76
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Selection and subsequent design of the system is complicated by uncertainty, which
is a fundamental feature of the implementation process and the impact of management
principles algorithmization. Table 1 shows the comparative characteristics of the main types of
management structure: functional, matrix and project [5].
Simulation modeling to determine the overall trend in the direction of a process runs
automated selection of parameters of operational management. However, it is necessary to
have the current choice of the complex algorithm parameters. Fig . 4 shows a block diagram of
the control of the selection algorithm set close to optimal.
Table 1 – The main types of control structure
Criteria for assessing the
structure
Functional Matrix Project
Uncertainty medium low high high
Technology implementation standard complex new
The complexity of process low medium high
Duration of the process short medium high
Mutual relationship between
the individual components
low average significant
Criticality runtime low medium high
Communication with
higher-level systems
strong medium weak
Figure 4 – Flowchart selection of the current control vector.
Conclusion
As a result of technological implementation process pneumohydrodynamic aniso-
tropic effects on underground saturated mass is forced introduction of air and liquids under
high pressure in natural cavities, causing an array of structural changes, accompanied by
the expansion of pores and cracks.
After discharge the activated selection of hydrocarbons into the well of the array.
On the basis of theoretical concepts, received practical advice on choosing the structure
and technological parameters of the automated control system, developed an algorithm for
selecting the optimal approximate vector control process pneumohydrodynamic impact.
+
Entrance vector
(У1,У2,…УК)
Filter
Classificatory
Block of comparison with
minimal deviation
ε
Complex of
parameters
(vector)
satisfied nearby
to optimal
Creation of new
complex (vector)
Deviation
≤ ε
Exit vector
(U1,U2,…,UК)
–
The Mathematical Models and Function Algorithms of Automatic Control System...
«Штучний інтелект» 2014 № 4 77
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Reference
1. Hydrodynamic effects on gas-bearing coal seams / A.F. Bulat, K.K. Sophiyskiy, D.P. Silin etc. - Dnepropetrovsk,
2003. – 220 p.
2. Pavlysh V.N. Basic theory and technology parameters hydropneumatic processes impact on coal seams /
V.N. Pavlysh, Y.M. Shtern ; Monograph. – Donetsk : VIC, 2007 . – 409p .
3. Shestopalov A.V. Concept Geotechnology fishing methane production and coal exclusively by the energy
of natural forces / A.V. Shestopalov // Horn. inf. anal . Bull. Mosk. Reg. bugle . Univ . – Moscow:
Moscow State University, 1999. – № 2. – P. 154-159 .
4. Cherednikov V.V. Problem control process pneumohydrodynamic impact on gas-saturated rock massive in the
mine them. A.F. Zasyadko / V.V. Cherednikov, K.K. Sophiyskiy, S.S. Seryozhnikov // Proc. science. w.
«Geotechnology and production management XXI Century»: Proceedings of the II International Scientific-
Practical Conference (2-3 October, 2007). – Donetsk, 2007. – P. 58-63 .
5. Nazimko V.V. Criterion of operational project management / V.V. Nazimko // Projects management
manufacture development: Collection of scientific works // Edition V.A. Rach. – 2014. – № 1 (23). P. 74-84
RESUME
V.N. Pavlysh, L.A. Lazebnaya
The Mathematical Models and Function Algorithms of Automatic Control
System of Dynamic Treatment Process on Underground Massive
Background: In given work the problem of application of computer methods for solution of the
task of increasing the intensity of extraction of useful product from anisotropic underground rock massive,
saturated with useful minerals, is considered. One of the ways is a purposeful change in the properties of
the array by external treatment, particularly pneumatic and hydraulic dynamical processing, while negative
effect anisotropy array. Quality implementation exposure provided by automatic process control, which
allows you to quickly react to put out of negative influence of anisotropy and ensure the stability of
technological parameters.
Materials and methods: Pneumohydrodynamic saturated groundwater treatment is carried
out by high-pressure arrays aerated fluid injection through wells drilled from the surface on the
horizon is to change its status to intensify the yield of usable product. In addition, hydrodynamic
impact on the producing formation is carried out in order to alter the balance of his status as a
method of pre-selection activation of hydrocarbons.
The automatic control system was effective for the treatment of an array, you must use the model in
real time, and on the other hand, the filtration characteristics of the reservoir are actually random variables
whose values are initially based on average data exploration. In the circumstances, the following approach
adopted. The system of using two models:
– the original model of the rock massive with its characteristics of geological data;
– a forecast model, reflecting the expected state at the moment, on the basis of the
information on the results of the effects in real time.
Results: As a result of technological implementation process pneumohydrodynamic anisotropic
effects on underground saturated mass is forced introduction of air and liquids under high pressure in
natural cavities, causing an array of structural changes, accompanied by the expansion of pores and cracks.
Conclusion: Simulation modeling to determine the overall trend in the direction of a process runs
automated selection of parameters of operational management. However, it is necessary to have the
current choice of the complex algorithm parameters.
On the basis of theoretical concepts, received practical advice on choosing the structure and
technological parameters of the automated control system, developed an algorithm for selecting the
optimal approximate vector control process pneumohydrodynamic impact.
The article entered release 03.06.2014.
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