designing and construction of roads, subways, airfields
TRANSCRIPT
Scientific Herald of the Voronezh State University of Architecture and Civil Engineering. Construction and Architecture
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DESIGNING AND CONSTRUCTION OF ROADS, SUBWAYS,
AIRFIELDS, BRIDGES AND TRANSPORT TUNNELS
UDC 625.717 Military Air Engineering University (Voronezh)
Ph. D. in Engineering, Assoc. Prof., Head of 32 department of Engineering Airfield Maintenance A. N. Popov
Ph. D. student of 32 department of Engineering Airfield Maintenance I. G. Shashkov
Voronezh State University of Architecture and Civil Engineering
D. Sc. in Physics and Mathematics, Prof. of Dept. of Building Machinery and Engineering Mechanics
A. V. Kozlov
Russia, Voronezh, tel.: 8-919-243-32-17; e-mail: [email protected]
A. N. Popov, I. G. Shashkov, A. V. Kozlov
A TECHNIQUE OF ESTIMATION OF TECHNICAL CONDITION OF RIGID
AIRFIELD PAVEMENTS IN THE CONTEXT OF RISK THEORY
Problem statement. To provide for safe takeoff and landing of modern aviation complexes, special
attention is given to technical condition of artificial pavements of runways which can be serviceable
or faulty, efficient or limiting. Available standard methods of an expeditious estimation of an opera-
tional-technical condition of airfield pavements are based on general principles of defect graduation
and of definition of integrated total generalized indicator of pavement condition and often yield the
results contradicting each other, which complicate making decision in relation to operation.
Results and conclusions. The classification of linear constructions of airfields by responsibility
level is proposed. Theoretical basics and practical recommendations on estimation of a technical
condition of rigid airfield pavements by permissible level of are formulated with respect to level of
risk with the use of principals of reliability theory and of risk theory. The recommendations pro-
posed rest on new principles of technical regulation established by Federal Law N 184-FZ “On
technical regulation”.
Keywords: airfield pavement, reliability, risk, runway.
Introduction
Airfield pavements in modern aerodromes are complex engineering structures that have to
meet so many high requirements imposed on them, among them particularly operational ones.
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The advancing level of technical operation involves first of all more rational organizational
patterns that would assist in creating a maintenance system allowing for timely and efficient
rehabilitation with minimum cost and labour.
Critical to the technical operation of aerodrome structures are the following:
adherence to the operational code during design process;
creating a pavement control system and related structures at different stages of their
operation.
There are two methods in which paving is maintained – by searching and eliminating dis-
tresses and by carrying out planned inspection and test activities. The first method is disad-
vantageous in the sense that it puts limits to its actual use. First, as aerodrome pavement is
routinely and normally used, a likelihood of identifying distresses is numerically small espe-
cially when such massive structures as a runway are in operation, thus resulting in a signifi-
cant drop in the efficiency achieved by searching and eliminating distresses at this point. Fur-
thermore, in practice, technical operation is organized with no sufficient information available
or none at all. This being the case, searching and eliminating distresses allows for assump-
tions to be made. A likelihood of identifying pavement failures and their timely removal de-
pends on whether these turn out true or false.
The second issue that is detrimental to the efficiency of the operational system in question is
that searching and eliminating distresses involves a series of events where in order for any
technical measures to be taken, there first should be an ongoing defect to be removed and on-
ly then can they act on its elimination. Since there should be some time delays between these
steps for proper preparations to be in place, searching and eliminating defects allows for a
time delay in their removal. In some cases, this may not meet the safety requirements for air-
port runways.
The third issue offsetting the efficiency of this method of the technical operation is that it does
not enable scheduling of repair and maintenance works as there is not a whole lot of variety of
pavements resulting in all of their present applications to a certain point under the same con-
ditions show the same likelihood of failure.
The above suggests that the major system of operating airport pavements that ensures its fre-
quency and aircraft safety is a system of inspection and test activities. This system means works
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associated with restoring operational characteristics of runways are conducted not after defects
occur but so that to prevent them doing so. At the core of this united system of repair and main-
tenance works on airport facilities is a system of timely scheduled inspection and test activities.
The major challenge this system poses especially given its poor funding is that it provides no
comprehensive methods of analyzing the outcome of a study that would potentially enable not
only to assess the pavement condition but also to make predictions as to changes that might
happen and therefore sensibly allocate funding.
1. Analyzing current methods of the assessment of the technical condition of aerodrome
pavements
The assessment of the technical condition of aerodrome pavements of state aviation in accor-
dance with the regulatory documents [8, 9] includes the qualitative and quantitative assessment.
The qualitative assessment is performed to determine whether a pavement is fit to use in terms
of its load-bearing capacity in a specified type of aircraft by comparing aircraft classification
numbers ACN and a load-bearing capacity of РCN with the same subgrade strength [9].
A pavement classification number should not be lower than an aircraft classification number
operating on this very pavement [3, 9]:
,K ACN PCN (1)
where К is a coefficient considering the intensity of air traffic flows.
If the condition (1) is not met, it is necessary that the aircraft mass limits are introduced and
intensity of take-offs and landings is decreased.
The method ACN—РCN found a range of applications and is adopted as a regulatory docu-
ment in the Russian Federation [9, 10].
The quantitative assessment defines the operational suitability of pavements based on the
analysis of the nature and number of distresses [9]. The criteria describing the condition of the
pavement surface are the parameters describing the defects and wears (the width of exposure,
area, etc.) revealed during inspection. These are also quantitative indices of the technical con-
dition of a pavement surface and deterioration rate that reflect a number of ongoing defects
and wears and intensity of their manifestation.
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In practice, a whole range of Russian and foreign methods of operational assessment of the
technical condition of rigid aerodrome pavements are put into use [4, 5, 8, 12]:
of signal assessment Sk (FGUP GPI and NII GA “Aeroproject”);
determining the pavement condition index Ik (Ministry of Aviation Industry);
assessment of the technical and operational pavement performance using
N. V. Sviridov’s method;
determining the pavement integrity index MI (26 CSRI MR RF);
a standard method of determining an aerodrome pavement condition index PCI (USA);
determining a complex index Кк (26 CSRI MR RF).
The index Sk is computed based on cracks occurring on the pavement plates, spalling and
slabbing and is calculated using the formula
0
1005.00 (0.10 0.05 0.03 ),к ск тр шS N N NN
(2)
where Nск, Nтр, Nш is a respective number of the surface plates experiencing cracks, spalling
and slabbing; Nо is a total number of the plates on the pavement surface.
The method of signal assessment Sk is to be in compliance with the requirements set for an
airport performance [5].
The index Ik makes provisions for a close relation between “a weight” of defects and areas of
the pavement under our estimation as well as for a range of an influence major structural in-
dices have on the pavement condition index. The pavement is subdivided into sections for
which we calculate individual condition indices:
4 7
1 1
100k j ik i ij
j ik
I W V b aS
, (3)
where Sk is the area of the k-th section; Wj is a factor weight: W1 is a service life cycle, W2 is
an adhesion coefficient, W3 is an evenness, W4 is clogging; Vik is a percentage of the plates
with the failures of the i-th type obtained as a result of the survey of the k-th section; bi is a
weight of the i-th failure type; aij is the assessment of the influence of the i-th failure type on
the j-th factor.
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The weight of the i-th failure type bi and effect assessment aij are defined by the method of
expert poll.
N. V. Sviridov came up with the method of the assessment of technical and operational condi-
tion of pavements according to which a number of plates subjected to a certain type of distress
is divided into a total number of the plates in this area and as a result a density of distress is
obtained which is then multiplied by the weight of distress. Thus an average distress weight is
obtained for each its type and their sum also yields a total average distress weight whose val-
ue further guides the judgment as to what condition a pavement is currently in.
The general disadvantage underlying the methods of signal assessment Sk of the pavement
condition index Ik and N. V. Sviridov’s method is the assessment of the technical pavement
condition according to a number of distressed plates with no respect to the value of distresses
(height, area, etc.). A typical feature of the pavement integrity index МI is that it gives the
consideration to a number of distresses and the effect ‘a weight’ of distress has on the flying
safety. The pavement integrity index is determined using the following formula:
1,
ki i
i
n aMIn
(4)
where n, ni is a total number of plates and distresses of the i-th type; аi is the weight of dis-
tresses of the i-th type; k is a number of the identified distress types. If distresses and failures
of different types occur in one plate, when determining the index MI.
Abroad they use a US-developed method ASTM D5340-93 of quantitative and qualitative as-
sessment of the aerodrome pavement condition which is routinely used to determine the aero-
drome pavement condition index (PCI). This method is based on the same approach as the
Russian methods are, i. e. on visual identification of distresses in pavements, classification of
these distresses according to their weight and their severity, determining the integral assess-
ment of the pavement condition with regard to the density of distress propagation in the
pavement area. The index of the aerodrome pavement condition PCI was determined using
the formula
PCI = 100 – MaxCDV, (5)
where MaxCDV is the greatest value of the altered reduced value.
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In order to define the value of failures in rigid pavements, this method utilizes the already de-
termined weight functions for each distress. The functions are presented as graphs with vary-
ing degrees of distress (low, average, high) and its volume considered.
Similar to the index PCI in its essence and the algorithm of the assessment of the pavement
condition is the complex index Кк that is defined as described in [4]:
100 100,кA A Б Б В В Г ГK K P K P K P K P (6)
where РА, РБ, РВ, РГ are weight coefficients for the pavement areas, КА, КБ, КВ, КГ are the
values of the quality indices of the pavement area.
Depending on the value of the complex index, it is recommended that operational mainten-
ance, routine or major repairs be in place. A peculiar thing about the Кк is that it takes the
quality of the surface into special account.
Despite the common principles, each of these methods are particular in its own individual
way and are fundamentally different:
1. A varying approach to the algorithm of visual observation:
the method of determining the index PCI and the complex index Кк implies that the
elements of the airfield are divided into areas which are in turn are divided into samples;
N. V. Sviridov’s method, the method of determining the pavement condition index Ik
and the method of determining the pavement integrity index MI: the elements of the pavement
are divided into areas (sections);
the method of signal assessment Sk: the pavement is assessed element-wise.
2. A varying set of distresses of artificial pavements:
according to the method of determining Кк, 18 types of distresses are taken into ac-
count;
according to the method PCI — 15;
according to the method MI — 9;
according to N. V. Sviridov’s method — 12;
according to the method Ik — 12;
according to the method of signal assessment Sk — 3.
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3. Varying indices and ambiguity of the category of the technical condition of aerodrome
pavement.
Table 1 presents the resulting assessments of the condition of a part of the artificial runway
obtained using various methods.
Table 1
Example of the pavement condition assessment
Calculation method Index Value Pavement condition
Using the pavement condition index PСI 9.3 Poor
Using the complex index Кк 58.0 Good
Using the method of signal assessment Sк 4.0 Fit to operate
Using the pavement integrity index MI 3.1 Restricted operation
Using N. V. Sviridov’s method
1.2 Satisfactory
The analysis shows that the conclusions made as to the pavement condition are at odds with
one another, which obviously poses extra challenges on making operation-related decisions.
4. A common disadvantage of all the methods considered is that the pavement condition can
only be assessed at the moment of its monitoring which makes it impossible to forecast
changes in its technical condition.
2. Theoretical principles and practical guidelines on the assessment of the reliability of
the pavement areas using the major regulations and the risk theory
“Technical Regulation’ law was enacted in 2002 that established the risk management as a
characteristic shared by all structures. Its authors propose the assessment of the aerodrome
pavement condition in terms of a reliability level accepted and a degree of risk based on the
new principles of technical regulation and of the reliability theory. The subjects of the tech-
nical regulation in [15] were buildings and structures of any purpose (as well as networks of
engineering and technical provision and systems of engineering and technical provision) as
well as processes associated with buildings and structures and project designs (including ex-
amination), construction, installation, remedy works, operation and recycling (demolition).
The principles provided in [15] hold for all life cycles of a building or a structure. The docu-
ment in question sets out minimum necessary requirements for buildings and structures as
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well as for processes associated with buildings and structures and project designs (including
examination), construction, installation, remedy works, operation and recycling (demolition).
Following the identification process, a building or a structure is referred to an appropriate lia-
bility level which is a characteristic of a building or a structure defined according to the scope
of economical, social and environmental consequences that may follow their deterioration:
I — high. These are buildings and structures in compliance to the Urban Design Code
of the Russian Federation deemed overly hazardous, technically complex or unique objects;
II — normal: buildings and structures, except for buildings and structures of the high
and low liability levels;
III — low: these are buildings and structures for a temporary (seasonal) use as well as
buildings and structures for secondary use involved in the construction or reconstruction of a
building or a structure or those located on lands granted for individual housing construction.
The values of the reliability coefficient as related to buildings and structures of all liability
levels are given in Table 2.
Aerodrome pavements which following the construction are thus linear construction systems
with building above ground levels consisting of load-bearing structures are referred to struc-
tures with the high liability level whose failure is highly likely to have a heavy economic, so-
cial and environmental impact.
According to the regulations [8], aerodrome pavements are divided into groups of areas based
on the effect of the aircraft load and load-bearing capacity (Fig. 1).
Hence the fundamental principles [15] can apply to the pavement classification according to a
liability level:
high — areas Б (runways areas adjacent to the edges);
normal — areas A, Б (aircraft ramps), В and Г;
low — areas Б (terminal and junction helipads).
The overall feature of aerodrome pavement is its reliability. The reliability of aerodrome
pavement is knowingly a figure that describes the system’s ability to deliver unfailing per-
formance thus ensuring a safe take-off, landing and taxiing. Depending on the specification of
a system and its operation conditions, the regulations and guidelines defines the following in-
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dicators of a system’s reliability. They are unfailing performance, durability, maintenance and
repairability, a longer service life and variability.
To provide an unbiased assessment of the operational suitability of aerodrome pavements, it
would make sense to introduce another indiсator of operational durability that describes its
ability to retain its working capacity till some boundary condition.
Table 2
Classification of linear aerodrome structures according
to the liability levels with consideration to [15]
According
to [15]
Considering
the structure [17]
According to the
guidelines [2] According to [16]
A st
ruct
ure
liabi
lity
leve
l
Rel
iabi
lity
coef
ficie
nts
A g
roup
of r
unw
ay a
reas
Aerodrome
element
Acc
epta
ble
relia
bilit
y
valu
es P
acce
ptab
le
Mar
gina
l fai
lure
coef
ficie
nt (t
oler
able
risk
)
Into
lera
ble
risk
Coe
ffic
ient
of v
aria
tion
of th
e qu
ality
of a
erod
rom
e pa
vem
ent
A d
egre
e of
risk
and
dam
age
I ≥1.1 Б
Areas of the run-
way adjacent to the
edges
0.9 0.1 > 0.05 ≤0.1 Low
II ≥1.0
В Middle of a runway 0.85 0.15 > 0.05
≤0.15 Average
А Edges of a runway 0.8 0.2 > 0.05
Main helipad 0.8 0.2 > 005
Г
Edges of the mid-
dle of a runway
except those adja-
cent to the junction
helipads
0.8 0.2 > 0.05
Б Aircraft parking 0.7 0.3 > 0.05
III ≥0.8 Б Junction helipads 0.7 0.3 > 0.1
≤0.2 High Terminal helipads 0.6 0.4 > 0.1
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Fig. 1. Groups of aerodrome pavement areas:
А — main helipads; runway edges; Б — runway areas adjacent to its edges; auxiliary and junction helipads;
bridge structures, ramps and similar structures used for aircraft parking; В — middle of the runway;
Г — width edges of the middle of the runway except those adjacent to the junction helipads
These all comply with the requirements for the load-bearing capacity but fail to provide flying
safety. It is recommended in [16] that tolerable risk be used as a measure of a level of flying
safety required. Risk is a probability of a damage to life or health of people, property of indi-
viduals and corporations, municipal and state property, environment, life or health of animals
and plants with respect to damage done.
The reasons causing disruptions in flying safety are distress and damage of aerodrome pave-
ments that are to be inspected and monitored within the framework of the risk theory. Opera-
tional durability thus defines a life cycle of the aerodrome pavement Т with certain damage of
a tolerable risk level. Their total number can be found based on the conditions of flying safety
and is established using the acceptable reliability level Рacceptable (see Table 2).
With respect to the analysis performed we propose a classification of linear aerodrome struc-
tures (see Table 2) that is not at odds with the current legislation of the Russian Federation
considering:
liability levels and reliability coefficients according to the requirements [15];
minimum reliability levels for aerodrome pavements consistent with the surveys pre-
sented in [2];
intolerable risk and coefficient of variation of aerodrome quality according to the re-
quirements [16].
Г
Г
В ББb
L
1 4 b1 4 b
1 2 b
1 50
12 L 1
4 L14 L
1 50
А А
Б
А А
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Let us look at a pavement as a system of N0 plates. related to the system, a plate failure is a
damage to it. In order to disrupt the performance of the entire pavement, a runway for exam-
ple, it is necessary that there is a number of distresses that overall lead to an event making fur-
ther flying operation impossible.
The system reliability equals a probability of its unfailing performance which is calculated
using the known formula [2]:
0
0( ) lim О Ot
t ON
N NP t
N
, (7)
where N0 is a total number of plates; Nоt is a number of failed plates in a calculating time in-
terval; t is time.
A more simple formula can be used in practical calculations:
( ) ,Н Н
О Н Ot
N NP tN N N
(8)
where NН is a number of intact plates.
Obviously, just as there can be no absolutely reliable technical systems, there cannot be any
pavements like that either. In the process of the operation of a pavement with Nо plates, by the
time t there is usually NН intact plates and Not failed ones.
Hence
No = NН+Not
is a constant value.
Assumingly, the failed plates are not substituted. A number of failed plates is
NН = No–Not,,
then the expression of reliability can be written as follows:
( ) 1 ,О Ot Ot
O O
N N NP tN N
(9)
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0
0
( ) ,tND tN
(10)
where D(t) is a pavement damage defined with a ratio of a number of the failed (distresses)
plates to a total number of plates on the runway area.
Reliability can also be as follows
( ) 1 ( ).P t D x (11)
Fig. 2 gives a graph of the reliability function that illustrates a probable behaviour of a pave-
ment during its operation.
Fig. 2. Reliability and failure of the pavement
We should not forget, though, that during the pavement operation there may come a moment
when its reliability is less than Pacceptable, i. e. there are distressed plates with distresses with
the values unacceptable according to the safe flying conditions based on [8, 9].
Hence the expression (11) for the pavement area can be written as follows:
0
0
( ) 1 ( ) 1 .tдоп
NP t D x PN
(12)
The formula (12) allows one to determine the reliability of areas of aerodrome pavements
which are classified in Fig. 1.
A degree of a plate’s distress is defined by distresses and their severity. How accurate the as-
sessments of the operational condition are depends on a set of distresses available to be ana-
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lyzed. In the above methods of the assessment of the technical condition of a pavement sur-
face, a number of the distresses considered varies from 3 (the method of signal assessment
using the index Sk) to 18 (the method of determining the complex quality index Кк), which in
turn are divided into groups depending on a degree and effect they have on the operational
condition. Beyond any doubt, an infinite increase in a number of distresses allows for a more
accurate assessment of the technical condition of aerodrome pavements.
However, this approach results in increasing labour costs incurred in the inspection and main-
tenance of pavement and complexity of mathematical analysis. Other than that, the effect cer-
tain distresses have on operational durability (flying safety) is not significant and thus can be
left out of consideration. At the same time, minimizing a number of the parameters (n0) is
also unacceptable, since the result obtained does not reflect the actual condition of aerodrome
pavements. The paper [11] defines a set of distresses that exert a direct influence on flying
safety. They are namely spalling of the edges of the plates, deep raveling, rutting, potholes
and depressions, reinforcement stripping, cracking of the edge of the plates, failure of patch-
ing material.
Therefore, in order to calculate the reliability of a pavement area, it is necessary to determine
a number of distressed plates Not.
A degree of the development of these distresses of a certain plate is estimated from the pers-
pective of the risk theory:
( ) 1 ,P t r (13)
where r is a degree of risk.
A degree of risk of disrupting flying safety due to distresses occurring in aerodrome pave-
ments is evaluated using the ratio [14]
max
2 2max
0,5 ф
ф
Н Нr
, (14)
where Нa is the actual value of distresses; ф is a root-mean-square deviation of the actual
value of distresses; Нmax is a maximum value of distresses when a probability of non-desired
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73
effects is 50 %; max is a root-mean-square deviation of the maximum value of distresses;
Ф(и) is a Laplace function.
Following the results of the statistical calculations, the indices НФ and σф are defined based on
a sufficient number of measurements of the values of distresses occurring in aerodrome
pavements.
The coefficient of the variation of the actual value of a distress фHVC is evaluated using the
following formula:
фН фV
ф
СН
. (15)
The maximum value of a distress Нmax and its root-mean-square deviation max is determined
using the following:
max
max maxН
VС Н , (16)
where maxН
VС is a coefficient of the variation of the maximum value of a distress determined
using
max фН фV
ф
НVС С
Н
, (17)
max
max
22 2 2
max 2
25 1 252 ,
25 1
Ндоп V доп доп доп
доп НV
Н С Н НН Н
С
(18)
where Нacceptable is a maximum permissible value of a distress; доп is a root-mean-square dev-
iation of a maximum permissible value of a distress.
A root-mean-square deviation of the value of a distress is determined using the following
formula:
допН
доп V допС Н . (19)
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In order to assess the reliability of the pavement in areas A, Б, В or Г, it is necessary that risks
ri of the i-th distress on a certain plate is estimated and the obtained value of the reliability for
this area is compared to Pacceptable using Table 1:
( ) 1 .i i допP t r P (20)
If the condition (12) is not met, a plate is deemed distressed.
The value of pavement reliability is generally determined using the ratio
0
0
1 .tдоп
NP PN
(21)
Conclusions
1. Linear structures of aerodromes are classified according to a liability degree in com-
pliance to the Federal Law № 384-ФЗ ‘Technical Safety Regulations for Buildings and Struc-
tures’.
2. It is proposed that the index of operational durability is used as the indicator of opera-
tional and technical condition for time interval of continuous operation of aerodrome pave-
ments Т with certain damages of tolerated risks. Their total number may be found in pave-
ments based on flying safety conditions.
3. Theoretical principles of the assessment of reliability of areas of aerodrome pavements
using the fundamental principles of the reliability and risk theories.
References
1. State Standard (GOST) Р 51901.1-2002. Risk Management. The Analysis of Risk of
Technological Systems (Moscow, 2002) [in Russian].
2. A. P. Vinogradov, Reliability and Certification of Cement Concrete Pavements of Air-
fields (Moscow, 1994) [in Russian].
3. Technique of Determination of Classification Numbers of Aircrafts and Rigid Pave-
ments Airfields of Armed Forces Aviation (Moscow, 1992) [in Russian].
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75
4. Technique for Estimation of Operational Suitability of Pavements of Airfields of Armed
Air Forces (Moscow, 2007) [in Russian].
5. Serviceability Regulations of Civil Airfield Operation (Moscow, 1993) [in Russian].
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(2009), 69—73.
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Russian Federation (Moscow, 2002) [in Russian].
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2008) [in Russian].
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Federal Aviation Rules “Guidelines on Airdrome Operation” (Moscow, 2008) [in Russian].
10. Guidelines on Civil Airdrome Operation in Russian Federation (Moscow, 1995) [in
Russian].
11. E. N. Smirnov, V. S. Sokolov, G. Ya. Klyuchnikov, Diagnostics of Damages of Air
Field Pavements (Moscow, 1984) [in Russian].
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Pavements” (Moscow, 2008) [in Russian].
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tion of Rigid Airfield Pavement Structures (Moscow, 1998) [in Russian].
14. V. V. Stolyarov, “Design of Highways with Consideration for Risk Theory” (Saratov,
1994) [in Russian].
15. The Federal Law N 384-ФЗ “Technical Regulations on Safety of Buildings and Con-
structions” (Moscow, 2009) [in Russian].
16. The Federal Law N 184-ФЗ “On Technical Regulation”, Moscow, 2002, 89 pp.
17. Sanitary Code (SNIP) 32-03-96. Aerodromes (Moscow, 1998) [in Russian].