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    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Hydrocarbon field development forecast based on an integrated approach</article-title>
      </title-group>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>D.A. Zavyalov</institution>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Keldysh Institute of Applied Mathematics RAS</institution>
          ,
          <addr-line>Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Tomsk Polytechnic University</institution>
          ,
          <addr-line>Tomsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>A hydrocarbon field is a large and complex system, which functioning is possible only in accordance with a project document that defines the main characteristics for the entire period of field development. Therefore, the quality of the project document largely determines the efficiency of the field system functioning. The last stage in creating a project document for the development of a field is an economic assessment. According to the experience of designing the development of hydrocarbon fields, up to 50% of capital investments are the costs of drilling new wells of various types. Thus, the economic efficiency of field development is largely determined by the volume of drilling new wells. The article presents an integrated approach to modeling the development of hydrocarbon deposits in making a production forecast. Such an integrated approach involves performing a rapid economic assessment using Economics software which allows you to calculate the main economic indicators of field development. Thus, it reduces the total number of iterations for setting the forecast for field development strategy by an average of 25% as well as improves the economic characteristics of the whole project.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>The complexity of the structure of such a system as
hydrocarbon deposits, as well as the complexity of the
management processes of such a system, determine the
importance of strategic planning. The development of
hydrocarbon deposits is carried out in accordance with the
project document, which is a long-term field development
strategy and states the number of drilling of new wells,
volumes of hydrocarbon production, the need and volume
of construction of new infrastructure facilities (such as
pipelines, living and working spaces, power plants and
others) and new research (seismic, exploration drilling,
borehole surveys and more) volumes.</p>
      <p>Therefore, the quality of the field development forecast
is the determining function of efficiency of the functioning
of such a complex system. The forecast is drawn up for the
entire period of field development and must take into
account the influence and interaction of all components of
the hydrocarbon field system, as well as adjacent systems.
However, the existing approaches to managing field
development have a number of significant drawbacks:
disunity of specialists, multivariance and iterativeness of
designing stages, dependence of the result of each stage on
the quality of previous ones.</p>
      <p>So, to increase the efficiency of hydrocarbon field
development management, an integrated approach to the
process of formation of a development strategy is required.</p>
    </sec>
    <sec id="sec-2">
      <title>2. Integrated approach to modeling development of hydrocarbon deposits the</title>
      <p>In general, the process of project management of
hydrocarbon field development is a sequence of stages
presented on Fig. 1. This process involves the sequential
execution of the following stages:
• processing of initial data (including data verification
and formatting);
• geological modeling of the field (construction of a
geological static model for assessing the structure of
the field and calculating the volume of hydrocarbon
reserves);
• hydrodynamic modeling (construction of a
hydrodynamic model of the field based on geological
model);
• development forecast (calculation of several forecast
variants for field development strategy based on a
hydrodynamic model);
• economic assessment of the forecast (calculation of
economic indicators of forecast variants for field
development strategy).</p>
      <p>Fig. 1. Stages of the project management process for
hydrocarbon field development</p>
      <p>The result of presented sequence of stages is a project
document for the development of the field.</p>
      <p>The main types of projects are the calculation of
hydrocarbon reserves (assumes the implementation of
stages S1-S2) and the forecast of field development
(assumes the implementation of the entire chain of stages
S1-S6).</p>
      <p>Stages S2, S4, S5 are variable (require a lot of variants
for decision making) and iterative (each variant is
calculated many times till the satisfactory result is
obtained), and unsatisfactory results of stages S3, S5 may
require returning to the previous stages (arrows (1) and (2)
on Figure 1) in order to correct some options or completely
change the approach to development design.</p>
      <p>
        The most time-consuming is stage S4 - development
forecast, the result of which becomes a long-term strategy
for the functioning of the field. When performing this
stage, iterative modeling of a number of field development
forecast variants (the number of variants depends on the
complexity of the structure of the field and can be several
dozen) is used [
        <xref ref-type="bibr" rid="ref1 ref2">1, 2</xref>
        ].
      </p>
      <p>For example, at one of the fields in the Tomsk Region
there are 4 reservoirs by different in properties, for each of
which 3 variants are first calculated to select the system
for placing project wells, and then for the selected
placement system for each reservoir 4 more variants are
calculated to select the optimal operating modes for
project wells. Thus, the total number of variants is 28,
while the average number of tuning iterations of one
variant is 10. The time of one iteration includes the time of
calculating the model and setting its parameters and varies
from several hours to a week depending on the complexity
and dimension of the model, the number of phases and
other parameters. All this determines the laboriousness of
obtaining a field development forecast.</p>
      <p>As experience in the implementation of hydrocarbon
field development projects shows, economic profitability
is largely determined by the volume of well drilling, since
up to 50% of the capital investment is in drilling the
production and injection wells.</p>
      <p>
        Figs. 2 and 3 show the example structure of capital
investments in the development of one of the real deposits
in the Tomsk region [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. In this example, the project costs
for drilling new wells in 2021-2025 (during this period, the
main part of the forecast wells was drilled) ranged from
30% to 80% of the amount of capital investments (Figure
2), while the total costs for the entire period reached 44%
(Figure 3) of the total amount of capital investments to
field development.
      </p>
      <p>
        If we talk about economic factors which the most
strongly influence on the development of the field,
external macroeconomic indicators should also be
distinguished, however, they are difficult to predict and
cannot be changed. Such indicators must be incorporated
into the project to reduce uncertainties [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ].
      </p>
      <p>Fig. 3. An example of the structure of total capital investments
in the development of an oil field</p>
      <p>The cost of extracting one ton of raw material is
characterized by such an indicator as a ton of unit fuel. The
value of this indicator at the end of the development period
as production levels fall, increases (see Figure 4). Thus,
the maintenance of a low-rate well becomes unprofitable.
However, an incorrect determination of the location of the
well drilling may lead to the fact that the low oil
production rate obtained in it will not allow to recoup the
cost of its drilling. Therefore, it is necessary to exclude
obviously ineffective (from an economic point of view)
wells from the forecast variants for the development of the
field in order to increase the overall cost-effectiveness of
the development variant.</p>
      <p>To reduce the interactiveness of predictive modeling,
it is necessary to consider economic parameters at the
stage of formation of development variants:
• accounting of capital investments: drilling wells
(calculation of penetration depth depending on the
type of well), tacking (number of bushes and
machines used simultaneously), arrangement of
infrastructure (necessary and available capacities);
• operating costs: development time, production and
injection levels.</p>
      <p>Accounting of capital investments in the development
project along with unit hydrocarbon production at the well
placement stage allows us to evaluate the feasibility of
drilling exact wells.</p>
      <p>
        The main criteria for choosing a forecast well
placement system can be divided into several groups. The
selection criteria for the well placement system (in-line,
three-point, five-point, nine-point, selective) are usually
determined by the existing experience in developing this
type of reservoir and the proven placement system is used.
Different well placement systems are characterized by a
different ratio of production and injection wells (which is
important for maintaining reservoir pressure), some of the
systems have the possibility of transformability (one
system can be transformed into another by changing the
type of some of the wells or by drilling extra ones). To
select the optimal distance between the wells in the
system, several variants are calculated [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ].
      </p>
      <p>The main criteria for selecting locations for new
production wells include:
• distance from the oil-water contact (conditional
surface separating oil and water in the oil reservoir
and determining the ratio of water and oil in the
fluid produced by wells at the field);
• effective oil-saturated thickness (reservoir power
determines the volume of hydrocarbons in the
reservoir and as a consequence well production
rate).</p>
      <p>It should be considered that the grid of wells should be
regular and correspond to one of the existing systems of
well arrangements. However, in some cases it is necessary
to use selective well placement systems (high density of
existing wells, non-standard form of the reservoir or its
small area).</p>
      <p>The choice of the type of well (directional, horizontal
or sidetrack) is based on the geological and geophysical
conditions of the formation. For example, with high
ruggedness it is not practical to drill horizontal wells, but
the coverage of such wells is higher than directional wells
which makes it possible to obtain a higher oil production
rate during well operation and, therefore, to reduce the cost
of extracting each ton of liquid, also horizontal wells
increase the density of the well grid.</p>
      <p>
        To form an effective development management
strategy for predictive modeling, development options are
configured in accordance with the criteria, some of which
are regulated (mandatory) on the state level [
        <xref ref-type="bibr" rid="ref6 ref7">6, 7</xref>
        ], the
others are set by the subsoil user or dictated by the
operating conditions of the field, as well as its parameters.
For example, it must be considered that many fields are
characterized by severe climatic conditions, which
imposes a number of restrictions on the intensity of drilling
of new wells due to the seasonality of work. The variant
recommended for approval must meet the requirements of
regulatory documents (established by the government):
achieving an approved oil recovery factor (the proportion
of hydrocarbon reserves that are technically possible to
extract), water cut of 98% (the percentage of water content
in the produced fluid to shutdown both individual
production wells and the entire field), minimum well
production, production compensation, etc. This variant
may not have economic profitability, which is
disadvantageous for the subsoil user. Also, restrictions are
imposed by the models themselves or the simulators used.
      </p>
      <p>It is proposed to supplement the algorithm for
predictive modeling of field development with a new unit
for performing a rapid economic assessment S'5 of the
results of calculation iteration (see Fig. 5). Thus, advanced
production forecast stage S'4 can be represented as:
where</p>
      <p>S'4 = S4 ∪ S'5,
S'5 ⸦ S5.
(1)
(2)</p>
      <p>At the same time, adding an additional block to the
algorithm does not significantly affect the iteration
execution time, but it allows significantly reduce the total
number of iterations when setting up the S'4 development
forecast by introducing additional restrictions on the
placement of forecast production wells: setting boundary
conditions by involving the economic component of the
project.</p>
      <p>The proposed algorithm uses GDM-Tool software
(certificate of state registration of a computer program №
2011616248 «GDM-Tool») for well placement S41
(depending on the location of the oil-water contact contour
and the distribution of oil-saturated thicknesses), setting
drilling and operating schedules, as well as operating
modes S42 of project wells.</p>
      <p>The first iteration of product forecast calculation
allows you to get estimated indicators of production levels
(starting production and cumulative production of each
well) and calculate estimated economic indicators. Based
on the obtained data, the forecasted fund of production
wells is optimized by eliminating inefficient or obviously
unprofitable ones, thereby reducing the number of
iterations when setting up a development variant further.</p>
      <p>Software Economics (certificate of state registration of
a computer program № 2019611730 «Economic rapid
assessment of the results of predictive modeling of the
development of oil and gas fields (Economics)») is used to
perform rapid economic assessment S'5. It allows you to
calculate the main economic indicators of development, as
well as to calculate the minimum cost-effective production
rate of forecast wells and the minimum cost-effective
effective oil-saturated thickness for placing wells for a
given field. Thus, it becomes possible to perform
adjustment of the prediction well arrangement to reduce
the interactiveness of the predictive modeling process.</p>
    </sec>
    <sec id="sec-3">
      <title>Results</title>
      <p>To assess the effectiveness of the proposed integrated
approach, data on 9 field development projects in the
Tomsk region, completed in different years, was used. The
deposits are distinguished by the complexity of their
geological structure, different depths of occurrence of
productive strata, properties of fluids, degree of
exploration and development. Each dataset includes both
the complete initial datasets for building models and
forecasting development, as well as geological and
simulation models and forecasts that have passed
government expertise and have been approved as field
development strategies.</p>
      <p>The forecast variants for hydrocarbon field
development were tuned until acceptable indicators were
achieved according to the existing algorithm and
according to the improved algorithm with the new block
of rapid economic assessment. Evaluation of the
effectiveness of the proposed approach was carried out by
counting the number of iterations of the calculation of one
forecast variant for development strategy of hydrocarbon
field.</p>
      <p>The results are shown in Table 1. For various sets of
test data (field development projects), the average number
of iterations for setting up production forecast variants for
field development was reduced by 15.8% to 35.6%.
Data set</p>
      <p>Due to the use of the advanced algorithm with rapid
economic assessment, the average number of iterations to
configurate one forecast variant was reduced by 25% (see
Fig. 6), which allows us to quickly and with less labor to
obtain a design solution for developing a field.</p>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>Thus, the use of the rapid economic assessment of
hydrocarbon field development forecast variants based on
an integrated approach made it possible to advance the
existing forecast modeling algorithm and reduce the
number of iterations for adjusting the development
forecast variant by an average of 25%.</p>
      <p>In addition, taking into account the large number of
field development forecast variants (which, as in the above
example, can reach several tens) considered in the
designing process in absolute terms, the reduction in
decision-making time in field management is significant.</p>
      <p>Moreover, the application of this approach has made it
possible to significantly reduce the total volume of capital
investments (most of which are precisely the costs of
drilling new wells of different types) in field development
projects by optimizing the design well stock and thus to
improve the economic characteristics of the whole
hydrocarbon field development project.</p>
      <p>The reported study was funded by RFBR, project
number 18-41-700001.</p>
    </sec>
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