<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "https://jats.nlm.nih.gov/publishing/1.3/JATS-journalpublishing1-3.dtd">
<article article-type="research-article" dtd-version="1.3" xml:lang="en">
  <front>
    <journal-meta>
      <journal-id journal-id-type="elibrary">33407</journal-id>
      <journal-title-group>
        <journal-title>Construction of Unique Buildings and Structures</journal-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Строительство уникальных зданий и сооружений</trans-title>
        </trans-title-group>
      </journal-title-group>
      <issn pub-type="epub">2304-6295</issn>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">4</article-id>
      <article-id pub-id-type="doi">10.4123/CUBS.122.4</article-id>
      <title-group>
        <article-title>Thermal impact of buildings on the ground in quasi-stationary approximation</article-title>
        <trans-title-group xml:lang="ru">
          <trans-title>Thermal impact of buildings on the ground in quasi-stationary approximation</trans-title>
        </trans-title-group>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <contrib-id contrib-id-type="orcid">0000-0002-5156-7352</contrib-id>
          <contrib-id contrib-id-type="scopus">56352359500</contrib-id>
          <contrib-id contrib-id-type="researcherid">G-1611-2018</contrib-id>
          <name>
            <surname>Korniyenko</surname>
            <given-names>Sergey Valeryevich</given-names>
          </name>
          <xref ref-type="aff" rid="aff1"/>
          <email>svkorn2009@yandex.ru</email>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Brekhov</surname>
            <given-names>Egor Mikhaylovich</given-names>
          </name>
          <email>egor.brehov@yandex.ru</email>
        </contrib>
      </contrib-group>
      <aff id="aff1">Volgograd State Technical University</aff>
      <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-02-25">
        <day>25</day>
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <issue>2</issue>
      <issue-id pub-id-type="publisher-id">122</issue-id>
      <fpage>12204</fpage>
      <lpage>12204</lpage>
      <abstract xml:lang="en">
        <p>The object of research is a ground as a component of the environment. There are no methods for calculating the thermal impact of buildings on the soil mass in a quasi-stationary approximation. This makes it difficult to solve the urgent problem of finding new solutions for energy-efficient planning formations (microdistricts, quarters) that account for the complex thermal effects of buildings on the ground. Method. The new method of calculating the thermal impact of buildings on the soil mass is based on the classical triad: mathematical model, computational algorithm, and computer program. Results. A universal mathematical model of heat transfer in soil has been developed that allows the construction of a temperature field from a single heat source, multiple sources, and their combinations. The analytical solution of the problem was obtained based on the Forkheimer method, which describes the temperature field in the soil from a point source in a quasi-stationary approximation. A calculation algorithm was built, a computer program was drawn up, data verification was carried out, and the temperature regime of point and flat elements in contact with the soil was simulated. The results obtained for the first time reveal the patterns of thermal impact of a group of buildings on a soil mass. The resulting temperature field is a superposition of the temperature fields from each building. The temperature field is smoothed, which indicates a decrease in heat loss through the edge zones of the floor slab on the ground. The imposition of temperature fields from several buildings increases their energy efficiency. The implementation of the results of the work will increase the level of design solutions aimed at creating comfortable living conditions in the cities of Russia, as well as obtain a significant economic effect both at the stage of construction and reconstruction of neighborhoods, and in the process of subsequent operation of buildings.</p>
      </abstract>
      <kwd-group xml:lang="en">
        <kwd>Thermal impact</kwd>
        <kwd>Building</kwd>
        <kwd>Ground</kwd>
        <kwd>Mathematical modeling</kwd>
        <kwd>Algorithm</kwd>
        <kwd>Computer program</kwd>
        <kwd>Verification</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <back>
    <ref-list>
      <title>References</title>
      <ref id="ref1">
        <mixed-citation publication-type="journal">Liu, Y., Azhar, M., Yang, L. and Chen, Y. (2025) Sustainable passive design in cold regions : Energy and thermal evaluation of traditional Zhuangke dwellings — in Qinghai Province, China. Energy and Buildings, 344, 115969. https://doi.org/10.1016/j.enbuild.2025.115969</mixed-citation>
      </ref>
      <ref id="ref2">
        <mixed-citation publication-type="journal">Tabunshchikov, Y.A. and Brodach, M.M. (2020) Optimization problems of mathematical modelling of a building as a unified heat and power system. International Journal for Computational Civil and Structural Engineering, 16, 156–161. https://doi.org/10.22337/2587-9618-2020-16-1-156-161</mixed-citation>
      </ref>
      <ref id="ref3">
        <mixed-citation publication-type="journal">Theodosiou, T.G. and Papadopoulos, A.M. (2008) The impact of thermal bridges on the energy demand of buildings with double brick wall constructions. Energy and Buildings. 2008. 40, 2083–2089. https://doi.org/10.1016/j.enbuild.2008.06.006</mixed-citation>
      </ref>
      <ref id="ref4">
        <mixed-citation publication-type="journal">Larochelle Martin, G. and Monfet, D. (2024) Comparison of EnergyPlus inside surfaces convective heat transfer coefficients algorithms for energy modelling of high-density controlled environment agriculture. Energy and Buildings, 319, 114568. https://doi.org/10.1016/j.enbuild.2024.114568</mixed-citation>
      </ref>
      <ref id="ref5">
        <mixed-citation publication-type="journal">Caruso, L., Buhagiar, V., Larcher, M., Paul Borg, S. and Bottino-Leone, D. (2024) Validation of 3D thermal simulations of the Double C Block, a novel composite masonry unit, using in-situ U-value measurements. Energy and Buildings, 325, 114956. https://doi.org/10.1016/j.enbuild.2024.114956</mixed-citation>
      </ref>
      <ref id="ref6">
        <mixed-citation publication-type="journal">Wijesuriya, S., Kishore, R.A., Mitchell, M. and Booten, C. (2025) Enhancing EnergyPlus capabilities to model dynamic building envelopes using python plugin ☆. Energy and Buildings, 339, 115776. https://doi.org/10.1016/j.enbuild.2025.115776</mixed-citation>
      </ref>
      <ref id="ref7">
        <mixed-citation publication-type="journal">Guo, C., Yan, H. and Chen, C. (2026) Automatic code generation method for building a co-simulation platform integrating building automatic systems and EnergyPlus. Energy and Buildings, 351, 116667. https://doi.org/10.1016/j.enbuild.2025.116667</mixed-citation>
      </ref>
      <ref id="ref8">
        <mixed-citation publication-type="journal">Bakkour, A., Ouldboukhitine, S., Biwole, P. and Amziane, S. (2026) Thermal mass vs. insulation trade-off in bio-based buildings : Climate-dependent energy performance of hemp, straw, and wood-based constructions. Energy and Buildings, 358, 117234. https://doi.org/10.1016/j.enbuild.2026.117234</mixed-citation>
      </ref>
      <ref id="ref9">
        <mixed-citation publication-type="journal">Sheps, R., Golovinsky, P., Yaremenko, S. and Shchukina, T. (2021) New passive solar panels for Russian cold winter conditions. Energy and Buildings, 248, 111187. https://doi.org/10.1016/j.enbuild.2021.111187</mixed-citation>
      </ref>
      <ref id="ref10">
        <mixed-citation publication-type="journal">Alhawari, A. and Mukhopadhyaya, P. (2025) Mitigating balcony thermal bridging: Experimental and numerical investigation of innovative solutions for energy-efficient building envelopes. Energy and Buildings, 328, 115152. https://doi.org/10.1016/j.enbuild.2024.115152</mixed-citation>
      </ref>
      <ref id="ref11">
        <mixed-citation publication-type="journal">Guattari, C., Cristo, E. De, Evangelisti, L., Gori, P., Jacoby, R., Fabiani, C. and Laura, A. (2025) Thermal characterization of building walls using an equivalent modeling approach. Energy and Buildings, 329, 115226. https://doi.org/10.1016/j.enbuild.2024.115226</mixed-citation>
      </ref>
      <ref id="ref12">
        <mixed-citation publication-type="journal">Chen, X., Chun, Q., Bossche, N. Van Den. (2025) Thermal performance of traditional cavity walls : Accounting for complex cavity geometry and bonding variability. Energy and Buildings, 341, 115816. https://doi.org/10.1016/j.enbuild.2025.115816</mixed-citation>
      </ref>
      <ref id="ref13">
        <mixed-citation publication-type="journal">Chen, J., Huang, Y., Liu, G., Chen, H., Liang, Y., Rashad, A.M., Liu, J., Zhang, J. and Wang, W. (2025) Performance regulation of ultra-lightweight autoclaved aerated concrete by metakaolin and its impact on energy efficiency in thermal insulation walls. Energy and Buildings, 348, 116374. https://doi.org/10.1016/j.enbuild.2025.116374</mixed-citation>
      </ref>
      <ref id="ref14">
        <mixed-citation publication-type="journal">Vatin, N. and Korniyenko, S.V. (2022) Energy performance of buildings made of textile-reinforced concrete (TRC) sandwich panels. Magazine of Civil Engineering, 113. https://doi.org/10.34910/MCE.113.3</mixed-citation>
      </ref>
      <ref id="ref15">
        <mixed-citation publication-type="journal">Korniyenko, S., Dubov, I. and Nazarov, K. (2023) Field study of thermal comfort in dwelling during the winter, mid-season and summer. Magazine of Civil Engineering, 121. https://doi.org/10.34910/MCE.121.1</mixed-citation>
      </ref>
      <ref id="ref16">
        <mixed-citation publication-type="journal">Evola, G., Margani, G. and Marletta, L. (2011) Energy and cost evaluation of thermal bridge correction in Mediterranean climate. Energy and Building, 43, 2385–2393. https://doi.org/10.1016/j.enbuild.2011.05.028</mixed-citation>
      </ref>
      <ref id="ref17">
        <mixed-citation publication-type="journal">Li, H., Wang, Z., Hong, T. and Piette, M.A. (2021) Energy flexibility of residential buildings: A systematic review of characterization and quantification methods and applications. Advances in Applied Energ, 3, 100054. https://doi.org/10.1016/j.adapen.2021.100054</mixed-citation>
      </ref>
      <ref id="ref18">
        <mixed-citation publication-type="journal">Aguilar, F., Solano, J.P. and Vicente, P.G. (2014) Transient modeling of high-inertial thermal bridges in buildings using the equivalent thermal wall method. Applied Thermal Engineering, 67, 370–377. http://doi.org/10.1016/j.applthermaleng.2014.03.058</mixed-citation>
      </ref>
      <ref id="ref19">
        <mixed-citation publication-type="journal">Janssen, H., Carmeliet, J. and Hens, H. (2004) The influence of soil moisture transfer on building heat loss via the ground. Building and Environment, 39, 825–836. https://doi.org/10.1016/j.buildenv.2004.01.004</mixed-citation>
      </ref>
      <ref id="ref20">
        <mixed-citation publication-type="journal">Dos Santos, G.H. and Mendes, N. (2014) Hygrothermal bridge effects on the performance of buildings. International Communications in Heat and Mass Transfer, 53, 133–138. https://doi.org/10.1016/j.icheatmasstransfer.2014.02.018</mixed-citation>
      </ref>
      <ref id="ref21">
        <mixed-citation publication-type="journal">Thang, V., Gunalan, S., Woodfield, P., Doh, J., Baker, M. and Stringfellow, J. (2026) Thermal performance of aluminium-timber composite frames in curtain wall systems. Energy and Buildings, 357, 117169. https://doi.org/10.1016/j.enbuild.2026.117169</mixed-citation>
      </ref>
      <ref id="ref22">
        <mixed-citation publication-type="journal">Quinten, J. and Feldheim, V. (2019) Mixed equivalent wall method for dynamic modelling of thermal bridges : Application to 2-D details of building envelope. Energy and Buildings, 183, 697–712. https://doi.org/10.1016/j.enbuild.2018.11.004</mixed-citation>
      </ref>
      <ref id="ref23">
        <mixed-citation publication-type="journal">Baba, F. and Ge, H. (2016) Dynamic effect of balcony thermal bridges on the energy performance of a high-rise residential building in Canada. Energy and Buildings, 116, 78–88. https://doi.org/10.1016/j.enbuild.2015.12.044</mixed-citation>
      </ref>
      <ref id="ref24">
        <mixed-citation publication-type="journal">Korniyenko, S.V. (2018) Renovation of Residential Buildings of the First Mass Series. IOP Conference Series: Materials Science and Engineering, 463. https://doi.org/10.1088/1757-899X/463/2/022060</mixed-citation>
      </ref>
      <ref id="ref25">
        <mixed-citation publication-type="journal">Korniyenko, S. and Brekhov, E. (2025) Slab-on-Grade Thermal Benefits in Green Residential Buildings. Proceedings of the 8th International Conference on Construction, Architecture and Technosphere Safety, 565, 550–559. https://link.springer.com/chapter/10.1007/978-3-031-80482-3_52</mixed-citation>
      </ref>
      <ref id="ref26">
        <mixed-citation publication-type="journal">Saied, A. El, Maalouf, C., Bejat, T. and Wurtz, E. (2022) Slab-on-grade thermal bridges: A thermal behavior and solution review. Energy and Buildings, 257, 111770. https://doi.org/10.1016/j.enbuild.2021.111770</mixed-citation>
      </ref>
      <ref id="ref27">
        <mixed-citation publication-type="journal">Lind, J., Möllerström, E., Averfalk, H. and Ottermo, F. (2023) Energy flexibility using the thermal mass of residential buildings. Energy and Buildings, 301. https://doi.org/10.1016/j.enbuild.2023.113698</mixed-citation>
      </ref>
      <ref id="ref28">
        <mixed-citation publication-type="journal">Vatin, N., Korniyenko, S. V., Gorshkov, A.S., Pestryakov, I.I. and Olshevskiy, V. (2020) Actual thermophysical characteristics of autoclaved aerated concrete. Magazine of Civil Engineering, 96, 129–137. https://engstroy.spbstu.ru/article/2020.96.11</mixed-citation>
      </ref>
      <ref id="ref29">
        <mixed-citation publication-type="journal">Baglivo, C. and Congedo, P.M. (2019) Optimization of high efficiency slab-on-ground floor by multi-objective analysis for zero energy buildings in mediterranean climate. Journal of Building Engineering, 24, 100733. https://doi.org/10.1016/j.jobe.2019.100733</mixed-citation>
      </ref>
      <ref id="ref30">
        <mixed-citation publication-type="journal">Tariku, F. and Hemmati, F. (2023) RC-Network based thermal bridge calculation method for transient heat transfer analysis of multidimensional building envelope details : A frequency response analysis-based method. Energy and Buildings, 300, 113648. https://doi.org/10.1016/j.enbuild.2023.113648</mixed-citation>
      </ref>
      <ref id="ref31">
        <mixed-citation publication-type="journal">Gutiérrez, V., Ramos, G. and Fernández, C. (2022) Ground characterization of building energy models. Energy and Buildings, 254. https://doi.org/10.1016/j.enbuild.2021.111565</mixed-citation>
      </ref>
      <ref id="ref32">
        <mixed-citation publication-type="journal">Li, Z., Sun, Y., Wang, W. and Wei, W. (2025) An improved equivalent temperature drop method for evaluating the operating performances of ASHP units under frosting conditions considering their configuration and operation Coefficient of Performance. Energy and Buildings, 331, 115370. https://doi.org/10.1016/j.enbuild.2025.115370</mixed-citation>
      </ref>
      <ref id="ref33">
        <mixed-citation publication-type="journal">Kang, X., Yan, D., Xie, X., An, J. and Liu, Z. (2022) Co-simulation of dynamic underground heat transfer with building energy modeling based on equivalent slab method. Energy and Buildings, 256, 111728. https://doi.org/10.1016/j.enbuild.2021.111728</mixed-citation>
      </ref>
      <ref id="ref34">
        <mixed-citation publication-type="journal">Tian, Z., Liu, R., Lu, Y., Niu, J., Zhou, H., Han, X., Michulec, D. and Bednar, T. (2026) A rapid assessment method for the thermal mass energy storage capacity of building clusters. Energy and Buildings, 358, 117214. https://doi.org/10.1016/j.enbuild.2026.117214</mixed-citation>
      </ref>
      <ref id="ref35">
        <mixed-citation publication-type="journal">Zabihi, A., Crespo, A., Baquero, G. and Gracia, A. De. (2026) Numerical analysis of a glassed dynamic PCMs solar wall. Energy and Building, 353, 116895. https://doi.org/10.1016/j.enbuild.2025.116895</mixed-citation>
      </ref>
      <ref id="ref36">
        <mixed-citation publication-type="journal">Zemitis, J., Borodinecs, A., Bogdanovics, R. and Geikins, A. (2021) A case study of thermal comfort in a temporary shelter. Journal of Sustainable Architecture and Civil Engineering, 29, 139–149. https://doi.org/10.5755/j01.sace.29.2.29240</mixed-citation>
      </ref>
      <ref id="ref37">
        <mixed-citation publication-type="journal">Borodinecs, A., Prozuments, A., Zajacs, A. and Zemitis, J. (2019) Retrofitting of fire stations in cold climate regions. Magazine of Civil Engineerin, 90, 85–92. https://doi.org/ 10.18720/MCE.90.8</mixed-citation>
      </ref>
      <ref id="ref38">
        <mixed-citation publication-type="journal">Rasooli, A. and Itard, L. (2020) Automated in-situ determination of buildings’ global thermo-physical characteristics and air change rates through inverse modelling of smart meter and air temperature data. Energy and Buildings, 229. https://doi.org/10.1016/j.enbuild.2020.110484</mixed-citation>
      </ref>
      <ref id="ref39">
        <mixed-citation publication-type="journal">Korniyenko, S.V., Brekhov, E.M., Tkachev, M.S. and Tkachev, S.A. (2024) Impact of slab edge zones on slab-on-grade heat losses. Construction of Unique Buildings and Structures, 11306. https://doi.org/10.4123/CUBS.113.6</mixed-citation>
      </ref>
    </ref-list>
  </back>
</article>
