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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">nsojout</journal-id><journal-title-group><journal-title xml:lang="ru">Строительство: наука и образование</journal-title><trans-title-group xml:lang="en"><trans-title>Construction: Science and Education</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2305-5502</issn><publisher><publisher-name>ФГБОУ ВО «Национальный исследовательский Московский государственный строительный университет»</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22227/2305-5502.2024.2.6-17</article-id><article-id custom-type="elpub" pub-id-type="custom">nsojout-168</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Строительные конструкции. Основания и фундаменты. Технология и организация строительства. Проектирование зданий и сооружений. Инженерные изыскания и обследование зданий</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Building structures. Soils and foundations. Technology and organization of construction. Designing of buildings and constructions. Engineering survey and inspection of buildings</subject></subj-group></article-categories><title-group><article-title>Фильтрация дамбы верхнего бассейна гидроаккумулирующей станции</article-title><trans-title-group xml:lang="en"><trans-title>Filtration of the dam of the PSPP upper basin</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Анискин</surname><given-names>Н. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Aniskin</surname><given-names>N. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Николай Алексеевич Анискин — доктор технических наук, профессор, директор Института гидротехнического и энергетического строительства</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p></bio><bio xml:lang="en"><p>Nikolai A. Aniskin — Doctor of Technical Sciences, Professor, Director of the Institute of Hydraulic Engineering and Energy Construction</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p></bio><email xlink:type="simple">aniskin@mgsu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ступивцев</surname><given-names>А. В.</given-names></name><name name-style="western" xml:lang="en"><surname>Stupivtsev</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Андрей Владимирович Ступивцев — аспирант</p><p>129337, г. Москва, Ярославское шоссе, д. 26</p></bio><bio xml:lang="en"><p>Andrey V. Stupivtsev — postgraduate student</p><p>26 Yaroslavskoe shosse, Moscow, 129337</p></bio><email xlink:type="simple">StupivtsevAV@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Национальный исследовательский Московский государственный строительный университет (НИУ МГСУ)<country>Россия</country></aff><aff xml:lang="en">Moscow State University of Civil Engineering (National Research University) (MGSU)<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>28</day><month>06</month><year>2024</year></pub-date><volume>14</volume><issue>2</issue><fpage>6</fpage><lpage>17</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Анискин Н.А., Ступивцев А.В., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Анискин Н.А., Ступивцев А.В.</copyright-holder><copyright-holder xml:lang="en">Aniskin N.A., Stupivtsev A.V.</copyright-holder><license license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.nso-journal.ru/jour/article/view/168">https://www.nso-journal.ru/jour/article/view/168</self-uri><abstract><sec><title>Введение</title><p>Введение. Грунтовые плотины и дамбы из мелкозернистых грунтов являются распространенными сооружениями. Их широкое использование в гидротехническом строительстве объясняется экономичностью вследствие применения местных материалов. Часто в таких конструкциях используются глинистые грунты как для укладки в призмы плотины, так и для устройства противофильтрационных элементов. Однако укладка глинистого грунта сопряжена с некоторыми ограничениями, связанными с климатическими условиями строительства. Это сказывается на времени строительства и в конечном итоге — на стоимости сооружения. Рассмотрена возможность замены части глинистого грунта дамбы на песчаный грунт, укладка которого не зависит в такой степени от погодных условий. Такая замена требует дополнительной проверки сооружения с точки зрения ее фильтрационной работоспособности. Проведено исследование фильтрационного режима дамбы бассейна гидроаккумулирующей станции (ГАЭС), возведенной с использованием всепогодной технологии укладки грунта. Рассматривались ограждающая дамба бассейна ГАЭС из смешанных грунтов на нескальном основании высотой 32,0 м, заложением верхового откоса 1:6,0, низового откоса — 1:3,5; 9 вариантов конструкции с различными конструктивными элементами.</p></sec><sec><title>Материалы и методы</title><p>Материалы и методы. Расчеты фильтрации грунтовой плотины для установившегося и неустановившегося режимов плотины проведены численным методом конечных элементов в локально-вариационной постановке с помощью программного комплекса FILTR.</p></sec><sec><title>Результаты</title><p>Результаты. Для рассмотренных вариантов конструкции земляной дабы получены параметры фильтрационного потока: положение депрессионной кривой, величины фильтрационного расхода и градиента. Сделаны рекомендации по выбору конструкции.</p></sec><sec><title>Выводы</title><p>Выводы. Исследования показали, что возможно использовать смешанный грунт, укладываемый по всепогодной технологии, в призмах грунтовой дамбы вместо части глинистого грунта при их послойной укладке. Фильтрационный режим сооружения совместно с основанием при этом не вызывает опасения.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. Ground dams and levees made of fine-grained soils are very common structures. Their widespread use in hydraulic engineering is explained by their cost-effectiveness due to the use of local materials. Clay soils are often used in such structures both for laying in the prisms of the dam and for the installation of anti-filtration elements. However, the laying of clay soil is associated with some restrictions related to the climatic conditions of construction. During the rainy period or during the period of snowfall and exposure to negative temperatures, the laying of such soil slows down due to the need to apply special measures, or stops altogether. This affects the time of construction and, ultimately, the cost of construction. The possibility of replacing part of the clay soil of the dam with sandy soil, the laying of which does not depend to such an extent on weather conditions, is considered. However, such a replacement requires additional verification of the structure in terms of its filtration capacity. A study of the filtration regime of the dam of the basin of the PSPP, built using all-weather technology of soil laying, was carried out. The parameters of the filtration flow for various design variants are obtained. Recommendations are given on the choice of an option for an underground dam. The enclosing dam of the PSPP basin made of mixed soils on a non-slip foundation with a height of 32.0 m, laying an upper slope of 1:6.0, and a lower slope of 1:3.5 was considered. 9 design options with various structural elements were considered.</p></sec><sec><title>Materials and methods</title><p>Materials and methods. Calculations of soil dam filtration for steady state and unsteady dam regimes were carried out using the numerical finite element method in the local variational formulation using the FILTR software package.</p></sec><sec><title>Results</title><p>Results. As a result of the research, the parameters of the filtration flow were obtained for the considered variants of the earthwork design: the position of the depression curve, the values of the filtration flow rate and the gradient. Recommendations on the choice of design are made.</p></sec><sec><title>Conclusions</title><p>Conclusions. Studies have shown that it is possible to use mixed soil laid using all-weather technology in the prisms of a soil dam instead of part of the clay soil when they are layered. At the same time, the filtration regime of the structure together with the foundation does not cause concern.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>земляная дамба</kwd><kwd>фильтрационный поток</kwd><kwd>депрессионная кривая</kwd><kwd>фильтрационный расход</kwd><kwd>градиент фильтрации</kwd><kwd>численные методы расчета</kwd><kwd>метод конечных элементов</kwd></kwd-group><kwd-group xml:lang="en"><kwd>earthen dam</kwd><kwd>filtration flow</kwd><kwd>depression curve</kwd><kwd>filtration flow rate</kwd><kwd>filtration gradient</kwd><kwd>numerical calculation methods</kwd><kwd>finite element method</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Adamo N., Al-Ansari N., Sissakian V., Laue J., Knutsson S. Dam safety problems related to seepage // Journal of Earth Sciences and Geotechnical Engineering. 2020. Vol. 10. Issue 6. Pp. 191–239.</mixed-citation><mixed-citation xml:lang="en">Adamo N., Al-Ansari N., Sissakian V., Laue J., Knutsson S. Dam safety problems related to seepage. Journal of Earth Sciences and Geotechnical Engineering. 2020; 10(6):191-239.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Fattah M.Y., Omran H.A., Hassan M.A. Behavior of an earth dam during rapid drawdown of water in reservoir — case study // International Journal of Advanced Research. 2015. Vol. 3. Issue 10. Pp. 110–122.</mixed-citation><mixed-citation xml:lang="en">Fattah M.Y., Omran H.A., Hassan M.A. Behavior of an earth dam during rapid drawdown of water in reservoir — case study. International Journal of Advanced Research. 2015; 3(10):110-122.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">López-Acosta N.P., Sánchez M.A., Pereira J. Soil solution, G. Auvinet J.-M. Pereira. Assessment of exit hydraulic gradients at the toe of levees in water drawdown conditions // Scour and Erosion. 2014. Pp. 171–181. DOI: 10.1201/b17703-21</mixed-citation><mixed-citation xml:lang="en">López-Acosta N.P., Sánchez M.A., Pereira J. Soil Solution, G. Auvinet J.-M. Pereira. Assessment of exit hydraulic gradients at the toe of levees in water drawdown conditions. Scour and Erosion. 2014; 171-181. DOI: 10.1201/b17703-21</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Stark T.D., Jafari N.H., Zhindon J.S.L., Baghdady A. Unsaturated and transient seepage analysis of San Luis dam // Journal of Geotechnical and Geoenvironmental Engineering. 2017. Vol. 143. Issue 2. DOI: 10.1061/(ASCE)GT.1943-5606.0001602</mixed-citation><mixed-citation xml:lang="en">Stark T.D., Jafari N.H., Zhindon J.S.L., Baghdady A. Unsaturated and transient seepage analysis of San Luis dam. Journal of Geotechnical and Geoenvironmental Engineering. 2017; 143(2). DOI: 10.1061/(ASCE)GT.1943-5606.0001602</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Vandenberge D.R. Total stress rapid drawdown analysis of the pilarcitos dam failure using the finite element method // Frontiers of Structural and Civil Engineering. 2014. Vol. 8. Issue 2. Pp. 115–123. DOI: 10.1007/s11709-014-0249-7</mixed-citation><mixed-citation xml:lang="en">Vandenberge D.R. Total Stress rapid drawdown analysis of the Pilarcitos dam failure using the finite element method. Frontiers of Structural and Civil Engineering. 2014; 8(2):115-123. DOI: 10.1007/s11709-014-0249-7</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Беллендир Е.Н., Ивашинцов Д.А., Стефанишин Д.В. и др. Вероятностные методы оценки надежности грунтовых гидротехнических сооружений. Т. 1. СПб. : ОАО ВНИИГ им. Б.Е. Веденеева, 2003.</mixed-citation><mixed-citation xml:lang="en">Bellendir E.N., Ivashintsov D.A., Stefanishin D.V. et al. Probabilistic methods for assessing the reliability of soil hydraulic structures. Vol. 1. St. Petersburg, JSC VNIIG named after B.E. Vedeneeva. 2003. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Aniskin N.A., Sergeev S.A. The effect of draw-off on filtration regime of earth-fill dam // International Journal for Computational Civil and Structural Engineering. 2022. Vol. 18. Issue 1. Pp. 40–50. DOI: 10.22337/2587-9618-2022-18-1-40-50</mixed-citation><mixed-citation xml:lang="en">Aniskin N.A., Sergeev S.A. The effect of draw-off on filtration regime of earth-fill dam. International Journal for Computational Civil and Structural Engineering. 2022; 18(1):40-50. DOI: 10.22337/2587-9618-2022-18-1-40-50</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Banichuk N.V., Makeev E.V. Variational method for non-classical problems of mechanics with constraints based on finite elements approximations and local variations // PNRPU Mechanics Bulletin. 2017. DOI: 10.15593/perm.mech/2017.3.03</mixed-citation><mixed-citation xml:lang="en">Banichuk N.V., Makeev E.V. Variational method for non-classical problems of mechanics with constraints based on finite elements approximations and local variations. PNRPU Mechanics Bulletin. 2017. DOI: 10.15593/perm.mech/2017.3.03</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Черноусько Ф.Л. Метод локальных вариаций для численного решения вариационных задач // Журнал вычислительной математики и математической физики. 1965. T. 5. № 4. C. 749–754. EDN VRTIIV.</mixed-citation><mixed-citation xml:lang="en">Chernous’ko F.L. A local variation method for the numerical solution of variational problems. USSR Computational Mathematics and Mathematical Physics. 1965; 5(4):749-754. EDN VRTIIV. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Развитие исследований по теории фильтрации в СССР. М. : Наука, 1969. 545 с.</mixed-citation><mixed-citation xml:lang="en">Development of research on filtration theory in the USSR. Moscow, Nauka, 1969; 545. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Шестаков В.М. Определение гидродинамических сил в земляных сооружениях и откосах при падении уровней в бьефах // Вопросы фильтрационных расчетов гидротехнических сооружений : сб. ВОДГЕО. 1956. № 2.</mixed-citation><mixed-citation xml:lang="en">Shestakov V.M. Determination of hydrodynamic forces in earthen structures and slopes when water levels fall. Questions of filtration calculations of hydraulic structures : collection. VODGEO. 1956; 2. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Muskat M. The flow of homogeneous fluids through porous media. New York : McGraw-Hill Book Company, 1937. 763 p.</mixed-citation><mixed-citation xml:lang="en">Muskat M. The flow of homogeneous fluids through porous media. New York, McGraw-Hill Book Company, 1937; 763. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Анахаев К.Н. О фильтрационном расчете перемычки // Математическое моделирование. 2011. Т. 23. № 2. С. 148–158. EDN RXPMLV.</mixed-citation><mixed-citation xml:lang="en">Anakhaev K.N. About filtration account the crosspiece. Mathematical Models and Computer Simulations. 2011; 23(2):148-158. EDN RXPMLV. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Петриченко М.Р., Заборова Д.Д., Котов Е.В., Мусорина Т.А. Слабые решения предельных задач Крокко // Научно-технические ведомости Санкт-Петербургского государственного политехнического университета. Физико-математические науки. 2018. Т. 11. № 3. С. 27–38. DOI: 10.18721/JPM.11303. EDN VBMEZB.</mixed-citation><mixed-citation xml:lang="en">Petrichenko M.R., Zaborova D.D., Kotov E.V., Musorina T.A. Weak solutions of the crocco boundary problems. St. Petersburg Polytechnical University Journal: Physics and Mathematics. 2018; 11(3):27-38. DOI: 10.18721/JPM.11303. EDN VBMEZB. (rus.).</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Chapman T.G., Dressler R.F. Unsteady shallow groundwater flow over a curved impermeable boundary // Water Resources Research. 1984. Vol. 20. Issue 10. Pp. 1427–1434. DOI: 10.1029/WR020i010p01427</mixed-citation><mixed-citation xml:lang="en">Chapman T.G., Dressler R.F. Unsteady shallow groundwater flow over a curved impermeable boundary. Water Resources Research. 1984; 20(10):1427-1434. DOI: 10.1029/WR020i010p01427</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Okeke A.C.U., Wang F. Critical hydraulic gradients for seepage-induced failure of landslide dams // Geoenvironmental Disasters. 2016. Vol. 3. Issue 1. DOI: 10.1186/s40677-016-0043-z</mixed-citation><mixed-citation xml:lang="en">Okeke A.C.U., Wang F. Critical hydraulic gradients for seepage-induced failure of landslide dams. Geoenvironmental Disasters. 2016; 3(1). DOI: 10.1186/s40677-016-0043-z</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Vandenberge D.R. Total stress rapid drawdown analysis of the pilarcitos dam failure using the finite element method // Frontiers of Structural and Civil Engineering. 2014. Vol. 8. Issue 2. Pp. 115–123. DOI: 10.1007/s11709-014-0249-7</mixed-citation><mixed-citation xml:lang="en">Vandenberge D.R. Total stress rapid drawdown analysis of the Pilarcitos dam failure using the finite element method. Frontiers of Structural and Civil Engineering. 2014; 8(2):115-123. DOI: 10.1007/s11709-014-0249-7</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Billstein M. Development of a numerical model of flow through embankment dams. Department of Environmental Engineering. Lulea University of Technology, Lulea, Sweden, 1998. P. 59.</mixed-citation><mixed-citation xml:lang="en">Billstein M. Development of a numerical model of flow through embankment dams. Department of Environmental Engineering. Lulea University of Technology, Lulea, Sweden, 1998; 59.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Yuan S., Zhong H. Three dimensional analysis of unconfined seepage in earth dams by the weak form quadrature element method // Journal of Hydrology. 2016. Vol. 533. Pp. 403–411. DOI: 10.1016/j.jhydrol.2015.12.034</mixed-citation><mixed-citation xml:lang="en">Yuan S., Zhong H. Three dimensional analysis of unconfined seepage in earth dams by the weak form quadrature element method. Journal of Hydrology. 2016; 533:403-411. DOI: 10.1016/j.jhydrol.2015.12.034</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Yang J., Yin Z.Y., Laouafa F., Hicher P.Y. Modeling coupled erosion and filtration of fine particles in granular media // Acta Geotechnica. 2019. Vol. 14. Issue 6. Pp. 1615–1627. DOI: 10.1007/s11440-019-00808-8</mixed-citation><mixed-citation xml:lang="en">Yang J., Yin Z.Y., Laouafa F., Hicher P.Y. Modeling coupled erosion and filtration of fine particles in granular media. Acta Geotechnica. 2019; 14(6):1615-1627. DOI: 10.1007/s11440-019-00808-8</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Al-Labban S. Seepage and stability analysis of the earth dams under drawdown conditions by using the finite element method // Electronic Theses and Dissertations. 2018. P. 6157. URL: https://stars.library.ucf.edu/etd/6157</mixed-citation><mixed-citation xml:lang="en">Al-Labban S. Seepage and stability analysis of the earth dams under drawdown conditions by using the finite element method. Electronic Theses and Dissertations. 2018; 6157. URL: https://stars.library.ucf.edu/etd/6157</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Hu S., Zhou X., Luo Y., Zhang G. Numerical simulation three-dimensional nonlinear seepage in a pumped-storage power station: case study // Energies. 2019. Vol. 12. Issue 1. P. 180. DOI: 10.3390/en12010180</mixed-citation><mixed-citation xml:lang="en">Hu S., Zhou X., Luo Y., Zhang G. Numerical simulation three-dimensional nonlinear seepage in a pumped-storage power station: case study. Energies. 2019; 12(1):180. DOI: 10.3390/en12010180</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Mualem Y. A new model for predicting the hydraulic conductivity of unsaturated porous media // Water Resources Research. 1976. Vol. 12. Issue 3. Pp. 513–522. DOI: 10.1029/WR012i003p00513</mixed-citation><mixed-citation xml:lang="en">Mualem Y. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resources Research. 1976; 12(3):513-522. DOI: 10.1029/WR012i003p00513</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils // Soil Science Society of America Journal. 1980. Vol. 44. Issue 5. Pp. 892–898. DOI: 10.2136/sssaj1980.03615995004400050002x</mixed-citation><mixed-citation xml:lang="en">Van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal. 1980; 44(5):892-898. DOI: 10.2136/sssaj1980.03615995004400050002x</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Kosugi K. General model for unsaturated hydraulic conductivity for soils with lognormal pore-size distribution // Soil Science Society of America Journal. 1999. Vol. 63. Issue 2. Pp. 270–277. DOI: 10.2136/sssaj1999.03615995006300020003x</mixed-citation><mixed-citation xml:lang="en">Kosugi K. General model for unsaturated hydraulic conductivity for soils with lognormal pore-size distribution. Soil Science Society of America Journal. 1999; 63(2):270-277. DOI: 10.2136/sssaj1999.03615995006300020003x</mixed-citation></citation-alternatives></ref></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
