<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.3 20210610//EN" "JATS-journalpublishing1-3.dtd">
<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">gtcrust</journal-id><journal-title-group><journal-title xml:lang="ru">Геодинамика и тектонофизика</journal-title><trans-title-group xml:lang="en"><trans-title>Geodynamics &amp; Tectonophysics</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2078-502X</issn><publisher><publisher-name>Institute of the Earth's crust of the Russian Academy of Sciences, Siberian Branch</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.5800/GT-2019-10-2-0413</article-id><article-id custom-type="elpub" pub-id-type="custom">gtcrust-840</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>ПАЛЕОГЕОДИНАМИКА</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>PALEOGEODYNAMICS</subject></subj-group></article-categories><title-group><article-title>ЭКСПЕРИМЕНТАЛЬНОЕ И ТЕОРЕТИЧЕСКОЕ МОДЕЛИРОВАНИЕ АЛМАЗОНОСНЫХ ПЛЮМОВ</article-title><trans-title-group xml:lang="en"><trans-title>EXPERIMENTAL AND THEORETICAL MODELING OF DIAMONDIFEROUS PLUMES</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>Кирдяшкин</surname><given-names>А. Г.</given-names></name><name name-style="western" xml:lang="en"><surname>Kirdyashkin</surname><given-names>A. G.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Анатолий Григорьевич Кирдяшкин - доктор технических наук, ведущий научный сотрудник</p><p>630090, Новосибирск, пр. Академика Коптюга, 3</p></bio><bio xml:lang="en"><p>Anatoly G. Kirdyashkin - Doctor of Technical Sciences, Lead Researcher</p><p>3 Academician Koptyug ave., Novosibirsk 630090</p></bio><email xlink:type="simple">agk@igm.nsc.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>Кирдяшкин</surname><given-names>А. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Kirdyashkin</surname><given-names>A. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Алексей Анатольевич Кирдяшкин - доктор геолого-минералогических наук, профессор РАН, заведующий лабораторией Институт геологии и минералогии им. В.С. Соболева СО РАН</p><p>630090, Новосибирск, пр. Академика Коптюга, 3,</p><p>630090, Новосибирск, ул. Пирогова, 2</p></bio><bio xml:lang="en"><p>Alexei A. Kirdyashkin - Doctor of Geology and Mineralogy, Professor of RAS, Head of Laboratory</p><p>3 Academician Koptyug ave., Novosibirsk 630090, </p><p>2 Pirogov street, Novosibirsk 630090</p></bio><email xlink:type="simple">aak@igm.nsc.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Дистанов</surname><given-names>В. Э.</given-names></name><name name-style="western" xml:lang="en"><surname>Distanov</surname><given-names>V. Е.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Валерий Элимирович Дистанов - кандидат геолого-минералогических наук, старший научный сотрудник</p><p>630090, Новосибирск, пр. Академика Коптюга, 3</p></bio><bio xml:lang="en"><p>Valery E. Distanov - Candidate of Geology and Mineralogy, Senior Researcher</p><p>3 Academician Koptyug ave., Novosibirsk 630090</p></bio><email xlink:type="simple">dist@igm.nsc.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>Гладков</surname><given-names>И. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Gladkov</surname><given-names>I. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Игорь Николаевич Гладков – научный сотрудник</p><p>630090, Новосибирск, пр. Академика Коптюга, 3</p></bio><bio xml:lang="en"><p>Igor N. Gladkov - Researcher</p><p>3 Academician Koptyug ave., Novosibirsk 630090</p></bio><email xlink:type="simple">kir@igm.nsc.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Институт геологии и минералогии им. В.С. Соболева СО РАН</institution><country>Россия</country></aff><aff xml:lang="en"><institution>V.S. Sobolev Institute of Geology and Mineralogy, Siberian Branch of RAS</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Институт геологии и минералогии им. В.С. Соболева СО РАН;&#13;
Новосибирский национальный исследовательский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>V.S. Sobolev Institute of Geology and Mineralogy, Siberian Branch of RAS;&#13;
Novosibirsk State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2019</year></pub-date><pub-date pub-type="epub"><day>22</day><month>06</month><year>2019</year></pub-date><volume>10</volume><issue>2</issue><fpage>247</fpage><lpage>263</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Кирдяшкин А.Г., Кирдяшкин А.А., Дистанов В.Э., Гладков И.Н., 2019</copyright-statement><copyright-year>2019</copyright-year><copyright-holder xml:lang="ru">Кирдяшкин А.Г., Кирдяшкин А.А., Дистанов В.Э., Гладков И.Н.</copyright-holder><copyright-holder xml:lang="en">Kirdyashkin A.G., Kirdyashkin A.A., Distanov V.Е., Gladkov I.N.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" 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.gt-crust.ru/jour/article/view/840">https://www.gt-crust.ru/jour/article/view/840</self-uri><abstract><p>Рассматриваются термохимические мантийные плюмы, имеющие тепловую мощность 1.6·1010 Вт&lt;N&lt;2.7·1010 Вт и относительную тепловую мощность 1.15&lt;Ka&lt;1.9. Такие плюмы мы называем плюмами промежуточной тепловой мощности. Они формируются на границе ядро – мантия под кратонами в отсутствие горизонтальных свободно‐конвективных течений в мантии под ними или при наличии слабых горизонтальных мантийных течений. На основе данных лабораторного и теоретического моделирования представлена схема конвективных течений в канале плюма промежуточной тепловой мощности. Плюм поднимается (выплавляется) от границы ядро – мантия до критического уровня xкр, с которого расплав из канала плюма по каналу излияния прорывается на поверхность. Канал излияния образуется под действием силы сверхлитостатического давления на кровлю поднимающегося плюма. При уменьшении высоты массива над кровлей плюма до критического значения xкр касательное напряжение на боковой поверхности массива достигает критической величины (предела прочности) τкр. Вследствие разрушения пород массива образуется канал излияния высотой xкр, по которому расплав из канала плюма прорывается на поверхность. Представлены оценки высоты канала излияния и времени подъема плюма до критического уровня xкр. Определен объем излившегося расплава для его кинематической вязкости =0.5–2.0 м2/с. С использованием объема излияния получена зависимость глубины x, с которой расплав выносится на поверхность, от диаметра канала плюма для указанных значений . В том случае, когда x больше 150 км, расплав из канала плюма может транспортировать алмазы на поверхность. Таким образом, плюмы промежуточной тепловой мощности являются алмазоносными. На основе лабораторного моделирования определена структура течения в области сопряжения канала плюма и канала излияния для алмазоносных плюмов. Сделаны фотографии картин течения и измерены профили скорости вдоль линий тока в основном цилиндрическом канале (канале плюма) и в области сопряжения основного канала с каналом истечения. Обнаружена застойная зона, находящаяся в области сопряжения стенки канала плюма и торца, моделирующего кровлю плюма. Течение расплава в канале прорыва проанализировано как турбулентное течение в прямом цилиндрическом канале диаметром dк. Результаты экспериментального моделирования и теоретического анализа показывают, что сверхлитостатическое давление в канале плюма равно сумме напора, расходуемого на преодоление трения расплава о стенки канала излияния, и напора, расходуемого на увеличение динамического давления в нем. Получено соотношение, связывающее скорость течения расплава в канале излияния и сверхлитостатическое давление у кровли плюма.</p></abstract><trans-abstract xml:lang="en"><p>We consider thermochemical mantle plumes with thermal power 1.6·1010 W&lt;N&lt;2.7·1010 W (relative thermal power 1.15&lt;Ka&lt;1.9) as plumes with an intermediate thermal power. Such plumes are formed at the core–mantle boundary beneath cratons in the absence of horizontal free‐convection mantle flows beneath them, or in the presence of weak horizontal mantle flows. A proposed scheme of convection flows in the conduit of a plume with an intermediate thermal power is based on laboratory and theoretical modeling data. A plume ascends (melts out) from the coremantle boundary to critical depth xкр from which magma erupts on the Earth’s surface. The magmatic melt erupts from the plume conduit onto the surface through the eruption conduit. The latter forms under the effect of superlithostatic pressure on the plume roof. While the thickness of the block above the plume roof decreases to a critical value xкр, the shear stress on its cylindrical surface reaches a critical value (strength limit) τкр.Rock fails in the vicinity of the cylindrical block and, as a consequence, the eruption conduit is formed. We estimate the height of the eruption conduit and the time for the plume to ascent to the critical depth xкр. The volume of erupted melt is estimated for kinematic viscosity of melt =0.5–2 м2/с. The depth Δx from which the melt is transported to the surface is determined. Using the eruption volume, we obtain a relationship between the depth Δx and the plume conduit diameter for the above‐mentioned kinematic viscosities. In the case that the depth Δx is larger than 150 km, the melt from the plume conduit can transport diamonds to the Earth’s surface. Thus, the plumes with an intermediate thermal power are diamondiferous. The melt flow structure at the plume conduit/eruption conduit interface is determined on the basis of the laboratory modeling data. The photographs of the simulated flow were obtained. The flow line velocities were measured in the main cylindrical conduit (plume conduit) and at the main conduit/eruption conduit interface. A stagnant area is detected in the 'conduit wall/plume roof’ interface zone. The melt flow in the eruption conduit was analyzed as a turbulent flow in the straight cylindrical conduit with diameter dк. According to the experimental modeling and theoretical data, the superlithostatic pressure in the plume conduit is the sum of the frictional pressure drop and the increasing dynamic pressure in the eruption conduit. A relationship between the melt flow velocity in the eruption conduit and superlithostatic pressure has been derived.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>термохимический плюм</kwd><kwd>тепловая мощность</kwd><kwd>свободно‐конвективные течения</kwd><kwd>расплав</kwd><kwd>сверхлитостатическое давление</kwd><kwd>скорость течения</kwd><kwd>канал излияния</kwd></kwd-group><kwd-group xml:lang="en"><kwd>thermochemical plume</kwd><kwd>thermal power</kwd><kwd>free‐convection flows</kwd><kwd>melt</kwd><kwd>superlithostatic pressure</kwd><kwd>flow velocity</kwd><kwd>eruption conduit</kwd></kwd-group><funding-group><funding-statement xml:lang="ru">Работа выполнена по государственному заданию ИГМ СО РАН. Финансирующая организация: Министерство науки и высшего образования Российской Федерации.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Atikinson E., Pryde R., 2006. Seismic Investigation of Selected Kimberlite Pipes in the Buffalo Head Hills Kimberlite Field, North-Central Alberta. Alberta Energy and Utilities Board, EUB/AGS Special Report 079, 5 p.</mixed-citation><mixed-citation xml:lang="en">Atikinson E., Pryde R., 2006. Seismic Investigation of Selected Kimberlite Pipes in the Buffalo Head Hills Kimberlite Field, North-Central Alberta. Alberta Energy and Utilities Board, EUB/AGS Special Report 079, 5 p.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ажгирей Г.Д. Структурная геология. М.: Изд-во МГУ, 1956. 492 с..</mixed-citation><mixed-citation xml:lang="en">Azhgirey G.D., 1956. Structural Geology. Moscow State University Publishing House, Moscow, 492 p. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Chalapathi Rao N.V., Lehmann B., 2011. Kimberlites, flood basalts and mantle plumes: New insights from the Deccan Large Igneous Province. Earth-Science Reviews 107 (3–4), 315–324. https://doi.org/10.1016/j.earscirev.2011.04.003.</mixed-citation><mixed-citation xml:lang="en">Chalapathi Rao N.V., Lehmann B., 2011. Kimberlites, flood basalts and mantle plumes: New insights from the Deccan Large Igneous Province. Earth-Science Reviews 107 (3–4), 315–324. https://doi.org/10.1016/j.earscirev.2011.04.003.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Davaille A., Limare A., Touitou F., Kumagai I., Vatteville J., 2011. Anatomy of a laminar starting thermal plume at high Prandtl number. Experiments in Fluids 50 (2), 285–300. https://doi.org/10.1007/s00348-010-0924-y.</mixed-citation><mixed-citation xml:lang="en">Davaille A., Limare A., Touitou F., Kumagai I., Vatteville J., 2011. Anatomy of a laminar starting thermal plume at high Prandtl number. Experiments in Fluids 50 (2), 285–300. https://doi.org/10.1007/s00348-010-0924-y.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Dawson J.B., 1980. Kimberlites and Their Xenoliths. Springer–Verlag, Berlin–Heidelberg, 252 p. [Русский перевод: Доусон Дж. Кимберлиты и ксенолиты в них. М.: Мир, 1983. 300 с.].</mixed-citation><mixed-citation xml:lang="en">Dawson J.B., 1980. Kimberlites and Their Xenoliths. Springer–Verlag, Berlin–Heidelberg, 252 p. [Русский перевод: Доусон Дж. Кимберлиты и ксенолиты в них. М.: Мир, 1983. 300 с.].</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Dobretsov N.L., Kirdyashkin A.A., Kirdyashkin A.G., Vernikovsky V.A., Gladkov I.N., 2008. Modelling of thermochemical plumes and implications for the origin of the Siberian traps. Lithos 100 (1–4), 66–92. https://doi.org/10.1016/j.lithos.2007.06.025.</mixed-citation><mixed-citation xml:lang="en">Dobretsov N.L., Kirdyashkin A.A., Kirdyashkin A.G., Vernikovsky V.A., Gladkov I.N., 2008. Modelling of thermochemical plumes and implications for the origin of the Siberian traps. Lithos 100 (1–4), 66–92. https://doi.org/10.1016/j.lithos.2007.06.025.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Н.Л., Кирдяшкин А.Г., Кирдяшкин А.А. Глубинная геодинамика. Новосибирск: Изд-во СО РАН, филиал «Гео», 2001. 408 с.</mixed-citation><mixed-citation xml:lang="en">Dobretsov N.L., Kirdyashkin A.G., Kirdyashkin A.A., 2001. Deep-Level Geodynamics. Siberian Branch of RAS Publishing House, Geo Branch, Novosibirsk, 408 p. (in Russian)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Fedortchouk Y., Matveev S., Carlson J.A., 2010. H2O and CO2 in kimberlitic fluid as recorded by diamonds and olivines in several Ekati Diamond Mine kimberlites, Northwest Territories, Canada. Earth and Planetary Science Letters 289 (3–4), 549–559. https://doi.org/10.1016/j.epsl.2009.11.049.</mixed-citation><mixed-citation xml:lang="en">Fedortchouk Y., Matveev S., Carlson J.A., 2010. H2O and CO2 in kimberlitic fluid as recorded by diamonds and olivines in several Ekati Diamond Mine kimberlites, Northwest Territories, Canada. Earth and Planetary Science Letters 289 (3–4), 549–559. https://doi.org/10.1016/j.epsl.2009.11.049.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Field M., Stiefenhofer J., Robey J., Kurszlaukis S., 2008. Kimberlite-hosted diamond deposits of southern Africa: A review. Ore Geology Reviews 34 (1–2), 33–75. https://doi.org/10.1016/j.oregeorev.2007.11.002.</mixed-citation><mixed-citation xml:lang="en">Field M., Stiefenhofer J., Robey J., Kurszlaukis S., 2008. Kimberlite-hosted diamond deposits of southern Africa: A review. Ore Geology Reviews 34 (1–2), 33–75. https://doi.org/10.1016/j.oregeorev.2007.11.002.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Gladkov I.N., Distanov V.E., Kirdyashkin A.A., Kirdyashkin A.G., 2012. Stability of a melt/solid interface with reference to a plume channel. Fluid Dynamics 47 (4), 433–447. https://doi.org/10.1134/S0015462812040023.</mixed-citation><mixed-citation xml:lang="en">Gladkov I.N., Distanov V.E., Kirdyashkin A.A., Kirdyashkin A.G., 2012. Stability of a melt/solid interface with reference to a plume channel. Fluid Dynamics 47 (4), 433–447. https://doi.org/10.1134/S0015462812040023.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Jaques A.L., 1998. Kimberlite and lamproite diamond pipes. AGSO Journal of Australian Geology and Geophysics 17 (4), 153–162.</mixed-citation><mixed-citation xml:lang="en">Jaques A.L., 1998. Kimberlite and lamproite diamond pipes. AGSO Journal of Australian Geology and Geophysics 17 (4), 153–162.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Jaupart C., Mareschal J.-C., 2007. Heat flow and thermal structure of the lithosphere. In: G. Schubert (Ed.), Treatise on geophysics. Vol. 6. Crust and lithosphere dynamics. Elsevier, Amsterdam, p. 217–251. https://doi.org/10.1016/B978-044452748-6.00104-8.</mixed-citation><mixed-citation xml:lang="en">Jaupart C., Mareschal J.-C., 2007. Heat flow and thermal structure of the lithosphere. In: G. Schubert (Ed.), Treatise on geophysics. Vol. 6. Crust and lithosphere dynamics. Elsevier, Amsterdam, p. 217–251. https://doi.org/10.1016/B978-044452748-6.00104-8.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Jaupart C., Mareschal J.-C., 2014. Constraints on crustal heat production from heat flow data. In: H. Holland, K. Turekian (Eds.), Treatise on geochemistry (Second Edition). Vol. 4. The crust. Elsevier, Amsterdam, p. 53–73. https:// doi.org/10.1016/B978-0-08-095975-7.00302-8.</mixed-citation><mixed-citation xml:lang="en">Jaupart C., Mareschal J.-C., 2014. Constraints on crustal heat production from heat flow data. In: H. Holland, K. Turekian (Eds.), Treatise on geochemistry (Second Edition). Vol. 4. The crust. Elsevier, Amsterdam, p. 53–73. https:// doi.org/10.1016/B978-0-08-095975-7.00302-8.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Kaminski E., Jaupart C., 2003. Laminar starting plumes in high-Prandtl-number fluids. Journal of Fluid Mechanics 478, 287–298. https://doi.org/10.1017/S0022112002003233.</mixed-citation><mixed-citation xml:lang="en">Kaminski E., Jaupart C., 2003. Laminar starting plumes in high-Prandtl-number fluids. Journal of Fluid Mechanics 478, 287–298. https://doi.org/10.1017/S0022112002003233.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Kennedy C.S., Kennedy G.C., 1976. The equilibrium boundary between graphite and diamond. Journal of Geophysical Research 81 (14), 2467–2470. https://doi.org/10.1029/JB081i014p02467.</mixed-citation><mixed-citation xml:lang="en">Kennedy C.S., Kennedy G.C., 1976. The equilibrium boundary between graphite and diamond. Journal of Geophysical Research 81 (14), 2467–2470. https://doi.org/10.1029/JB081i014p02467.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Kirdyashkin A.A., Dobretsov N.L., Kirdyashkin A.G., 2004. Thermochemical plumes. Geologiya i Geofizika (Russian Geology and Geophysics) 45 (9), 1005–1024.</mixed-citation><mixed-citation xml:lang="en">Kirdyashkin A.A., Dobretsov N.L., Kirdyashkin A.G., 2004. Thermochemical plumes. Geologiya i Geofizika (Russian Geology and Geophysics) 45 (9), 1005–1024.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Kirdyashkin A.A., Dobretsov N.L., Kirdyashkin A.G., 2009. Heat transfer between a thermochemical plume channel and the surrounding mantle in the presence of horizontal mantle flow. Izvestiya, Physics of the Solid Earth 45 (8), 684–700. https://doi.org/10.1134/S1069351309080084.</mixed-citation><mixed-citation xml:lang="en">Kirdyashkin A.A., Dobretsov N.L., Kirdyashkin A.G., 2009. Heat transfer between a thermochemical plume channel and the surrounding mantle in the presence of horizontal mantle flow. Izvestiya, Physics of the Solid Earth 45 (8), 684–700. https://doi.org/10.1134/S1069351309080084.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Kirdyashkin A.A., Dobretsov N.L., Kirdyashkin A.G., Gladkov I.N., Surkov N.V., 2005. Hydrodynamic processes associated with plume rise and conditions for eruption conduit formation. Geologiya i Geofizika (Russian Geology and Geophysics) 46 (9), 869–885.</mixed-citation><mixed-citation xml:lang="en">Kirdyashkin A.A., Dobretsov N.L., Kirdyashkin A.G., Gladkov I.N., Surkov N.V., 2005. Hydrodynamic processes associated with plume rise and conditions for eruption conduit formation. Geologiya i Geofizika (Russian Geology and Geophysics) 46 (9), 869–885.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Kirdyashkin A.A., Kirdyashkin A.G., 2016. On thermochemical mantle plumes with an intermediate thermal power that erupt on the Earth’s surface. Geotectonics 50 (2), 209–222. https://doi.org/10.1134/S0016852116020059.</mixed-citation><mixed-citation xml:lang="en">Kirdyashkin A.A., Kirdyashkin A.G., 2016. On thermochemical mantle plumes with an intermediate thermal power that erupt on the Earth’s surface. Geotectonics 50 (2), 209–222. https://doi.org/10.1134/S0016852116020059.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Kirdyashkin A.A., Kirdyashkin A.G., Distanov V.E., Gladkov I.N., 2016. Geodynamic regimes of thermochemical mantle plumes. Russian Geology and Geophysics 57 (6), 858–867. https://doi.org/10.1016/j.rgg.2016.05.003.</mixed-citation><mixed-citation xml:lang="en">Kirdyashkin A.A., Kirdyashkin A.G., Distanov V.E., Gladkov I.N., 2016. Geodynamic regimes of thermochemical mantle plumes. Russian Geology and Geophysics 57 (6), 858–867. https://doi.org/10.1016/j.rgg.2016.05.003.</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Кирдяшкин А.Г., Кирдяшкин А.А. Гидродинамика и тепломассообмен в грибообразной голове термохимического плюма // Геодинамика и тектонофизика. 2018. Т. 9. № 1. С. 263–286. https://doi.org/10.5800/GT-2018-9-1-0348.</mixed-citation><mixed-citation xml:lang="en">Kirdyashkin A.G., Kirdyashkin A.A., 2018. Hydrodynamics and heat and mass transfer in mushroom-shaped heads of thermochemical plumes. Geodynamics &amp; Tectonophysics 9 (1), 263–286 (in Russian) https://doi.org/10.5800/GT-2018-9-1-0348.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Kirdyashkin A.G., Kirdyashkin A.A., Gladkov I.N., Distanov V.E., 2012. Experimental modeling of the effect of relative thermal power on the shape of a plume conduit and the structure of free-convection flow in it. Russian Geology and Geophysics 53 (7) 689–697 https://doi.org/10.1016/j.rgg.2012.05.007.</mixed-citation><mixed-citation xml:lang="en">Kirdyashkin A.G., Kirdyashkin A.A., Gladkov I.N., Distanov V.E., 2012. Experimental modeling of the effect of relative thermal power on the shape of a plume conduit and the structure of free-convection flow in it. Russian Geology and Geophysics 53 (7) 689–697 https://doi.org/10.1016/j.rgg.2012.05.007.</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Kotelkin V.D., Lobkovskii L.I., 2011. Thermochemical theory of geodynamical evolution. Doklady Earth Sciences 438 (1), 622–626. https://doi.org/10.1134/S1028334X11050333.</mixed-citation><mixed-citation xml:lang="en">Kotelkin V.D., Lobkovskii L.I., 2011. Thermochemical theory of geodynamical evolution. Doklady Earth Sciences 438 (1), 622–626. https://doi.org/10.1134/S1028334X11050333.</mixed-citation></citation-alternatives></ref><ref id="cit24"><label>24</label><citation-alternatives><mixed-citation xml:lang="ru">Kumagai I., Davaille A., Kurita K., 2007. On the fate of thermally buoyant mantle plumes at density interfaces. Earth and Planetary Science Letters 254 (1–2), 180–193. https://doi.org/10.1016/j.epsl.2006.11.029.</mixed-citation><mixed-citation xml:lang="en">Kumagai I., Davaille A., Kurita K., 2007. On the fate of thermally buoyant mantle plumes at density interfaces. Earth and Planetary Science Letters 254 (1–2), 180–193. https://doi.org/10.1016/j.epsl.2006.11.029.</mixed-citation></citation-alternatives></ref><ref id="cit25"><label>25</label><citation-alternatives><mixed-citation xml:lang="ru">Lin S.-C., van Keken P.E., 2006. Dynamics of thermochemical plumes: 1. Plume formation and entrainment of a dense layer. Geochemistry, Geophysics, Geosystems. 7 (2), Q02006. https://doi.org/10.1029/2005GC001071.</mixed-citation><mixed-citation xml:lang="en">Lin S.-C., van Keken P.E., 2006. Dynamics of thermochemical plumes: 1. Plume formation and entrainment of a dense layer. Geochemistry, Geophysics, Geosystems. 7 (2), Q02006. https://doi.org/10.1029/2005GC001071.</mixed-citation></citation-alternatives></ref><ref id="cit26"><label>26</label><citation-alternatives><mixed-citation xml:lang="ru">Olson P., Singer H. 1985. Creeping plumes. Journal of Fluid Mechanics 158, 511–531. https://doi.org/10.1017/S0022112085002749.</mixed-citation><mixed-citation xml:lang="en">Olson P., Singer H. 1985. Creeping plumes. Journal of Fluid Mechanics 158, 511–531. https://doi.org/10.1017/S0022112085002749.</mixed-citation></citation-alternatives></ref><ref id="cit27"><label>27</label><citation-alternatives><mixed-citation xml:lang="ru">Schlichting H., 1979. Boundary-Layer Theory. McGraw-Hill, 817 p.</mixed-citation><mixed-citation xml:lang="en">Schlichting H., 1979. Boundary-Layer Theory. McGraw-Hill, 817 p.</mixed-citation></citation-alternatives></ref><ref id="cit28"><label>28</label><citation-alternatives><mixed-citation xml:lang="ru">Torsvik T.H., Burke K., Steinberger B., Webb S.J., Ashwal L.D., 2010. Diamonds sampled by plumes from the core–mantle boundary. Nature 466 (7304), 352–355. https://doi.org/10.1038/nature09216.</mixed-citation><mixed-citation xml:lang="en">Torsvik T.H., Burke K., Steinberger B., Webb S.J., Ashwal L.D., 2010. Diamonds sampled by plumes from the core–mantle boundary. Nature 466 (7304), 352–355. https://doi.org/10.1038/nature09216.</mixed-citation></citation-alternatives></ref><ref id="cit29"><label>29</label><citation-alternatives><mixed-citation xml:lang="ru">Trubitsyn V.P., Kharybin E.V., 2010. Thermochemical mantle plumes. Doklady Earth Sciences 435 (2), 1656–1658. https://doi.org/10.1134/S1028334X10120226.</mixed-citation><mixed-citation xml:lang="en">Trubitsyn V.P., Kharybin E.V., 2010. Thermochemical mantle plumes. Doklady Earth Sciences 435 (2), 1656–1658. https://doi.org/10.1134/S1028334X10120226.</mixed-citation></citation-alternatives></ref><ref id="cit30"><label>30</label><citation-alternatives><mixed-citation xml:lang="ru">Vatteville J., van Keken P.E., Limare A., Davaille A., 2009. Starting laminar plumes: Comparison of laboratory and numerical modeling. Geochemistry, Geophysics, Geosystems 10 (12), Q12013. https://doi.org/10.1029/2009GC002739.</mixed-citation><mixed-citation xml:lang="en">Vatteville J., van Keken P.E., Limare A., Davaille A., 2009. Starting laminar plumes: Comparison of laboratory and numerical modeling. Geochemistry, Geophysics, Geosystems 10 (12), Q12013. https://doi.org/10.1029/2009GC002739.</mixed-citation></citation-alternatives></ref><ref id="cit31"><label>31</label><citation-alternatives><mixed-citation xml:lang="ru">Whitehead J.A., Luther D.S., 1975. Dynamics of laboratory diapir and plume models. Journal of Geophysical Research 80 (5), 705–717. https://doi.org/10.1029/JB080i005p00705.</mixed-citation><mixed-citation xml:lang="en">Whitehead J.A., Luther D.S., 1975. Dynamics of laboratory diapir and plume models. Journal of Geophysical Research 80 (5), 705–717. https://doi.org/10.1029/JB080i005p00705.</mixed-citation></citation-alternatives></ref><ref id="cit32"><label>32</label><citation-alternatives><mixed-citation xml:lang="ru">Yang T., Fu R., 2014. Thermochemical piles in the lowermost mantle and their evolution. Physics of the Earth and Planetary Interiors 236, 109–116. https://doi.org/10.1016/j.pepi.2014.04.006.</mixed-citation><mixed-citation xml:lang="en">Yang T., Fu R., 2014. Thermochemical piles in the lowermost mantle and their evolution. Physics of the Earth and Planetary Interiors 236, 109–116. https://doi.org/10.1016/j.pepi.2014.04.006.</mixed-citation></citation-alternatives></ref><ref id="cit33"><label>33</label><citation-alternatives><mixed-citation xml:lang="ru">Zhong S., 2006. Constraints on thermochemical convection of the mantle from plume heat flux, plume excess temperature, and upper mantle temperature. Journal of Geophysical Research: Solid Earth 111 (B4), B04409. https:// doi.org/10.1029/2005JB003972.</mixed-citation><mixed-citation xml:lang="en">Zhong S., 2006. Constraints on thermochemical convection of the mantle from plume heat flux, plume excess temperature, and upper mantle temperature. Journal of Geophysical Research: Solid Earth 111 (B4), B04409. https:// doi.org/10.1029/2005JB003972.</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>
