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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="en"><front><journal-meta><journal-id journal-id-type="publisher-id">mrisel</journal-id><journal-title-group><journal-title xml:lang="en">Magnetic Resonance in Solids</journal-title><trans-title-group xml:lang="ru"><trans-title>Magnetic Resonance in Solids</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2072-5981</issn><publisher><publisher-name>Kazan Federal University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">mrisel-184</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>Статьи</subject></subj-group></article-categories><title-group><article-title>Inverse Laplace transform of 3He NMR relaxation data in porous media</article-title><trans-title-group xml:lang="ru"><trans-title></trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Gazizulin</surname><given-names>R. R.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kremlevskaya, 18, Kazan 420008</p></bio><email xlink:type="simple">g-rasul@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Klochkov</surname><given-names>A. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kremlevskaya, 18, Kazan 420008</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Kuzmin</surname><given-names>V. V.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kremlevskaya, 18, Kazan 420008</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Safiullin</surname><given-names>K. R.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kremlevskaya, 18, Kazan 420008</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Tagirov</surname><given-names>M. S.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kremlevskaya, 18, Kazan 420008</p></bio><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="western" xml:lang="en"><surname>Yudin</surname><given-names>A. N.</given-names></name></name-alternatives><bio xml:lang="en"><p>Kremlevskaya, 18, Kazan 420008</p></bio><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Kazan State University</institution><country>Russian Federation</country></aff><pub-date pub-type="collection"><year>2009</year></pub-date><pub-date pub-type="epub"><day>20</day><month>01</month><year>2024</year></pub-date><volume>11</volume><issue>2</issue><fpage>33</fpage><lpage>37</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Gazizulin R.R., Klochkov A.V., Kuzmin V.V., Safiullin K.R., Tagirov M.S., Yudin A.N., 2024</copyright-statement><copyright-year>2024</copyright-year><copyright-holder xml:lang="ru">Gazizulin R.R., Klochkov A.V., Kuzmin V.V., Safiullin K.R., Tagirov M.S., Yudin A.N.</copyright-holder><copyright-holder xml:lang="en">Gazizulin R.R., Klochkov A.V., Kuzmin V.V., Safiullin K.R., Tagirov M.S., Yudin A.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.mrsej.ru/jour/article/view/184">https://www.mrsej.ru/jour/article/view/184</self-uri><abstract><p>For the first time the inverse Laplace transform was applied for analysis of 3He relaxation in porous media. It was shown that inverse Laplace transform gives new information about these systems. The uniform-penalty algorithm has been performed to obtain the 3He relaxation times distribution in pores of clay sample. It is possible to obtain pores' sizes distribution by using applicable model.</p></abstract><kwd-group xml:lang="en"><kwd>inverse Laplace transform</kwd><kwd>uniform-penalty algorithm</kwd><kwd>liquid 3He</kwd><kwd>pulse nuclear magnetic resonance</kwd><kwd>clay</kwd><kwd>porous media</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">Thornton B.S., Hung W.T., Irving J. Math Met Biol. 8 (1991)</mixed-citation><mixed-citation xml:lang="en">Thornton B.S., Hung W.T., Irving J. Math Met Biol. 8 (1991)</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Slavik V., Wild J., Kubat P., Civis S., Zelinger Z. Contrib. Plasma Phys. 41, 4 (2001)</mixed-citation><mixed-citation xml:lang="en">Slavik V., Wild J., Kubat P., Civis S., Zelinger Z. Contrib. Plasma Phys. 41, 4 (2001)</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Friedman L.J., Millet P.J., Richardson R.C. Phys. Rev. Lett. 47, 1078 (1981)</mixed-citation><mixed-citation xml:lang="en">Friedman L.J., Millet P.J., Richardson R.C. Phys. Rev. Lett. 47, 1078 (1981)</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Friedman L.J., Gramila T.J., Richardson R.C. J. Low Temp. Phys. 55, 83 (1984)</mixed-citation><mixed-citation xml:lang="en">Friedman L.J., Gramila T.J., Richardson R.C. J. Low Temp. Phys. 55, 83 (1984)</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Tagirov M.S., Yudin A.N., Mamin G.V., Rodionov A.A., Tayurskii D.A., Klochkov A.V., Belford R.L., Ceroke P.J., Odintsov B.M. J. Low Temp. Phys. 148, 815 (2007)</mixed-citation><mixed-citation xml:lang="en">Tagirov M.S., Yudin A.N., Mamin G.V., Rodionov A.A., Tayurskii D.A., Klochkov A.V., Belford R.L., Ceroke P.J., Odintsov B.M. J. Low Temp. Phys. 148, 815 (2007)</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Klochkov A.V., Kuzmin V.V., Safiullin K.R., Tagirov M.S., Tayurskii D.A., Mulders N. Pis’ma v ZhETF 88, 944 (2008)</mixed-citation><mixed-citation xml:lang="en">Klochkov A.V., Kuzmin V.V., Safiullin K.R., Tagirov M.S., Tayurskii D.A., Mulders N. Pis’ma v ZhETF 88, 944 (2008)</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Egorov A.V., Irisov D.S., Klochkov A.V., Savinkov A.V., Safiullin K.R., Tagirov M.S., Tayurskii D.A., Yudin A.N. Pis’ma v ZhETF 86, 475 (2007)</mixed-citation><mixed-citation xml:lang="en">Egorov A.V., Irisov D.S., Klochkov A.V., Savinkov A.V., Safiullin K.R., Tagirov M.S., Tayurskii D.A., Yudin A.N. Pis’ma v ZhETF 86, 475 (2007)</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Borgia G.C., Brown R.J.S., Fantazzini P. J. Appl. Phys. 79, 7 (1996)</mixed-citation><mixed-citation xml:lang="en">Borgia G.C., Brown R.J.S., Fantazzini P. J. Appl. Phys. 79, 7 (1996)</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Blumich B. Essential NMR for Scientists and Engineers, Springer-Verlag Berlin Heidelberg (2005)</mixed-citation><mixed-citation xml:lang="en">Blumich B. Essential NMR for Scientists and Engineers, Springer-Verlag Berlin Heidelberg (2005)</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Borgia G.C., Brown R.J.S., Fantazzini P. J. Magn. Reson. 147, 273 (2000)</mixed-citation><mixed-citation xml:lang="en">Borgia G.C., Brown R.J.S., Fantazzini P. J. Magn. Reson. 147, 273 (2000)</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>
