<?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">geophystech</journal-id><journal-title-group><journal-title xml:lang="ru">Геофизические технологии</journal-title><trans-title-group xml:lang="en"><trans-title>Russian Journal of Geophysical Technologies</trans-title></trans-title-group></journal-title-group><issn pub-type="epub">2619-1563</issn><publisher><publisher-name>IPGG SB RAS</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.18303/2619-1563-2024-4-34</article-id><article-id custom-type="elpub" pub-id-type="custom">geophystech-382</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>О возможности увеличения отношения сигнал/шум за счет использования гармоник в невзрывной сейсморазведке</article-title><trans-title-group xml:lang="en"><trans-title>On the possibility of increasing the signal-to-noise ratio by using the harmonics in non-explosive seismic exploration</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0006-1532-8457</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Денисов</surname><given-names>М. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Denisov</surname><given-names>M. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Михаил Сергеевич Денисов – доктор физико-математических наук, директор по науке</p><p>119071, Москва, ул. Орджоникидзе, 12/4</p></bio><bio xml:lang="en"><p>Mikhail S. Denisov</p><p>Ordzhonikidze Str., 12/4, Moscow, 119071</p></bio><email xlink:type="simple">denisovms@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">ООО «ГЕОЛАБ»<country>Россия</country></aff><aff xml:lang="en">GEOLAB Ltd<country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2024</year></pub-date><pub-date pub-type="epub"><day>06</day><month>04</month><year>2025</year></pub-date><volume>0</volume><issue>4</issue><fpage>34</fpage><lpage>49</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Денисов М.С., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Денисов М.С.</copyright-holder><copyright-holder xml:lang="en">Denisov M.S.</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.rjgt.ru/jour/article/view/382">https://www.rjgt.ru/jour/article/view/382</self-uri><abstract><p>В вибросейсмическом методе разведки наряду с основным сигналом в глубь земной коры проходят его гармоники, которые обычно рассматриваются как помеха. Естественной информацией, которую можно извлечь из гармоник, является высокочастотная компонента, отсутствующая в сигнале. Однако и в диапазоне частот возбуждения основного свипа можно привлекать энергию гармоник для лучшего выделения сигнала на фоне помех. В работе показано, что при попытке использования традиционной детерминистической деконволюции по форме сигнала энергия гармоник теряется. В то же время, оптимальный статистический фильтр фокусировки сигнала и выделения его на фоне помех использует энергию гармоник.</p></abstract><trans-abstract xml:lang="en"><p>In the Vibroseis method, along with the main sweep signal, its harmonics, which are usually considered as noise, travel into the Earth's crust. The natural information that can be extracted from the harmonics is the high-frequency component that is absent in the signal. However, even within the frequency range of the main sweep, it is possible to utilize the energy of the harmonics to improve the signal-to-noise ratio. It is shown that the conventional signature deterministic deconvolution loses the energy of the harmonics. At the same time, the optimal statistical focusing filter that accounts for the additive noise factor, successfully utilizes the energy of the harmonics.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>вибросейс</kwd><kwd>свип-сигнал</kwd><kwd>гармоники</kwd><kwd>деконволюция</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Vibroseis</kwd><kwd>sweep signal</kwd><kwd>harmonics</kwd><kwd>deconvolution</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">Боганик Г.Н., Гурвич И.И. Сейсморазведка. Тверь: АИС, 2006. 744 с.</mixed-citation><mixed-citation xml:lang="en">Akhondi-Asl H., Vermeer P.L. Vibrator harmonics-noise or signal? // 77th EAGE Annual Conference and Exhibition. Expanded Abstracts. 2015. P. 1–5. doi:10.3997/2214-4609.201413436.</mixed-citation></citation-alternatives></ref><ref id="cit2"><label>2</label><citation-alternatives><mixed-citation xml:lang="ru">Ведерников Г.В., Максимов Л.А., Жарков А.В. Исследование кратных гармоник вибросигналов // Геофизика. Спецвыпуск к 30-летию «Сибнефтегеофизики». 2001. С. 33–38.</mixed-citation><mixed-citation xml:lang="en">Alnasser H., Shaiban A., El Yadari N., Almarzooq M. Fundamentals and higher order harmonics separation and integration from vertical seismic profiling (VSP) data // 82nd EAGE Annual Conference and Exhibition. Expanded Abstracts. 2021. P. 1–5. doi:10.3997/2214-4609.202113038.</mixed-citation></citation-alternatives></ref><ref id="cit3"><label>3</label><citation-alternatives><mixed-citation xml:lang="ru">Гоноровский И.С. Радиотехнические цепи и сигналы. М.: Радио и связь, 1986. 512 с.</mixed-citation><mixed-citation xml:lang="en">Boganik G.N., Gurvich I.I. Seismic exploration (In Russ.). AIS, Tver, 2006. 744 p.</mixed-citation></citation-alternatives></ref><ref id="cit4"><label>4</label><citation-alternatives><mixed-citation xml:lang="ru">Денисов М.С. Особенности сигнатурной деконволюции со сложной формой сигнала // Геофизические технологии. 2024. № 3. С. 21–32. doi:10.18303/2619-1563-2024-3-21.</mixed-citation><mixed-citation xml:lang="en">Caporal M., Tsingas C., Almubarak M.S., Alnasser H. Automated, inversion-based fundamental and higher order harmonics separation // 83rd EAGE Annual Conference and Exhibition. Expanded Abstracts. 2022. P. 1–5. doi:10.3997/2214-4609.202210032.</mixed-citation></citation-alternatives></ref><ref id="cit5"><label>5</label><citation-alternatives><mixed-citation xml:lang="ru">Денисов М.С., Егоров А.А. Построение модели вибросейсмического сигнала, осложненного гармониками // Геофизические технологии. 2019а. № 1. С. 72–83. doi:10.18303/2619-1563-2019-1-72.</mixed-citation><mixed-citation xml:lang="en">Denisov M.S. Signature deconvolution for composite signals // Russian Journal of Geophysical Technologies. 2024. No. 3. P. 21–32. (In Russ.). doi:10.18303/2619-1563-2024-3-21.</mixed-citation></citation-alternatives></ref><ref id="cit6"><label>6</label><citation-alternatives><mixed-citation xml:lang="ru">Денисов М.С., Егоров А.А. Оптимизационная рекурсивная фильтрация как способ подавления гармоник в методе вибросейс // Геофизические технологии. 2019б. № 2. С. 23–53. doi:10.18303/2619-1563-2019-2-23.</mixed-citation><mixed-citation xml:lang="en">Denisov M.S., Egorov A.A. Constructing a model of Vibroseis signal complicated by harmonics // Russian Journal of Geophysical Technologies. 2019a. No. 1. P. 71–82. (In Russ.). doi:10.18303/2619-1563-2019-1-72.</mixed-citation></citation-alternatives></ref><ref id="cit7"><label>7</label><citation-alternatives><mixed-citation xml:lang="ru">Денисов М.С., Зыков А.А. Моделирование гармоник амплитудно и нелинейно частотно-модулированных сигналов // Геофизические технологии. 2023а. № 3. С. 58–68. doi:10.18303/2619-1563-2023-3-58.</mixed-citation><mixed-citation xml:lang="en">Denisov M.S., Egorov A.A. Optimization-based recursive filtering for Vibroseis harmonic noise elimination // Russian Journal of Geophysical Technologies. 2019b. No. 2. P. 25–53. (In Russ.). doi:10.18303/2619-1563-2019-2-23.</mixed-citation></citation-alternatives></ref><ref id="cit8"><label>8</label><citation-alternatives><mixed-citation xml:lang="ru">Денисов М.С., Зыков А.А. Разделение сигнала и гармоник в невзрывной сейсморазведке с амплитудно и нелинейно частотно-модулированными сигналами // Геофизические технологии. 2023б. № 3. С. 69–84. doi:10.18303/2619-1563-2023-3-69.</mixed-citation><mixed-citation xml:lang="en">Denisov M.S., Egorov A.A., Shneerson M.B. Optimization-based recursive filtering for separation of signal from harmonics in Vibroseis // Geophysical Prospecting. 2021. Vol. 69 (4). P. 779–798. doi:10.1111/1365-2478.13084.</mixed-citation></citation-alternatives></ref><ref id="cit9"><label>9</label><citation-alternatives><mixed-citation xml:lang="ru">Козлов Е.А., Гогоненков Г.Н., Лернер Б.Л., Мушин И.А., Мешбей В.И., Климович Н.И., Янковский И.И. Цифровая обработка сейсмических данных. М.: Недра, 1973. 309 с.</mixed-citation><mixed-citation xml:lang="en">Denisov M.S., Zykov A.A. Modeling of harmonics of amplitude and nonlinear frequency-modulated signals // Russian Journal of Geophysical Technologies. 2023a. No. 3. P. 58–68. (In Russ.). doi:10.18303/2619-1563-2023-3-58.</mixed-citation></citation-alternatives></ref><ref id="cit10"><label>10</label><citation-alternatives><mixed-citation xml:lang="ru">Корн Г., Корн Т. Справочник по математике. М.: Наука, 1974. 832 с.</mixed-citation><mixed-citation xml:lang="en">Denisov M.S., Zykov A.A. Separation of signal and harmonics in non-explosive seismic prospecting with amplitude and nonlinear frequency-modulated signals // Russian Journal of Geophysical Technologies. 2023b. No. 3. P. 69–84. (In Russ.). doi:10.18303/2619-1563-2023-3-69.</mixed-citation></citation-alternatives></ref><ref id="cit11"><label>11</label><citation-alternatives><mixed-citation xml:lang="ru">Никитин А.А. Теоретические основы обработки геофизической информации. М.: Недра, 1986. 342 с.</mixed-citation><mixed-citation xml:lang="en">Gonorovsky I.S. Radio engineering circuits and signals (In Russ.). Radio and Сommunication, Moscow, 1986. 512 p.</mixed-citation></citation-alternatives></ref><ref id="cit12"><label>12</label><citation-alternatives><mixed-citation xml:lang="ru">Оппенгейм А., Шафер Р. Цифровая обработка сигналов. М.: Техносфера, 2012. 1048 с.</mixed-citation><mixed-citation xml:lang="en">Hatton L., Worthington M., Makin J. Seismic data processing. Theory and practice (In Russ.). Mir, Moscow, 1989. 216 p.</mixed-citation></citation-alternatives></ref><ref id="cit13"><label>13</label><citation-alternatives><mixed-citation xml:lang="ru">Рапопорт М.Б. Вычислительная техника в полевой геофизике. М.: Недра, 1993. 352 с.</mixed-citation><mixed-citation xml:lang="en">Korn G., Korn T. Mathematics handbook (In Russ.). Nauka, Moscow, 1974. 832 p.</mixed-citation></citation-alternatives></ref><ref id="cit14"><label>14</label><citation-alternatives><mixed-citation xml:lang="ru">Хаттон Л., Уэрдингтон М., Мейкин Дж. Обработка сейсмических данных. Теория и практика. М.: Мир, 1989. 216 с.</mixed-citation><mixed-citation xml:lang="en">Kozlov E.A., Gogonenkov G.N., Lerner B.L., Mushin I.A., Meshbey V.I., Klimovich N.I., Yankovkij I.I. Digital processing of seismic data (In Russ.). Nedra, Moscow, 1973. 309 p.</mixed-citation></citation-alternatives></ref><ref id="cit15"><label>15</label><citation-alternatives><mixed-citation xml:lang="ru">Ягудин И.Р., Гафаров Р.М., Жужель А.С. Нелинейные искажения как дополнительный источник сейсмической информации в вибрационной сейсморазведке // Геомодель 2024: 26-я научно-практическая конференция по вопросам геологоразведки и разработки месторождений нефти и газа: Сб. тезисов. М.: ООО «Геомодель Развитие», 2024. С. 110–113.</mixed-citation><mixed-citation xml:lang="en">Liu D., Li X., Wang W., Wang X., Shi Z., Chen W. Eliminating harmonic noise in vibrator data through sparsity-promoted waveform modeling // Geophysics. 2022. Vol. 87 (3). P. V183–V191. doi:10.1190/geo2021-0448.1.</mixed-citation></citation-alternatives></ref><ref id="cit16"><label>16</label><citation-alternatives><mixed-citation xml:lang="ru">Akhondi-Asl H., Vermeer P.L. Vibrator harmonics-noise or signal? // 77th EAGE Annual Conference and Exhibition. Expanded Abstracts. 2015. P. 1–5. doi:10.3997/2214-4609.201413436.</mixed-citation><mixed-citation xml:lang="en">Nikitin A.A. Theoretical fundamentals of geophysical information processing (In Russ.). Nedra, Moscow, 1986. 342 p.</mixed-citation></citation-alternatives></ref><ref id="cit17"><label>17</label><citation-alternatives><mixed-citation xml:lang="ru">Alnasser H., Shaiban A., El Yadari N., Almarzooq M. Fundamentals and higher order harmonics separation and integration from vertical seismic profiling (VSP) data // 82nd EAGE Annual Conference and Exhibition. Expanded Abstracts. 2021. P. 1–5. doi:10.3997/2214-4609.202113038.</mixed-citation><mixed-citation xml:lang="en">Oppenheim A., Schafer R. Digital signal processing (In Russ.). Technosphera, Moscow, 2012. 1048 p.</mixed-citation></citation-alternatives></ref><ref id="cit18"><label>18</label><citation-alternatives><mixed-citation xml:lang="ru">Caporal M., Tsingas C., Almubarak M.S., Alnasser H. Automated, inversion-based fundamental and higher order harmonics separation // 83rd EAGE Annual Conference and Exhibition. Expanded Abstracts. 2022. P. 1–5. doi:10.3997/2214-4609.202210032.</mixed-citation><mixed-citation xml:lang="en">Rapoport M.B. Computing technologies in field geophysics (In Russ.). Moscow, Nedra, 1993. 352 p.</mixed-citation></citation-alternatives></ref><ref id="cit19"><label>19</label><citation-alternatives><mixed-citation xml:lang="ru">Denisov M.S., Egorov A.A., Shneerson M.B. Optimization-based recursive filtering for separation of signal from harmonics in Vibroseis // Geophysical Prospecting. 2021. Vol. 69 (4). P. 779–798. doi:10.1111/1365-2478.13084.</mixed-citation><mixed-citation xml:lang="en">Rozemond H.J. Slip-sweep acquisition // 66th SEG Annual Meeting and Exposition. Expanded Abstracts. 1996. P. 64–67. doi:10.1190/1.1826730.</mixed-citation></citation-alternatives></ref><ref id="cit20"><label>20</label><citation-alternatives><mixed-citation xml:lang="ru">Liu D., Li X., Wang W., Wang X., Shi Z., Chen W. Eliminating harmonic noise in vibrator data through sparsity-promoted waveform modeling // Geophysics. 2022. Vol. 87 (3). P. V183–V191. doi:10.1190/geo2021-0448.1.</mixed-citation><mixed-citation xml:lang="en">Vedernikov G.V., Maksimov L.A., Zharkov A.V. Study of harmonics of the Vibroseis signals // Geofizika. Special Issue to 30th Anniversary of Sibneftegeofizika. 2001. P. 33–38. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit21"><label>21</label><citation-alternatives><mixed-citation xml:lang="ru">Rozemond H.J. Slip-sweep acquisition // 66th SEG Annual Meeting and Exposition. Expanded Abstracts. 1996. P. 64–67. doi:10.1190/1.1826730.</mixed-citation><mixed-citation xml:lang="en">Wang T., JafarGandomi A., Aune H. Extending seismic bandwidth using the harmonic energy of a marine vibrator source // 3rd International Meeting for Applied Geoscience and Energy, Expanded Abstracts. SEG, 2023. P. 177–181. doi:10.1190/image2023-3909863.1.</mixed-citation></citation-alternatives></ref><ref id="cit22"><label>22</label><citation-alternatives><mixed-citation xml:lang="ru">Wang T., JafarGandomi A., Aune H. Extending seismic bandwidth using the harmonic energy of a marine vibrator source // 3rd International Meeting for Applied Geoscience and Energy. Expanded Abstracts. SEG, 2023. P. 177–181. doi:10.1190/image2023-3909863.1.</mixed-citation><mixed-citation xml:lang="en">Yagudin I.R., Gafarov R.M., Zhuzhel A.S. Nonlinear distortions as an additional source of seismic information in vibration seismic exploration // Geomodel 2024: 26th Scientific and Practical Conference on Geological Exploration and Development of Oil and Gas Deposits. Expanded Abstracts. Gemodel Razvitie, Moscow, 2024. P. 110–113. (In Russ.)</mixed-citation></citation-alternatives></ref><ref id="cit23"><label>23</label><citation-alternatives><mixed-citation xml:lang="ru">Yilmaz Ö. Seismic data analysis. SEG, Tulsa, 2001. Vol. 1. 1809 p.</mixed-citation><mixed-citation xml:lang="en">Yilmaz Ö. Seismic data analysis. SEG, Tulsa, 2001. Vol. 1. 1809 p.</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>
