{"id":4280,"date":"2015-07-31T11:07:24","date_gmt":"2015-07-31T09:07:24","guid":{"rendered":"http:\/\/www.geology.com.ua\/?page_id=4280"},"modified":"2016-12-26T15:51:38","modified_gmt":"2016-12-26T13:51:38","slug":"4280-2","status":"publish","type":"page","link":"http:\/\/www.geology.com.ua\/en\/4280-2\/","title":{"rendered":"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37"},"content":{"rendered":"

Geoinformatika 2015; 2(54) :\u00a032-37 (in Ukrainian)<\/p>\n

SPECTRAL BEHAVIOR OF BIHARMONIC ACOUSTIC WAVES DURING THEIR ACTION on NONLINEAR GEOPHYSICAL MEDIUM<\/h4>\n

V.P. Nagornyy, I.I. Denysyuk<\/em><\/h5>\n

Department of Explosion Geodynamics of Institute of Geophysics National Academy of Sciences of Ukraine,\u00a063g B. Khmelnilzky Str., Kyiv 01054, Ukraine, e-mail: vgv_nagornyi@ukr.net<\/em><\/p>\n

Purpose.<\/strong> Acoustic methods are used for acting on geological medium in order to increase oil and gas reservoir recovery. To\u00a0enlarge possibilities of acoustic effect on hydrocarbon layers the authors have studied spectral characteristics of biharmonic acoustic effect on a layer.
\nDesign\/methodology\/approach.<\/strong>\u00a0 Equations of non-linear acoustics were applied in this process, which can be reduced to equations of simple waves with the help of an alternating profile method.
\nFindings.<\/strong> Based on solving the equation of simple waves for disturbance of arbitrary shape, we studied spectral characteristics of biharmonic signal\u00a0\u03bd = sin2\u03c9t\u00a0<\/em>+\u00a0m<\/em>sin(\u03c9t\u00a0<\/em>+\u00a0\u03c6) which propagates in nonlinear geo-medium with m<\/em>\u226a1. We have found that the process of interaction of a strong signal with frequency 2\u03c9 and a weaker signal with frequency w is sensitive to the shift of the phase \u03c6. In case of interaction of a weak signal with frequency \u03c9, shifted by phase \u03c6, with intense wave of pumping with frequency 2\u03c9, there appears a nonlinear effect of parametric amplification of a weak signal. We have revealed that amplification of the weak signal pulse height is observed in the case of the shift of the phase in the range of \u03c6 =\u00a045\u00b0…135\u00b0. The biggest amplification is observed when the angle of the shift of the phase \u03c6 =\u00a090\u00b0 and reaches 3,7.\u00a0 When \u03c6 =\u00a00\u00b0…45\u00b0; 135\u00b0…180\u00b0 the amplitude of a weak signal decreases.
\nPractical value\/implications.<\/strong> The results obtained can be used for developing promising wave methods of structured hydrocarbon-bearing layers processing, where the proposed widening of acoustic processing range is connected with the enhancement of the amplitude of resonance frequency wave by applying the energy of an intensive injection wave with higher frequency.<\/p>\n

Keywords:<\/strong> amplitude, acoustics, geophysical medium, pumping, nonlinearity, layer, spectrum, frequency.<\/p>\n

The full text of papers<\/span><\/a>
\n<\/strong><\/p>\n

References:<\/strong><\/p>\n

    \n
  1. Aramanovich I.G, Lunts G.L., El\u2019sgol\u2019ts L.E. Funktsii kompleksnogo peremennogo. Operatsionnoe ischislenie. Teoriya ustoychivosti<\/em> [Function of combined variable. Operation calculus. Theory of stability]. Moskow, Nauka<\/em>, 1965, 390 p.<\/li>\n
  2. Abramovits M., Stigan I. (Eds). Spravochnik po spetsial\u2019nym funktsiyam<\/em> [Manual of special functions]. Moskow, Nauka<\/em>, 1979, 830\u0440.<\/li>\n
  3. Grinchenko V.T, Vovk I.V., Matsapura V.T. Osnovy akustyky<\/em> [Theory of acoustics]. Kyiv, Naukova dumka<\/em>, 2007, 640 \u0440.<\/li>\n
  4. Gorbachev Ju.I. Akusticheskoe vozdejstvie i povyshenie rentabel\u2019nosti razrabotki neftjanyh mestorozhdenij<\/em> [Sound effects and increase the profitability of oil field development]. NTV \u201cKarotazhnik\u201d<\/em>. Tverj, Izd. AIS<\/em>, 2000, no. 60, pp. 55-67.<\/li>\n
  5. Gorbachev Yu.I. Fiziko-khimicheskie osnovy ul\u2019trazvukovoy ochistki prizaboynoy\u00a0 zony\u00a0 neftyanykh\u00a0 skvazhin<\/em> [Physico-chemical basis of ultrasonic cleaning bottomhole oil zone]. Geoinformatika<\/em>, 1998,\u00a0 no. 3, pp. 7-12.<\/li>\n
  6. Gurbatov S.N., Rudenko O.V. Nelineynaya akustika v zadachakh<\/em> [Nonlinear acoustic in problems]. Moskow, MSU Press<\/em>, 1990, 80 p.<\/li>\n
  7. Denysyuk I.I., Nahornyy V.P. Spektral\u2019ni kharakterystyky khvyl\u2019 pry akustychniy diyi na neliniyne heofizychne seredovyshche <\/em>[Spectral behavior of waves during their acoustic influence on nonlinear geophysical medium]. Kyiv, Institute of Geophysics National Academy of Sciences of Ukraine<\/em>, 2014, 30 p.<\/li>\n
  8. Dyblenko V.P, Kamalov R.N., Sharifullin R.Ya., Tufanov I.A. Povyshenie produktivnosti i reanimatsiya skvazhin s primeneniem vibrovolnovogo vozdeystviya<\/em> [Growth of productivity and revival of wells applying vibration wave action]. Moskow, Interior-Business center<\/em>, 2000, 381 \u0440.<\/li>\n
  9. Krutin V.N. Mehanizm akusticheskoj intensifikacii pritokov nefti iz produktivnyh plastov<\/em> [The mechanism of acoustic stimulation of oil from the reservoir]. NTV \u201cKarotazhnik\u201d. Tverj, Izd. AIS<\/em>, 1998, no. 42, pp. 46-53.<\/li>\n
  10. Nagornyy V.P., Denysyuk I.I. Impul\u2019sni metody intensyfikacii\u2019 vydobutku vuglevodniv<\/em> [Pulse methods of intensifying production of hydrocarbons]. Kyiv, Esse<\/em>, 2012, 323 p.<\/li>\n
  11. Nahornyy V.P., Denysyuk I.I., Yushytsyna Ya.O. Spektral\u2019ni kharakterystyky khvyl\u2019, zbudzhenykh fazovo-modul\u2019ovanym akustychnym syhnalom v neliniynomu heofizychnomu seredovyshchi<\/em> [Spectral characteristics of phase-modulated acoustic waves generated by acoustic signal in nonlinear geophysical medium]. Geoinformatika (Ukraina)<\/em>, 2014, no. 2 (50), pp. 59-65.<\/li>\n
  12. Aleksandrov V., Busher M., Kazakov Ju., Majorov V. Razvitie opyta akusticheskoj obrabotki produktivnoj zony skvazhin<\/em> [The development of experience of wells productive zone]. Technologies FEC<\/em>, 2003, no. 2, pp. 1-9.<\/li>\n<\/ol>\n

    <\/p>","protected":false},"excerpt":{"rendered":"

    Geoinformatika 2015; 2(54) :\u00a032-37 (in Ukrainian) SPECTRAL BEHAVIOR OF BIHARMONIC ACOUSTIC WAVES DURING THEIR ACTION on NONLINEAR GEOPHYSICAL MEDIUM V.P. Nagornyy, I.I. Denysyuk Department of Explosion Geodynamics of Institute of Geophysics National Academy of Sciences of Ukraine,\u00a063g B. Khmelnilzky Str., Kyiv 01054, Ukraine, e-mail: vgv_nagornyi@ukr.net Purpose. Acoustic methods are used for acting on geological medium in order to increase oil and gas reservoir recovery. To\u00a0enlarge possibilities of acoustic effect on hydrocarbon layers the authors have studied spectral characteristics of biharmonic acoustic effect on a layer. Design\/methodology\/approach.\u00a0 Equations of non-linear acoustics were applied in this process, which can be reduced to equations of simple waves with the help of an alternating profile method. Findings. Based on solving the equation of simple waves for disturbance of arbitrary shape, we studied spectral characteristics of biharmonic signal\u00a0\u03bd = sin2\u03c9t\u00a0+\u00a0msin(\u03c9t\u00a0+\u00a0\u03c6) which propagates in nonlinear geo-medium with m\u226a1. We have found that the process of interaction of a strong signal with frequency 2\u03c9 and a weaker signal with frequency w is sensitive to the shift of the phase \u03c6. In case of interaction of a weak signal with frequency \u03c9, shifted by phase \u03c6, with intense wave of pumping with frequency 2\u03c9, there appears a nonlinear effect of parametric amplification of a weak signal. We have revealed that amplification of the weak signal pulse height is observed in the case of the shift of the phase in the range of \u03c6 =\u00a045\u00b0…135\u00b0. The biggest amplification is observed when the angle of the shift of the phase \u03c6 =\u00a090\u00b0 and reaches 3,7.\u00a0 When \u03c6 =\u00a00\u00b0…45\u00b0; 135\u00b0…180\u00b0 the amplitude of a weak signal decreases. Practical value\/implications. The results obtained can be used for developing promising wave methods of structured hydrocarbon-bearing layers processing, where the proposed widening of acoustic processing range is connected with the enhancement of the amplitude of resonance frequency wave by applying the energy of an intensive injection wave with higher frequency. Keywords: amplitude, acoustics, geophysical medium, pumping, nonlinearity, layer, spectrum, frequency. The full text of papers References: Aramanovich I.G, Lunts G.L., El\u2019sgol\u2019ts L.E. Funktsii kompleksnogo peremennogo. Operatsionnoe ischislenie. Teoriya ustoychivosti [Function of combined variable. Operation calculus. Theory of stability]. Moskow, Nauka, 1965, 390 p. Abramovits M., Stigan I. (Eds). Spravochnik po spetsial\u2019nym funktsiyam [Manual of special functions]. Moskow, Nauka, 1979, 830\u0440. Grinchenko V.T, Vovk I.V., Matsapura V.T. Osnovy akustyky [Theory of acoustics]. Kyiv, Naukova dumka, 2007, 640 \u0440. Gorbachev Ju.I. Akusticheskoe vozdejstvie i povyshenie rentabel\u2019nosti razrabotki neftjanyh mestorozhdenij [Sound effects and increase the profitability of oil field development]. NTV \u201cKarotazhnik\u201d. Tverj, Izd. AIS, 2000, no. 60, pp. 55-67. Gorbachev Yu.I. Fiziko-khimicheskie osnovy ul\u2019trazvukovoy ochistki prizaboynoy\u00a0 zony\u00a0 neftyanykh\u00a0 skvazhin [Physico-chemical basis of ultrasonic cleaning bottomhole oil zone]. Geoinformatika, 1998,\u00a0 no. 3, pp. 7-12. Gurbatov S.N., Rudenko O.V. Nelineynaya akustika v zadachakh [Nonlinear acoustic in problems]. Moskow, MSU Press, 1990, 80 p. Denysyuk I.I., Nahornyy V.P. Spektral\u2019ni kharakterystyky khvyl\u2019 pry akustychniy diyi na neliniyne heofizychne seredovyshche [Spectral behavior of waves during their acoustic influence on nonlinear geophysical medium]. Kyiv, Institute of Geophysics National Academy of Sciences of Ukraine, 2014, 30 p. Dyblenko V.P, Kamalov R.N., Sharifullin R.Ya., Tufanov I.A. Povyshenie produktivnosti i reanimatsiya skvazhin s primeneniem vibrovolnovogo vozdeystviya [Growth of productivity and revival of wells applying vibration wave action]. Moskow, Interior-Business center, 2000, 381 \u0440. Krutin V.N. Mehanizm akusticheskoj intensifikacii pritokov nefti iz produktivnyh plastov [The mechanism of acoustic stimulation of oil from the reservoir]. NTV \u201cKarotazhnik\u201d. Tverj, Izd. AIS, 1998, no. 42, pp. 46-53. Nagornyy V.P., Denysyuk I.I. Impul\u2019sni metody intensyfikacii\u2019 vydobutku vuglevodniv [Pulse methods of intensifying production of hydrocarbons]. Kyiv, Esse, 2012, 323 p. Nahornyy V.P., Denysyuk I.I., Yushytsyna Ya.O. Spektral\u2019ni kharakterystyky khvyl\u2019, zbudzhenykh fazovo-modul\u2019ovanym akustychnym syhnalom v neliniynomu heofizychnomu seredovyshchi [Spectral characteristics of phase-modulated acoustic waves generated by acoustic signal in nonlinear geophysical medium]. Geoinformatika (Ukraina), 2014, no. 2 (50), pp. 59-65. Aleksandrov V., Busher M., Kazakov Ju., Majorov V. Razvitie opyta akusticheskoj obrabotki produktivnoj zony skvazhin [The development of experience of wells productive zone]. Technologies FEC, 2003, no. 2, pp. 1-9.<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-4280","page","type-page","status-publish","hentry"],"yoast_head":"\n(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37 - \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/www.geology.com.ua\/en\/4280-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37 - \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb\" \/>\n<meta property=\"og:description\" content=\"Geoinformatika 2015; 2(54) :\u00a032-37 (in Ukrainian) SPECTRAL BEHAVIOR OF BIHARMONIC ACOUSTIC WAVES DURING THEIR ACTION on NONLINEAR GEOPHYSICAL MEDIUM V.P. Nagornyy, I.I. Denysyuk Department of Explosion Geodynamics of Institute of Geophysics National Academy of Sciences of Ukraine,\u00a063g B. Khmelnilzky Str., Kyiv 01054, Ukraine, e-mail: vgv_nagornyi@ukr.net Purpose. Acoustic methods are used for acting on geological medium in order to increase oil and gas reservoir recovery. To\u00a0enlarge possibilities of acoustic effect on hydrocarbon layers the authors have studied spectral characteristics of biharmonic acoustic effect on a layer. Design\/methodology\/approach.\u00a0 Equations of non-linear acoustics were applied in this process, which can be reduced to equations of simple waves with the help of an alternating profile method. Findings. Based on solving the equation of simple waves for disturbance of arbitrary shape, we studied spectral characteristics of biharmonic signal\u00a0\u03bd = sin2\u03c9t\u00a0+\u00a0msin(\u03c9t\u00a0+\u00a0\u03c6) which propagates in nonlinear geo-medium with m\u226a1. We have found that the process of interaction of a strong signal with frequency 2\u03c9 and a weaker signal with frequency w is sensitive to the shift of the phase \u03c6. In case of interaction of a weak signal with frequency \u03c9, shifted by phase \u03c6, with intense wave of pumping with frequency 2\u03c9, there appears a nonlinear effect of parametric amplification of a weak signal. We have revealed that amplification of the weak signal pulse height is observed in the case of the shift of the phase in the range of \u03c6 =\u00a045\u00b0…135\u00b0. The biggest amplification is observed when the angle of the shift of the phase \u03c6 =\u00a090\u00b0 and reaches 3,7.\u00a0 When \u03c6 =\u00a00\u00b0…45\u00b0; 135\u00b0…180\u00b0 the amplitude of a weak signal decreases. Practical value\/implications. The results obtained can be used for developing promising wave methods of structured hydrocarbon-bearing layers processing, where the proposed widening of acoustic processing range is connected with the enhancement of the amplitude of resonance frequency wave by applying the energy of an intensive injection wave with higher frequency. Keywords: amplitude, acoustics, geophysical medium, pumping, nonlinearity, layer, spectrum, frequency. The full text of papers References: Aramanovich I.G, Lunts G.L., El\u2019sgol\u2019ts L.E. Funktsii kompleksnogo peremennogo. Operatsionnoe ischislenie. Teoriya ustoychivosti [Function of combined variable. Operation calculus. Theory of stability]. Moskow, Nauka, 1965, 390 p. Abramovits M., Stigan I. (Eds). Spravochnik po spetsial\u2019nym funktsiyam [Manual of special functions]. Moskow, Nauka, 1979, 830\u0440. Grinchenko V.T, Vovk I.V., Matsapura V.T. Osnovy akustyky [Theory of acoustics]. Kyiv, Naukova dumka, 2007, 640 \u0440. Gorbachev Ju.I. Akusticheskoe vozdejstvie i povyshenie rentabel\u2019nosti razrabotki neftjanyh mestorozhdenij [Sound effects and increase the profitability of oil field development]. NTV \u201cKarotazhnik\u201d. Tverj, Izd. AIS, 2000, no. 60, pp. 55-67. Gorbachev Yu.I. Fiziko-khimicheskie osnovy ul\u2019trazvukovoy ochistki prizaboynoy\u00a0 zony\u00a0 neftyanykh\u00a0 skvazhin [Physico-chemical basis of ultrasonic cleaning bottomhole oil zone]. Geoinformatika, 1998,\u00a0 no. 3, pp. 7-12. Gurbatov S.N., Rudenko O.V. Nelineynaya akustika v zadachakh [Nonlinear acoustic in problems]. Moskow, MSU Press, 1990, 80 p. Denysyuk I.I., Nahornyy V.P. Spektral\u2019ni kharakterystyky khvyl\u2019 pry akustychniy diyi na neliniyne heofizychne seredovyshche [Spectral behavior of waves during their acoustic influence on nonlinear geophysical medium]. Kyiv, Institute of Geophysics National Academy of Sciences of Ukraine, 2014, 30 p. Dyblenko V.P, Kamalov R.N., Sharifullin R.Ya., Tufanov I.A. Povyshenie produktivnosti i reanimatsiya skvazhin s primeneniem vibrovolnovogo vozdeystviya [Growth of productivity and revival of wells applying vibration wave action]. Moskow, Interior-Business center, 2000, 381 \u0440. Krutin V.N. Mehanizm akusticheskoj intensifikacii pritokov nefti iz produktivnyh plastov [The mechanism of acoustic stimulation of oil from the reservoir]. NTV \u201cKarotazhnik\u201d. Tverj, Izd. AIS, 1998, no. 42, pp. 46-53. Nagornyy V.P., Denysyuk I.I. Impul\u2019sni metody intensyfikacii\u2019 vydobutku vuglevodniv [Pulse methods of intensifying production of hydrocarbons]. Kyiv, Esse, 2012, 323 p. Nahornyy V.P., Denysyuk I.I., Yushytsyna Ya.O. Spektral\u2019ni kharakterystyky khvyl\u2019, zbudzhenykh fazovo-modul\u2019ovanym akustychnym syhnalom v neliniynomu heofizychnomu seredovyshchi [Spectral characteristics of phase-modulated acoustic waves generated by acoustic signal in nonlinear geophysical medium]. Geoinformatika (Ukraina), 2014, no. 2 (50), pp. 59-65. Aleksandrov V., Busher M., Kazakov Ju., Majorov V. Razvitie opyta akusticheskoj obrabotki produktivnoj zony skvazhin [The development of experience of wells productive zone]. Technologies FEC, 2003, no. 2, pp. 1-9.\" \/>\n<meta property=\"og:url\" content=\"http:\/\/www.geology.com.ua\/en\/4280-2\/\" \/>\n<meta property=\"og:site_name\" content=\"\u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb\" \/>\n<meta property=\"article:modified_time\" content=\"2016-12-26T13:51:38+00:00\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/4280-2\\\/\",\"url\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/4280-2\\\/\",\"name\":\"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37 - \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb\",\"isPartOf\":{\"@id\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/#website\"},\"datePublished\":\"2015-07-31T09:07:24+00:00\",\"dateModified\":\"2016-12-26T13:51:38+00:00\",\"breadcrumb\":{\"@id\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/4280-2\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[[\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/4280-2\\\/\"]]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/4280-2\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37\"}]},{\"@type\":\"WebSite\",\"@id\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/#website\",\"url\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/\",\"name\":\"\u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb\",\"description\":\"\u0426\u0435\u043d\u0442\u0440 \u043c\u0435\u043d\u0435\u0434\u0436\u043c\u0435\u043d\u0442\u0443 \u0442\u0430 \u043c\u0430\u0440\u043a\u0435\u0442\u0438\u043d\u0433\u0443 \u0432 \u0433\u0430\u043b\u0443\u0437\u0456 \u043d\u0430\u0443\u043a \u043f\u0440\u043e \u0417\u0435\u043c\u043b\u044e\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"http:\\\/\\\/www.geology.com.ua\\\/en\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37 - \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"http:\/\/www.geology.com.ua\/en\/4280-2\/","og_locale":"en_US","og_type":"article","og_title":"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37 - \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb","og_description":"Geoinformatika 2015; 2(54) :\u00a032-37 (in Ukrainian) SPECTRAL BEHAVIOR OF BIHARMONIC ACOUSTIC WAVES DURING THEIR ACTION on NONLINEAR GEOPHYSICAL MEDIUM V.P. Nagornyy, I.I. Denysyuk Department of Explosion Geodynamics of Institute of Geophysics National Academy of Sciences of Ukraine,\u00a063g B. Khmelnilzky Str., Kyiv 01054, Ukraine, e-mail: vgv_nagornyi@ukr.net Purpose. Acoustic methods are used for acting on geological medium in order to increase oil and gas reservoir recovery. To\u00a0enlarge possibilities of acoustic effect on hydrocarbon layers the authors have studied spectral characteristics of biharmonic acoustic effect on a layer. Design\/methodology\/approach.\u00a0 Equations of non-linear acoustics were applied in this process, which can be reduced to equations of simple waves with the help of an alternating profile method. Findings. Based on solving the equation of simple waves for disturbance of arbitrary shape, we studied spectral characteristics of biharmonic signal\u00a0\u03bd = sin2\u03c9t\u00a0+\u00a0msin(\u03c9t\u00a0+\u00a0\u03c6) which propagates in nonlinear geo-medium with m\u226a1. We have found that the process of interaction of a strong signal with frequency 2\u03c9 and a weaker signal with frequency w is sensitive to the shift of the phase \u03c6. In case of interaction of a weak signal with frequency \u03c9, shifted by phase \u03c6, with intense wave of pumping with frequency 2\u03c9, there appears a nonlinear effect of parametric amplification of a weak signal. We have revealed that amplification of the weak signal pulse height is observed in the case of the shift of the phase in the range of \u03c6 =\u00a045\u00b0…135\u00b0. The biggest amplification is observed when the angle of the shift of the phase \u03c6 =\u00a090\u00b0 and reaches 3,7.\u00a0 When \u03c6 =\u00a00\u00b0…45\u00b0; 135\u00b0…180\u00b0 the amplitude of a weak signal decreases. Practical value\/implications. The results obtained can be used for developing promising wave methods of structured hydrocarbon-bearing layers processing, where the proposed widening of acoustic processing range is connected with the enhancement of the amplitude of resonance frequency wave by applying the energy of an intensive injection wave with higher frequency. Keywords: amplitude, acoustics, geophysical medium, pumping, nonlinearity, layer, spectrum, frequency. The full text of papers References: Aramanovich I.G, Lunts G.L., El\u2019sgol\u2019ts L.E. Funktsii kompleksnogo peremennogo. Operatsionnoe ischislenie. Teoriya ustoychivosti [Function of combined variable. Operation calculus. Theory of stability]. Moskow, Nauka, 1965, 390 p. Abramovits M., Stigan I. (Eds). Spravochnik po spetsial\u2019nym funktsiyam [Manual of special functions]. Moskow, Nauka, 1979, 830\u0440. Grinchenko V.T, Vovk I.V., Matsapura V.T. Osnovy akustyky [Theory of acoustics]. Kyiv, Naukova dumka, 2007, 640 \u0440. Gorbachev Ju.I. Akusticheskoe vozdejstvie i povyshenie rentabel\u2019nosti razrabotki neftjanyh mestorozhdenij [Sound effects and increase the profitability of oil field development]. NTV \u201cKarotazhnik\u201d. Tverj, Izd. AIS, 2000, no. 60, pp. 55-67. Gorbachev Yu.I. Fiziko-khimicheskie osnovy ul\u2019trazvukovoy ochistki prizaboynoy\u00a0 zony\u00a0 neftyanykh\u00a0 skvazhin [Physico-chemical basis of ultrasonic cleaning bottomhole oil zone]. Geoinformatika, 1998,\u00a0 no. 3, pp. 7-12. Gurbatov S.N., Rudenko O.V. Nelineynaya akustika v zadachakh [Nonlinear acoustic in problems]. Moskow, MSU Press, 1990, 80 p. Denysyuk I.I., Nahornyy V.P. Spektral\u2019ni kharakterystyky khvyl\u2019 pry akustychniy diyi na neliniyne heofizychne seredovyshche [Spectral behavior of waves during their acoustic influence on nonlinear geophysical medium]. Kyiv, Institute of Geophysics National Academy of Sciences of Ukraine, 2014, 30 p. Dyblenko V.P, Kamalov R.N., Sharifullin R.Ya., Tufanov I.A. Povyshenie produktivnosti i reanimatsiya skvazhin s primeneniem vibrovolnovogo vozdeystviya [Growth of productivity and revival of wells applying vibration wave action]. Moskow, Interior-Business center, 2000, 381 \u0440. Krutin V.N. Mehanizm akusticheskoj intensifikacii pritokov nefti iz produktivnyh plastov [The mechanism of acoustic stimulation of oil from the reservoir]. NTV \u201cKarotazhnik\u201d. Tverj, Izd. AIS, 1998, no. 42, pp. 46-53. Nagornyy V.P., Denysyuk I.I. Impul\u2019sni metody intensyfikacii\u2019 vydobutku vuglevodniv [Pulse methods of intensifying production of hydrocarbons]. Kyiv, Esse, 2012, 323 p. Nahornyy V.P., Denysyuk I.I., Yushytsyna Ya.O. Spektral\u2019ni kharakterystyky khvyl\u2019, zbudzhenykh fazovo-modul\u2019ovanym akustychnym syhnalom v neliniynomu heofizychnomu seredovyshchi [Spectral characteristics of phase-modulated acoustic waves generated by acoustic signal in nonlinear geophysical medium]. Geoinformatika (Ukraina), 2014, no. 2 (50), pp. 59-65. Aleksandrov V., Busher M., Kazakov Ju., Majorov V. Razvitie opyta akusticheskoj obrabotki produktivnoj zony skvazhin [The development of experience of wells productive zone]. Technologies FEC, 2003, no. 2, pp. 1-9.","og_url":"http:\/\/www.geology.com.ua\/en\/4280-2\/","og_site_name":"\u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb","article_modified_time":"2016-12-26T13:51:38+00:00","twitter_misc":{"Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"http:\/\/www.geology.com.ua\/en\/4280-2\/","url":"http:\/\/www.geology.com.ua\/en\/4280-2\/","name":"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37 - \u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb","isPartOf":{"@id":"http:\/\/www.geology.com.ua\/en\/#website"},"datePublished":"2015-07-31T09:07:24+00:00","dateModified":"2016-12-26T13:51:38+00:00","breadcrumb":{"@id":"http:\/\/www.geology.com.ua\/en\/4280-2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":[["http:\/\/www.geology.com.ua\/en\/4280-2\/"]]}]},{"@type":"BreadcrumbList","@id":"http:\/\/www.geology.com.ua\/en\/4280-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"http:\/\/www.geology.com.ua\/en\/"},{"@type":"ListItem","position":2,"name":"(\u0423\u043a\u0440\u0430\u0457\u043d\u0441\u044c\u043a\u0430) Geoinformatika 2015; 2(54) : 32-37"}]},{"@type":"WebSite","@id":"http:\/\/www.geology.com.ua\/en\/#website","url":"http:\/\/www.geology.com.ua\/en\/","name":"\u0421\u0430\u0439\u0442 \u0436\u0443\u0440\u043d\u0430\u043b\u0443 \u00ab\u0413\u0435\u043e\u0456\u043d\u0444\u043e\u0440\u043c\u0430\u0442\u0438\u043a\u0430\u00bb","description":"\u0426\u0435\u043d\u0442\u0440 \u043c\u0435\u043d\u0435\u0434\u0436\u043c\u0435\u043d\u0442\u0443 \u0442\u0430 \u043c\u0430\u0440\u043a\u0435\u0442\u0438\u043d\u0433\u0443 \u0432 \u0433\u0430\u043b\u0443\u0437\u0456 \u043d\u0430\u0443\u043a \u043f\u0440\u043e \u0417\u0435\u043c\u043b\u044e","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"http:\/\/www.geology.com.ua\/en\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/pages\/4280","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/comments?post=4280"}],"version-history":[{"count":8,"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/pages\/4280\/revisions"}],"predecessor-version":[{"id":6353,"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/pages\/4280\/revisions\/6353"}],"wp:attachment":[{"href":"http:\/\/www.geology.com.ua\/en\/wp-json\/wp\/v2\/media?parent=4280"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}