Integrability of Buckley - Leverett’s Filtration Model^*

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• 作者：Atlas V. Akhmetzianov^* ; ^{awa@ipu.rssi.ru" class="auth_mail" title="E-mail the corresponding author} ; Alexei G. Kushner^** ; ^{kushner@physics.msu.ru" class="auth_mail" title="E-mail the corresponding author} ; Valentin V. Lychagin^*** ; ^{valentin.lychagin@uit.no" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Frontal displacement ; Backlund transformation ; Monge-Ampere equation ; multivalued solutions ; differential forms ; jet space ; Legendre transformation
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：12
• 页码：1251-1254
• 全文大小：397 K

文摘

One-dimensional Buckley - Leverett’s model of frontal displacement of petroleum by water is considered. We apply Backlund transformation to the Buckley - Leverett equation. This allows us to find Cauchy problem’s solutions for this equation in quadratures. These results can be used in control of development of oil fields.