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We obtain a closed-form, semianalytical solution for the CDF of the state variable (fluid saturation) and test it against the results from Monte Carlo simulations.<\/jats:p>","DOI":"10.1137\/120865574","type":"journal-article","created":{"date-parts":[[2013,1,15]],"date-time":"2013-01-15T12:50:13Z","timestamp":1358254213000},"page":"118-133","source":"Crossref","is-referenced-by-count":27,"title":["CDF Solutions of Buckley--Leverett Equation with Uncertain Parameters"],"prefix":"10.1137","volume":"11","author":[{"given":"P.","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"D. M.","family":"Tartakovsky","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"suffix":"Jr.","given":"K. D.","family":"Jarman","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A. 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