바로가기메뉴

본문 바로가기 주메뉴 바로가기
 
 

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

논문 상세

이전 다음
논문 투고

Vol.6 No.2

PDF Citation Share

MODEL FOR THE CONTAMINATION OF CONFINED AQUIFERS BY POLLUTANTS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1999, v.6 no.2, pp.113-120
Bestman, A.R. (Department of Mathematics, Port Harcourt University)
Odigi, M.I. (Department of Geology, Port Harcourt University)
Bestman, A.R., & Odigi, M.I.. (1999). MODEL FOR THE CONTAMINATION OF CONFINED AQUIFERS BY POLLUTANTS, 6(2), 113-120.

Abstract

This paper studies the problem of an infinite confined aquifer which at time t ＜ 0 is assumed motionless. At time t = 0 crude oil seeps into the aquifer, thereby contaminating the valuable drinking water. Since the crude oil and water are im-miscible, the problem is posed as a one-dimensional two-phase unsteady moving boundary problem. A similarity solution is developed in which the moving front parameter is obtained by Newton-Ralphson iteration. A numerical scheme, involving the front tracking method, is devised employing the fourth order Runge-Kutta method. Comparison of the exact and numerical schemes shows an error of only 3%. Thus the developed numerical scheme is quite accurate in tackling more realistic problems where exact solutions are not possible.

keywords
aquifer, fourth order Runge-Kutter method

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책