１　ＴｏｄｄＡｒｂｏｇａｓｔ．Ａｎａｌｙｓｉｓｆｏｔｈｅｓｉｍｕｌａｔｉｏｎｏｆｓｉｎｇｌｅｐｈａｓｅｆｌｏｗｔｈｒｏｕｇｈａｎａｔｕｒａｌｌｙｆｒａｃｔｕｒｅｄｒｅｓｅｖｉｏｒ．ＳＩＡＭＪＮｕｍｅｒＡｎａｌ，１９８９，２６：１２－２９
２　ＤｏｕｇｌｓＪＪｒ，ＰａｓｅｌｅｍｅＰＪ，ＡｒｏｂｏｇａｓｔＴ，ＳｃｈｅｍｉｔｔＴ．Ｓｉｍｕｌａｔｉｏｎｏｆｆｌｏｗｉｎｎａｔｕｒａｌｌｙｆｒａｃｔｕｒｅｄｒｅｓｅｒｖｉｏｒｓ．ＰａｐｅｒＳＰＥ１６０１９
３　皮斯曼．油藏数值模拟基础．北京：石油工业出版社，１９８２
４　ＤｏｕｇｌｓＪＪｒ，ＤｏｐｕｎｔＴ．Ａｌｔｅｒｎａｔｉｎｇｄｉｒｅｃｔｉｏｎｇａｌｅｒｋｉｎｍｅｔｈｏｄｓｏｎｒｅｃｔａｎｇｌｅｓ．ＰｒｏｃｅｅｄｉｎｇｓＳｙｍｐｏｓｉｕｍｏｎＮｕｍｅｒｉｃａｌ ＳｏｌｕｔｉｏｎｏｆＰａｒｔｉａｌＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓＩＩ，Ｂ．Ｈｕｂｂａｒｄ，ｅｄ．，Ｎｅｗ Ｙｏｒｋ：ＡｃａｄｅｍｉｃＰｒｅｓｓ，１９７１，１３３－２１４
５　ＤｅｎｄｙＪＥ，ＪＲ，ＦａｉｒｗｅａｔｈｅｒＧ．Ａｌｔｅｒｎａｔｉｎｇｄｉｒｅｃｔｉｏｎｇａｌｅｒｋｉｎｍｅｔｈｏｄｓｆｏｒｐａｒａｂｏｌｉｃａｎｄｈｅｙｐｅｒｂｏｌｉｃｐｒｏｂｌｅｍｓｏｎｒｅｃｔａｎｇｕｌａｒｐｏｌｙｇｏｎｓ．ＳＩＡＭＪＮｕｍｅｒＡｎａｌｍ，１９７３，１２（２）：１４５－１６３
６　ＨａｙｅｓＬＪ．Ｇａｌｅｒｋｉｎ Ａｌｔｅｒｎａｔｉｎｇｄｉｒｅｃｔｉｏｎ ｍｅｔｈｏｄｓｆｏｒｎｏｎｒｅｃｔａｎｇｕｌａｒｒｅｇｉｏｎｓｕｓｉｎｇｐａｔｃｈａｐｐｒｏｘｉｍａｔｉｏｎｓ．ＳＩＡＭ ＪＮｕｍｅｒＡｎａｌ１９８１，１８（４）：６２７－６４３
７　ＨａｙｅｓＬＪ．Ｉｍｐｌｅｍｅｎｔａｔｉｏｎｏｆｆｉｎｉｔｅｅｌｅｍｅｎｔａｌｔｅｎａｔｉｎｇｄｉｒｅｃｔｉｏｎ ｍｅｔｈｏｄｓｏｎｎｏｎｒｅｃｔａｎｇｕｌａｒｒｅｇｉｏｎｓ．ＩｎｔＪＮｕｍｅｒＭｅｃｈ，１９８０，１６：３５－４９
８　ＨａｙｅｓＬＪ．Ａ ｍｏｄｉｆｉｅｄＢａｃｋｗａｒｄｔｉｍｅｄｉｓｃｒｅｔｉｚａｔｉｏｎｆｏｒｎｏｎｌｉｎｅａｒｐａｒａｂｏｌｉｃｅｑｕａｔｉｏｎｓｕｓｉｎｇｐａｔｃｈａｐｐｒｏｘｉｍａｔｉｏｎｓ．ＳＩＡＭＪＮｕｍｅｒＡｎａｌ，１９８１，１８（５）：７８１－７９３
９　ＪａｍｅｓＨ．Ｂｒａｍｂｌｅ，Ｒｉｃｈａｒｄ，ＥｗｉｎｇＥ，ＧａｎｇＬｉ．Ａｌｔｅｒｎａｔｉｎｇｄｉｒｅｃｔｉｏｎｍｕｌｔｉｓｔｅｐｍｅｔｈｏｄｓｆｏｒｐａｒａｂｏｌｉｃｐｒｏｂｌｅｍｓｉｔｅｒａｔｉｖｅｓｔａｂｉｌｉｚａｔｉｏｎ．ＳＩＡＭＪＮｕｍｅｒＡｎａｌ，１９８９，２６：９０４－９１９
１０　芮洪兴．裂缝孔隙介质中二相驱动问题的沿特征线修正的有限元混合元格式及其理论分析．高等学校计算数学学报，１９９５，１７：２０１－２１２                                                                                                                                                                                                                                                               １１　ＤｏｕｇｌｓＪＪｒ，ＥｗｉｎｇＲ Ｅ，ＷｈｅｅｌｅｒＭ Ｆ．Ａｔｉｍｅｄｉｓｃｒｅｔｉｚａｔｉｏｎｐｒｏｄｕｒｅｆｏｒａｍｉｘｅｄｆｉｎｉｔｅｅｌｅｍｅｎｔａｐｐｒｏｘｉｍａｔｉｏｎｏｆ
ｍｉｓｃｉｂｌｅｄｉｓｐｌａｃｅｍｅｎｔｉｎｐｏｒｏｕｓｍｅｄｉａ．ＲＡＩＲＯ ＡｎａｌＮｕｍｅｒ，１９８３，１７：２４９－２６５
１２　ＷｈｅｅｌｅｒＭ Ｆ．ＡＰｒｉｏｒｉ犔２ｅｒｒｏｒｅｓｔｉｍａｔｅｆｏｇａｌｅｒｋｉｎａｐｐｒｏｘｉｍａｔｉｏｎｓｔｏｐａｒａｂｏｌｉｃｐａｒｔｉａｌｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ．ＳＩＡＭ ＪＮｕｍｅｒＡｎａｌ，１９７３，１０：７２３－７５９