岩体破坏演化的物理细胞自动机(PCA)(Ⅰ)——基本模型
|
摘要
根据岩体的结构与破坏特征,建立了一种新的细胞自动机——二维物理细胞自动机(PCA)的基本模型,由于该模型考虑了岩体材料的非均质性、非连续性和各向异性等特征,因此,可以更有效地模拟岩体的破坏过程。该模型对进一步研究岩体的非线性特征具有重要的应用价值。
Based on the structures and failure characters of rock mass,the two-dimensional physical cellular automata (PCA),a new model of cellular automata,is set up. The anisotropy,discontinuity of rock mass,etc,are considered in the model,so the failure process of rock mass can be successfully simulated by the PCA model. The proposed model can be used for valuable reference to study the nonlinear features of rock mass.
Based on the structures and failure characters of rock mass,the two-dimensional physical cellular automata (PCA),a new model of cellular automata,is set up. The anisotropy,discontinuity of rock mass,etc,are considered in the model,so the failure process of rock mass can be successfully simulated by the PCA model. The proposed model can be used for valuable reference to study the nonlinear features of rock mass.
引文
1WolframStephen.Statistical mechanics of cellular automata[J].Reviews ofModernPhysics,1983,55(3):601～643
2GrassbergerPeter.Long-ran geeffec ts in anelementa rycellul arautomata[J].Journ alofStatisticalPhysics,1986,45(172):27～39
3HardyJ,PomeauY,dePazzisO. Timeevolu ti o nofatwo-dimensi onalm odelsystem[J].J.Math.Phys.,1973,14:1746～1759
4HasslacherB.Di scretefluids[J].LsAlamosScienceSpecialIssue,1987,175 ～217
5dHumièresD,LallemandP,FrischU .La tticega smeth odsfor3Dhydrodynamics[J].Europhys.Lett.,1986,2:291～297
6HiizuNakanishi.Cellula r- automataofe arth quakeswithdet erministicdynamics[J].PhysicalReviewA,1990,41(12):7086～7089
7BakP,ChaoT .E a rthquakesasase lf-organ izedcr iticalpheno-menon[J].J.Geophys.Res.,1989,94(1311):15635～15637
8ChenK,BakP. Self-organi ze d criticalityinacra ck-pr op agationmodelofearthquakes[J].Phy.Rev.A,1991,43(2):625～630
9ItoK,Matsuz ak iM.Earthquakes asself-o rganiz edcriticalpheno-menon[J].J.Geophys.Res.,1990,95(135):6853～6860
10SornetteA,Sornet teD.Self-or gan izedcriticalityandearthquakes[J].Europhys.,Lett.,1989,9(3):197～202
11郑捷.研究地震和岩石破裂现象的非线性科学方法[A].见:非线性科学在地震中的应用[M].北京:地震出版社,1992,45～538
12伊东敬佑.地震与临界状态[J].国际地震杂志,1990,10:23～26
13陆远忠,吕悦军.带断层的细胞自动机及其算法复杂性[J].地震学报,1994,16(2):183～189
14刘长海,陈军,凌学书.三维大型CA的“地震”能量-频度、时空分布[J].地震学报,1997,19(3):299～302
15刘杰,刘桂萍,李丽等.基于大陆地震活动特点建立的简化动力学模型——细胞自动机模型[J].地震,1999,19(3):230～238
16唐春安.岩石声发射规律数值模拟初探[J].岩石力学与工程学报,1997,16(4):368～374
17李世平.岩石力学简明教程[M].北京:中国矿业学院出版社,1986,54～55
2GrassbergerPeter.Long-ran geeffec ts in anelementa rycellul arautomata[J].Journ alofStatisticalPhysics,1986,45(172):27～39
3HardyJ,PomeauY,dePazzisO. Timeevolu ti o nofatwo-dimensi onalm odelsystem[J].J.Math.Phys.,1973,14:1746～1759
4HasslacherB.Di scretefluids[J].LsAlamosScienceSpecialIssue,1987,175 ～217
5dHumièresD,LallemandP,FrischU .La tticega smeth odsfor3Dhydrodynamics[J].Europhys.Lett.,1986,2:291～297
6HiizuNakanishi.Cellula r- automataofe arth quakeswithdet erministicdynamics[J].PhysicalReviewA,1990,41(12):7086～7089
7BakP,ChaoT .E a rthquakesasase lf-organ izedcr iticalpheno-menon[J].J.Geophys.Res.,1989,94(1311):15635～15637
8ChenK,BakP. Self-organi ze d criticalityinacra ck-pr op agationmodelofearthquakes[J].Phy.Rev.A,1991,43(2):625～630
9ItoK,Matsuz ak iM.Earthquakes asself-o rganiz edcriticalpheno-menon[J].J.Geophys.Res.,1990,95(135):6853～6860
10SornetteA,Sornet teD.Self-or gan izedcriticalityandearthquakes[J].Europhys.,Lett.,1989,9(3):197～202
11郑捷.研究地震和岩石破裂现象的非线性科学方法[A].见:非线性科学在地震中的应用[M].北京:地震出版社,1992,45～538
12伊东敬佑.地震与临界状态[J].国际地震杂志,1990,10:23～26
13陆远忠,吕悦军.带断层的细胞自动机及其算法复杂性[J].地震学报,1994,16(2):183～189
14刘长海,陈军,凌学书.三维大型CA的“地震”能量-频度、时空分布[J].地震学报,1997,19(3):299～302
15刘杰,刘桂萍,李丽等.基于大陆地震活动特点建立的简化动力学模型——细胞自动机模型[J].地震,1999,19(3):230～238
16唐春安.岩石声发射规律数值模拟初探[J].岩石力学与工程学报,1997,16(4):368～374
17李世平.岩石力学简明教程[M].北京:中国矿业学院出版社,1986,54～55
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心