[1] TAY J H, LIU Q S, LIU Y. The effects of shear force on the formation, structure and metabolism of aerobic granules[J]. Applied Microbiology & Biotechnology, 2001, 57(1/2): 227-233.
[2] LIU Z, LIU Y, ZHANG A, et al. Study on the process of aerobic granule sludge rapid formation by using the poly aluminum chloride (PAC)[J]. Chemical Engineering Journal, 2014, 250: 319-325. doi: 10.1016/j.cej.2014.04.025
[3] LIU J, LI J, WANG X D, et al. Rapid aerobic granulation in an SBR treating piggery wastewater by seeding sludge from a municipal WWTP[J]. Journal of Environmental Science, 2017, 51(1): 332-341.
[4] LIU Y Q, TAY J H. Fast formation of aerobic granules by combining strong hydraulic selection pressure with overstressed organic loading rate[J]. Water Research, 2015, 80: 256-266. doi: 10.1016/j.watres.2015.05.015
[5] DAHALAN F A, ABDULLAH N, YUZIR A, et al. A proposed aerobic granules size development scheme for aerobic granulation process[J]. Bioresource Technology, 2015, 181: 291-296. doi: 10.1016/j.biortech.2015.01.062
[6] 张鸿雁, 张志政, 王元. 流体力学[M]. 北京: 科学出版社, 2004.
[7] LIU Y, WANG Z W, LIU Y Q, et al. A generalized model for settling velocity of aerobic granular sludge[J]. Biotechnology Progress, 2005, b,21: 621-626.
[8] 周丹, 张涛. 颗粒污泥沉降动力学模型研究[J]. 环境污染与防治, 2008, 30(3): 36-38. doi: 10.3969/j.issn.1001-3865.2008.03.011
[9] YANG S F, LIU Q S, TAY J H, et al. Growth kinetics of aerobic granules developed in sequencing batch reactors[J]. Letter Applied Microbiology, 2004, 38: 106-112. doi: 10.1111/j.1472-765X.2003.01452.x
[10] SU K Z, YU H Q. Formation and characterization of aerobic granules in a sequencing batch reactor treating soybean-processing wastewater[J]. Environmental Science & Technology, 2005, 39: 2818-2828.
[11] NI B J, YU H Q. Mathematical modeling of aerobic granular sludge: A review[J]. Biotechnology Advances, 2010, 28: 895-909. doi: 10.1016/j.biotechadv.2010.08.004
[12] 施汉昌, 邱勇. 污水生物处理的数学模型与应用[M]. 北京: 中国建筑工业出版社, 2014.
[13] SU K Z, YU H Q. A generalized model of aerobic granule-based sequencing batch reactor I: Model development[J]. Environmental Science & Technology, 2006, a,40: 4703-4708.
[14] SU K Z, YU H Q. A generalized model for aerobic granule-based sequencing batch reactor II: Parametric sensitivity and model verification[J]. Environmental Science & Technology, 2006, b,40: 4709-4713.
[15] NI B J, YU H Q, SUN Y J. Modeling simultaneous autotrophic and heterotrophic growth in aerobic granules[J]. Water Research, 2008, 42: 1583-1594. doi: 10.1016/j.watres.2007.11.010
[16] 倪丙杰. 好氧颗粒污泥的培养过程、作用机制及数学模拟[D]. 合肥: 中国科学技术大学. 2009.
[17] ZHOU M, GONG J Y, YANG C Z, et al. Simulation of the performance of aerobic granular sludge SBR using modified ASM3 model[J]. Bioresource Technology, 2013, 127: 473-481. doi: 10.1016/j.biortech.2012.09.076
[18] FAN W W, YUAN L J, LI Y L. CFD simulation of flow pattern in a bubble column reactor for forming aerobic granules and its development[J]. Environmental Technology, 2019, 40(27): 3652-3667. doi: 10.1080/09593330.2018.1484522
[19] FAN W W, YUAN L J, QU X Y. CFD simulation of hydrodynamic behaviors and aerobic sludge granulation in a stirred tank with lower ratio of height to diameter[J]. Biochemical Engineering Journal, 2018, 137: 78-94. doi: 10.1016/j.bej.2018.05.012
[20] 李永林. 气升流速变化对SBR污泥颗粒化的作用及机理[D]. 西安: 西安建筑科技大学, 2017.
[21] 国家环保局. 水和废水监测分析方法 [M]. 北京: 中国环境科学出版社, 2005.
[22] 于静洁, 马超, 李莉等. ASM1中化学计量系数与动力学参数的测定[J]. 环境污染与防治, 2006, 28(5): 334-336. doi: 10.3969/j.issn.1001-3865.2006.05.005
[23] HENZE M, GUJER W, MINO T, et. al. . Activated Sludge Models. ASM1, ASM2, ASM2d and ASM3. London: IWA Publishing, 2000.
[24] 关梦龙, 黄钧, 毕京芳等. 好氧颗粒污泥代谢高浓度有机废水的数学模拟[J]. 应用与环境生物学报, 2014, 20(6): 1063-1069.
[25] XAVIER J B, PICIOREANU C, VAN LOOSDRECHT MCM. A framework for multi dimensional modeling of activity and structure of multi species biofilms[J]. Environmental Microbiology, 2005, 7: 1085-1103. doi: 10.1111/j.1462-2920.2005.00787.x
[26] RRICHERT P. AQUASIM 2.0-Tutorial [M]. Technical Report, Swiss Federal Institute for Environmental Science and Technology (EAWAG), CH-8600 Dübendorf, Switzerland, 1998.
[27] RRICHERT P. AQUASIM 2.0-User Manual [M]. Technical Report, Swiss Federal Institute for Environmental Science and Technology (EAWAG), CH-8600 Dübendorf, Switzerland, 1998.
[28] BEUN J J, HEIJNEN J J, VAN LOOSDRECHT M C M. N-removal in a granular sludge sequencing batch airlift reactor[J]. Biotechnology, 2001, 75: 82-91.
[29] 刘喆. 好氧污泥混凝强化造粒的操作控制条件及其作用机制[D]. 西安: 西安建筑科技大学, 2015.
[30] SIN G, GUISASOLA A, PAUW D J W D, et al. A new approach for modelling simultaneous storage and growth processes for activated sludge systems under aerobic conditions[J]. Biotechnology and Bioengineering, 2005, 92(5): 600-613. doi: 10.1002/bit.20741
[31] GUJER W, HENZE M, MINO T, et al. Activated sludge model No. 3[J]. Water Science and Technology, 1999, 39(1): 183-193. doi: 10.2166/wst.1999.0039