蔡昊宸(Hao-Cheng Tsai)胡明哲(Ming Che Hu)許少瑜(Shao Yiu Hsu)2021-03-252021-03-2520200257-5744http://dx.doi.org/10.29974/JTAE.202003_66(1).0003https://scholars.lib.ntu.edu.tw/handle/123456789/554698https://www.scopus.com/inward/record.url?eid=2-s2.0-85082686421&partnerID=40&md5=0109fd177288bb480c69493881d7b438This research aims to establish pseudospectral method to solve optimal control problems. Pseudospectral method converts optimal control problems into a nonlinear programming models, and then the optimal solutions of the models can be determined. The case study of this research constructs an seismic force optimal control problem of porous media two-phase flow. In the process of oil extraction, some oil might be remained in the crust because of the capillary tension and resistance of the in the porous media. To eliminate the trapped oil in the porous media, a excitation frequency is applied and causes oil blobs resonance. Because of the resonance, oil blobs can easily cancel out the resistance of capillarity and tension force. The seismic force optimal control model minimizes the energy consumption by adjusting the excitation frequency and extracting force. © 2020, Taiwan Agricultural Engineers Society. All rights reserved.[SDGs]SDG7Energy utilization; Nonlinear programming; Optimal control systems; Porous materials; Seismology; Capillary tensions; Excitation frequency; Nonlinear programming model; Optimal control model; Optimal control problem; Optimal controls; Optimal solutions; Pseudospectral methods; Two phase flow; capillarity; energy use; extraction method; flow pattern; phase transition; porous medium; seismic response; spectral analysis; tensionjournal article10.29974/JTAE.202003_66(1).00032-s2.0-85082686421