{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,27]],"date-time":"2025-11-27T16:10:22Z","timestamp":1764259822216,"version":"3.37.3"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100009731","name":"Sichuan Provincial Youth Science and Technology Fund","doi-asserted-by":"crossref","award":["2012JQ00 10","NCET-11-1062","2011D-5006-0201"],"award-info":[{"award-number":["2012JQ00 10","NCET-11-1062","2011D-5006-0201"]}],"id":[{"id":"10.13039\/501100009731","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100004602","name":"Program for New Century Excellent Talents in University","doi-asserted-by":"publisher","award":["2012JQ00 10","NCET-11-1062","2011D-5006-0201"],"award-info":[{"award-number":["2012JQ00 10","NCET-11-1062","2011D-5006-0201"]}],"id":[{"id":"10.13039\/501100004602","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005154","name":"PetroChina Innovation Foundation","doi-asserted-by":"publisher","award":["2012JQ00 10","NCET-11-1062","2011D-5006-0201"],"award-info":[{"award-number":["2012JQ00 10","NCET-11-1062","2011D-5006-0201"]}],"id":[{"id":"10.13039\/501100005154","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>On the basis of similar structure of solution for a second-order linear differential equation's boundary value problem, and our analysis of the relationship between this similar structure and its kernel function, the differential equation, and the boundary conditions, we propose a new simple solution\u2014similar constructive method of solution (SCMS)\u2014and sum up its detailed steps. We set up a porous media model under three kinds of outer boundary conditions (infinite, constant pressure, and closed), in which the influences of fractal dimension, spherical flow, skin effect, and storage are taken into consideration. And then we use SCMS to solve it. The SCMS is a straightforward method for differential equation's boundary value problems with complex boundary conditions, especially for solving the reservoir models in petroleum engineering.<\/jats:p>","DOI":"10.1155\/2013\/219218","type":"journal-article","created":{"date-parts":[[2013,5,27]],"date-time":"2013-05-27T21:00:47Z","timestamp":1369688447000},"page":"1-8","source":"Crossref","is-referenced-by-count":10,"title":["Similar Construction Method of Solution for Solving the Mathematical Model of Fractal Reservoir with Spherical Flow"],"prefix":"10.1155","volume":"2013","author":[{"given":"Cui-Cui","family":"Sheng","sequence":"first","affiliation":[{"name":"State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jin-Zhou","family":"Zhao","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yong-Ming","family":"Li","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shun-Chu","family":"Li","sequence":"additional","affiliation":[{"name":"Institute of Applied Mathematics, Xihua University, Chengdu 610039, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hu","family":"Jia","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"5","key":"1","first-page":"37","volume":"21","year":"2005","journal-title":"Journal of College 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