eng Science and Education Publishing American Journal of Energy Research 2328-7330 2015-04-14 3 1 8 12 10.12691/ajer-3-1-2 AJER2015312 article Qiang Wang wangqian1205@foxmail.com 1 Shunchu Li 1 Mei Luo 1 Dongdong Gui 2 Institute of Applied Mathematics, Xihua University, Chengdu, China Beijing Dong run ke Petroleum Technology Co,Ltd, Beijing, China Aimed at multilayer composite reservoir with the double porosity, meanwhile considering the influence of well bore storage and skin effect, the seepage model for multilayer composite reservoir with the double porosity which the flow was steady from pore to crack was established in different outer boundary (infinite; closed; constant pressure) conditions; the exact solution of reservoir pressure drop and bottom hole pressure drop were obtained by Laplace transform in the Laplace space; the unified expression of solution was obtained by constructing similar kernel functions in different outer boundary conditions, therefore new method which solving this class of reservoir model is put forward, namely similar construction method. This method plays an important guiding role in exploring seepage law of oil and gas reservoir. http://pubs.sciepub.com/ajer/3/1/2/ajer-3-1-2.pdf double porosity multilayer composite reservoir similar construction method similar kernel function similar structure