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The Solution of Test Model with a Free Boundary

Author: ZhuZhiZuo
Tutor: WangYuWen；ShiJunPing
School: Harbin Normal University
Course: Applied Mathematics
Keywords: Testing Model Free boundary Integral transform Equivalent form H (o ¨ ) lder space Existence and Uniqueness
CLC: TE353
Type: Master's thesis
Year: 2011
Downloads: 36
Quote: 0
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Abstract


From the TEST ANALYSIS development point of view , every progress are inseparable from the study of the percolation model and well test interpretation model , especially in the 1980s , a strong mathematical foundation has become a prerequisite in the well test . \Well Test Model skills of great value . parabolic free boundary problems in recent years , more and more , well test model of the free boundary problem is not a lot , but in the process of reservoir development boundary Usually , the flow of the fluid boundary with the passage of time of exploitation continued outward expansion of freedom , is formed by such proliferation is free boundary and at the free boundary is not reached , the reservoir is still in the stationary state ; for this particular seepage phenomenon , heterogeneous reservoir well testing model , for example , the establishment of a well test model with free boundary ; using the fixed point theorem and integral transform ideas considered equivalent to the solutions of the model form , and H ¨ older space to prove the existence and uniqueness .

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CLC: > Industrial Technology > Oil and gas industry > Oil and gas development and mining > Production Engineering > Well testing, test mining
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