半径方向の貯留層物性変化を有する坑井モデルの近似解法とその応用―数値計算における安定性および速度の向上―

• 島本 辰夫

  帝国石油(株)技術企画部

書誌事項

タイトル別名

• Approximate analytical solution of well testing for the reservoir with radial property variation-Improvements of the numerical stability and computing time-
• ハンケイ ホウコウ ノ チョリュウソウ ブッセイ ヘンカ オ ユウスル コウセイ モデル ノ キンジカイホウ ト ソノ オウヨウ スウチ ケイサン ニ オケル アンテイセイ オヨビ ソクド ノ コウジョウ
• -Improvements of the numerical stability and computing time-
• －数値計算における安定性および速度の向上－

抄録

The purpose of this study is to develop practical and versatile analytical solutions of well testing for the reservoir with radial property variation. Here, “practical” means that the calculation cost is not so expensive and “versatile” means that the algorisms are numerically stable”. Two analytical solutions for this problem are presented and improved. The first is the perturbative solution which was introduced by Oliver. Although this solution could treat the continuous function of permeability variation, the first order perturbation remains some errors when the center of the perturbation is set to constant. Thus, we develop a new function to estimate an adequate average permeability which should be applied in order to obtain the good approximation of pressure calculation. The result is excellent; however, this solution is a little tedious to apply for the porosity variation problems. In addition, it is difficult to expand this solution for the problem that the reservoir property changes with time. The second solution is multi-composite solution which is appeared in several papers. “Multi-composite model” treats of permeability and porosity variation as stair-step functions, however, the excellent approximation will be obtained on the condition that the “steps” are enough fine. The fine steps require high calculation cost. This paper presents several mathematical techniques in order to save this cost as well as to obtain numerical stability. Moreover, “Stepwise approach” enables us to treat the time dependent reservoir parameter, such as permeability change with time. Because “Stepwise approach” does not require any superposition of rate, calculation speed is very fast even in the case that production rate is frequently changed.

収録刊行物

• 石油技術協会誌

  石油技術協会誌 71 (3), 267-279, 2006

  石油技術協会

キーワード

• well test
• composite model
• perturbation

詳細情報

• CRID: 1390282679037900160
• NII論文ID: 10016977004
• NII書誌ID: AN00130976
• DOI: 10.3720/japt.71.267
• COI: 1:CAS:528:DC%2BD28XnsVGjtbo%3D
• ISSN: 18814131
• ISSN: 03709868
• NDL書誌ID: 8000873
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I8000873
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可