Solving ۲-D gravity inversion problems using a PDE model in geophysics exploration

سال انتشار: 1401
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 124

فایل این مقاله در 5 صفحه با فرمت PDF قابل دریافت می باشد

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این مقاله:

شناسه ملی سند علمی:

JR_IJMGE-56-3_001

تاریخ نمایه سازی: 27 مهر 1401

چکیده مقاله:

Inverse modeling is one of the useful solutions to create a logical model with relationships between observed and measured values. In geophysical and subsurface investigations such as cavities or mineral explorations, solving inverse problems using problem physics in a partial differential equation (PDE) system is very important. In this research, COMSOL multiphysics’ optimization interface, combined with a PDE or physics interface, was used to solve inverse-modeling problems. Also, a framework is presented to solve undetermined inverse problems using COMSOL multiphysics’ optimization. COMSOL multiphysics does not include a gravity calculation module. However, since Poisson’s equation governs gravity and electrostatics, a gravity model can be created in the electrostatics module by changing the electrical permittivity value. We present a general adjoint state formulation that may be used in this framework and allows for faster calculation of sensitivity matrices in a variety of commonly encountered underdetermined problems. First of all, ۲D inversion of gravity data has been run and validated in COMSOL multiphysics software using one synthetic model and synthetic data in a forward modeling process. Afterward, using real gravity data surveyed along a cross-section of the sinkholes in the NW of Abarkuh, the lateral structure and subsurface cavities were estimated. The inverted gravitational acceleration values, then cross-correlated with observed gravity data and available surface pieces of evidence such as sinkholes and circular structures. The results indicated that our COMSOL-based routines for the solution of PDE-based inverse problems using adjoint states, while high in computational speed, can be used in modeling a wide range of physical systems governed by the partial differential equation laws and also can accurately discriminate between low-density contrast regions and background.

نویسندگان

Ali Pasyar

Faculty of Mining and Metallurgical Engineering, Yazd University, Yazd, Iran

Abdolhamid Ansari

Faculty of Mining and Metallurgical Engineering, Yazd University, Yazd, Iran

Ahmad Ghorbani

Faculty of Mining and Metallurgical Engineering, Yazd University, Yazd, Iran

مراجع و منابع این مقاله:

لیست زیر مراجع و منابع استفاده شده در این مقاله را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود مقاله لینک شده اند :
  • Zhang, J., Wang, C.-Y., Shi, Y., Cai, Y., Chi, W.-C., ...
  • Farquharson, C.G., Mosher, C.R.W., ۲۰۰۹. Three-dimensional modeling of gravity data ...
  • COMSOL Multiphysics, User’s Guide, ۲۰۱۷. Version ۵.۲, COMSOL AB, Stockholm, ...
  • Butler, S.L., Sinha, G., ۲۰۱۲. Forward modeling of applied geophysics ...
  • Cardiff, M., Kitanidis, P.K., ۲۰۰۸. Efficient solution of nonlinear, underdetermined ...
  • Kalavagunta, A., Weller, R.A., ۲۰۰۵. Accurate geometry factor estimation for ...
  • Park, J., Bjornara, T.I., Farrelly, B.A., ۲۰۱۰. Absorbing boundary domain ...
  • Volkmann, J., Mohnke, O., Klitzsh, N., Blaschek, R., ۲۰۰۸. Microscale ...
  • Stoll, J.B., ۲۰۰۵. FE-modelling of electrical borehole tool responses. In: ...
  • Braun, M., Rommel, I., Yaramanci, U., ۲۰۰۵. Modeling of magnetic ...
  • Telford, W.M., Geldart, L.P., Sheriff, RE., ۱۹۹۰. Applied Geophysics, ۲nd ...
  • Jackson, J.D., ۱۹۹۸. Classical Electrodynamics, Wiley, New York ...
  • Kitanidis, P.K., ۱۹۹۵. Quasi-linear Geostatistical Theory for Inversing. Water Resources ...
  • Madsen, K, Nielsen, H.B., and Tingleff, , ۲۰۰۴. Methods for ...
  • نمایش کامل مراجع