نشریه ژئومکانیک و ژئوانرژی

نشریه ژئومکانیک و ژئوانرژی

معیارهای انتخاب موجک مادر برای تبدیل موجک سیگنال‌های انتشار اکوستیک در تخمین تنش سنگ

نوع مقاله : مقاله پژوهشی

نویسندگان
1 هیات علمی دانشگاه صنعتی شاهرود
2 گروه کامپیتر. دانشگاه آزاد شمال تهران
3 گروه مهندسی معدن-دانشگاه آزاد علوم تحقیقات تهران
10.22107/ggj.2026.604975.1274
چکیده
تعیین تنش درجا برای طیف وسیعی از کاربردها در مهندسی نفت، معدن و عمران ضروری است. روش‌های متداول اندازه‌گیری تنش معمولاً زمان‌بر و پرهزینه هستند؛ از این رو، توجه به روش‌های جایگزین مبتنی بر مغزه افزایش یافته است. در این میان، روش انتشار اکوستیک (AE) که از «اثر کایزر» بهره می‌برد، رویکردی کاربردی و کم‌هزینه‌تر ارائه می‌دهد. سیگنال‌های AE را می‌توان با استفاده از روش‌های پارامتریک یا تکنیک‌های پردازش سیگنال تحلیل کرد؛ روش دوم به دلیل قابلیت استخراج اطلاعات دقیق فرکانسی و انرژی از شکل‌موج‌های ثبت‌شده، توجه فزاینده‌ای را به خود جلب کرده است. تبدیل موجک به دلیل قابلیت چند ریزبینی، برای تحلیل سیگنال‌های AE بسیار مناسب است؛ با این حال، دقت نتایج به‌شدت به انتخاب «موجک مادر» مناسب بستگی دارد. در این مطالعه، از سه معیار شامل نسبت سیگنال به نویز (SNR)، ضریب همبستگی (CC) بین سیگنال اصلی و سیگنال نویززدایی‌شده، و نسبت انرژی به آنتروپی شانون برای ارزیابی و رتبه‌بندی موجک‌های مادر کاندیدا استفاده شد. آزمایش‌های کشش برزیلی همراه با پایش همزمان AE بر روی نمونه‌های سنگی انجام گرفت. نتایج ارزیابی نشان داد که موجک‌های db5 و db6 مناسب‌ترین گزینه‌ها برای تحلیل سیگنال‌های AE در این نوع سنگ هستند. برای اعتبارسنجی این یافته‌ها، نقطه اثر کایزر به‌طور مستقل با استفاده از تبدیل موجک پیوسته (CWT) و با به‌کارگیری موجک db5 تعیین شد که نتایج آن با نتایج حاصل از روش پارامتریک همخوانی داشت. همچنین، میزان تنش برآوردشده از نقطه اثر کایزر با تنش پیش‌بارگذاریِ معلوم مطابقت خوبی نشان داد و قابلیت اطمینان رویکرد مبتنی بر موجک را تأیید کرد
کلیدواژه‌ها
موضوعات

عنوان مقاله English

Mother Wavelet Selection Criteria for Wavelet Transform of Acoustic Emission Signals in Rock Stress Estimation

نویسندگان English

majid nikkhah 1
sanaz Bakhshi 2
Mohammadmahdi Dinmohammadpour 3
1 faculty
2 Department of Computer and Information Technology Engineering,North Tehran Branch, Islamic Azad University, Iran
3 Science and Research Branch, Islamic Azad University, Tehran
چکیده English

Determining in situ stress is essential for a wide range of petroleum, mining and civil engineering applications. Conventional stress measurement methods are generally time-consuming and costly, which has increased interest in core-based alternatives. Among these, the acoustic emission (AE) method exploiting the Kaiser effect offers a practical and less expensive approach. AE signals can be analyzed either through parametric methods or signal processing techniques; the latter has attracted growing attention due to its capacity to extract detailed frequency and energy information from the recorded waveforms. The wavelet transform is particularly well-suited to AE signal analysis owing to its multi-resolution capability; however, the accuracy of the results depends critically on the selection of an appropriate mother wavelet. In this study, three objective criteria signal-to-noise ratio (SNR), correlation coefficient (CC) between the original and denoised signals, and energy-to-Shannon-entropy ratio were used to evaluate and rank candidate mother wavelets. Brazilian tensile tests with simultaneous AE monitoring were conducted on rock specimens. The evaluation results identified db5 and db6 as the most suitable mother wavelets for AE signal analysis in this rock type. To validate these findings, the Kaiser effect point was independently identified using continuous wavelet transform (CWT) with db5, yielding results consistent with those obtained by the parametric method. The stress estimated from the Kaiser effect point also showed good agreement with the known preloading stress, confirming the reliability of the wavelet-based approach.

کلیدواژه‌ها English

Acoustic emission
Wavelet transform
Signal processing
Rock mass
in situ stress
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