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The moment magnitude scale ( MMS ; denoted explicitly with M or M w   or Mwg , and generally implied with use of a single M for magnitude ) is a measure of an earthquake 's magnitude ("size" or strength) based on its seismic moment . M w   was defined in a 1979 paper by Thomas C. Hanks and Hiroo Kanamori . Similar to the local magnitude/Richter scale (M L  ) defined by Charles Francis Richter in 1935, it uses a logarithmic scale ; small earthquakes have approximately the same magnitudes on both scales. Despite the difference, news media often use the term "Richter scale" when referring to the moment magnitude scale.

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93-406: Takhar ( Dari / Pashto : تخار ) is one of the thirty-four provinces of Afghanistan , located in the northeast of the country next to Tajikistan . It is surrounded by Badakhshan in the east, Panjshir in the south, and Baghlan and Kunduz in the west. The city of Taloqan serves as its capital. The province contains 17 districts , over 1,000 villages, and approximately 1,113,173 people, which

186-461: A certain rate. Charles F. Richter then worked out how to adjust for epicentral distance (and some other factors) so that the logarithm of the amplitude of the seismograph trace could be used as a measure of "magnitude" that was internally consistent and corresponded roughly with estimates of an earthquake's energy. He established a reference point and the ten-fold (exponential) scaling of each degree of magnitude, and in 1935 published what he called

279-504: A constant term ( W 0 / M o  = 5 × 10 ) in Eq. (A) and estimated M s and denoted as M w (dyn.cm). The energy Eq. (A) is derived by substituting m  = 2.5 + 0.63 M in the energy equation Log E  = 5.8 + 2.4 m (Richter 1958), where m is the Gutenberg unified magnitude and M is a least squares approximation to the magnitude determined from surface wave magnitudes. After replacing

372-679: A distinction between varieties of the Sistan region and the varieties in the Western group. However Encyclopaedia Iranica considers the Sistani dialect to constitute their own distinctive group, with notable influences from Balochi . Dari does not distinguish [ ɪ ] and [ ɛ ] in any position, these are distinct phonemes in English but are in un-conditional free variation in nearly all dialects of Dari. There are no environmental factors related to

465-500: A double couple, but not from a single couple. This was confirmed as better and more plentiful data coming from the World-Wide Standard Seismograph Network (WWSSN) permitted closer analysis of seismic waves. Notably, in 1966 Keiiti Aki showed that the seismic moment of the 1964 Niigata earthquake as calculated from the seismic waves on the basis of a double couple was in reasonable agreement with

558-418: A general solution in 1964 by Burridge and Knopoff, which established the relationship between double couples and the theory of elastic rebound, and provided the basis for relating an earthquake's physical features to seismic moment. Seismic moment – symbol M 0   – is a measure of the fault slip and area involved in the earthquake. Its value is the torque of each of the two force couples that form

651-444: A modern dialect form of Persian that is the standard language used in administration, government, radio, television, and print media. Because of a preponderance of Dari native speakers, who normally refer to the language as Farsi ( فارسی , "Persian"), it is also known as "Afghan Persian" in some Western sources. There are different opinions about the origin of the word Dari . The majority of scholars believe that Dari refers to

744-528: A nearly identical categorization but considered varieties spoken in the Sistan region to constitute a distinct group. Takhar and the MOE only discussed vocabulary differences between the dialect groups and did not extensively discuss phonological differences between these groups. However there was a noticeable difference in the romanizations of the Western dialects and the South-Eastern dialects. Chiefly that

837-900: A police checkpoint in the Kalafgan district . This was the first time since the fall of Taliban regime in 2001 that the Taliban insurgents engaged police in this province. Mullah Usman was the most senior Taliban commander in the northeast region of Afghanistan, according to the Afghan Interior Ministry . In May 2009, Taliban insurgents fighting Afghan government attacked the Baharak district in Takhar province. A bomb attack on 28 May 2011 killed General Shahjahan Noori , Mohammed Daud Daud and injured Governor Taqwa. Several German soldiers and Afghans were also killed. In April 2012,

930-402: A portion Δ W {\displaystyle \Delta W} of this stored energy is transformed into The potential energy drop caused by an earthquake is related approximately to its seismic moment by where σ ¯ {\displaystyle {\overline {\sigma }}} is the average of the absolute shear stresses on the fault before and after

1023-600: A prominent figure, leading the second resistance to support security forces and prevent the Taliban from taking control of Taluqan city. Despite the Taliban eventually gaining control of the province on August 8, 2021, the Resistance Forces have remained present in the area. On 26 October, the 7.5 Mw Hindu Kush earthquake shook northern Afghanistan with a maximum Mercalli intensity of VIII ( Severe ). This earthquake destroyed almost 30,000 homes, left several hundred dead, and more than 1,700 injured. As of 2021,

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1116-630: A shared heritage that includes thinkers, writers, and poets of the Farsi language against those who believe that Dari has older roots and provides a distinct identity that cannot be confused with Iran's claim. Moment magnitude scale Moment magnitude (M w  ) is considered the authoritative magnitude scale for ranking earthquakes by size. It is more directly related to the energy of an earthquake than other scales, and does not saturate – that is, it does not underestimate magnitudes as other scales do in certain conditions. It has become

1209-449: A single couple model. In principle these models could be distinguished by differences in the radiation patterns of their S-waves , but the quality of the observational data was inadequate for that. The debate ended when Maruyama (1963), Haskell (1964), and Burridge and Knopoff (1964) showed that if earthquake ruptures are modeled as dislocations the pattern of seismic radiation can always be matched with an equivalent pattern derived from

1302-439: A three-decade-long controversy over the best way to model the seismic source: as a single couple, or a double couple. While Japanese seismologists favored the double couple, most seismologists favored the single couple. Although the single couple model had some shortcomings, it seemed more intuitive, and there was a belief – mistaken, as it turned out – that the elastic rebound theory for explaining why earthquakes happen required

1395-465: A wide area in the west of Kabul which is mainly recognized as Dashti Barchi, and some regions near Herat . As a group, the Hazaragi varieties are distinguished by the presence of retroflex consonants and distinctive vocabulary. However it has been shown that Hazaragi is more accurately a sub-dialect of Dari rather than its own variety of Persian. Afghanistan's Ministry of Education does not make

1488-638: Is multi-ethnic and mostly a rural society. Between the early 16th century and the mid-18th century, the territory was ruled by the Khanate of Bukhara . It was given to Ahmad Shah Durrani by Murad Beg of Bukhara after a treaty of friendship was reached in or about 1750, and became part of the Durrani Empire . It was ruled by the Durranis followed by the Barakzai dynasty and was untouched by

1581-452: Is a measure of the work (more precisely, the torque ) that results in inelastic (permanent) displacement or distortion of the Earth's crust. It is related to the total energy released by an earthquake. However, the power or potential destructiveness of an earthquake depends (among other factors) on how much of the total energy is converted into seismic waves. This is typically 10% or less of

1674-429: Is approximately related to seismic moment by where η R = E s / ( E s + E f ) {\displaystyle \eta _{R}=E_{s}/(E_{s}+E_{f})} is radiated efficiency and Δ σ s {\displaystyle \Delta \sigma _{s}} is the static stress drop, i.e., the difference between shear stresses on

1767-485: Is challenging as the source events cannot be observed directly, and it took many years to develop the mathematics for understanding what the seismic waves from an earthquake can tell about the source event. An early step was to determine how different systems of forces might generate seismic waves equivalent to those observed from earthquakes. The simplest force system is a single force acting on an object. If it has sufficient strength to overcome any resistance it will cause

1860-505: Is complete and ignores fracture energy), (where E is in Joules and M 0   is in N ⋅ {\displaystyle \cdot } m), Kanamori approximated M w   by The formula above made it much easier to estimate the energy-based magnitude M w  , but it changed the fundamental nature of the scale into a moment magnitude scale. USGS seismologist Thomas C. Hanks noted that Kanamori's M w   scale

1953-687: Is its conservative nature compared to, for example, the Tehrani dialect. This can be seen in its Phonology (e.g. it's preservation of "Majhul" vowels), Morhphonology and Syntax, and it's Lexicon. A further distinction may be made between varieties in and near Kabul and varieties in and near Afghan Turkistan. With dialects near Kabul exhibiting some influences from languages in southern Afghanistan and South Asia and dialects in Afghan Turkistan exhibiting more influence from Tajik . All South-Eastern varieties exhibited some influence from Uzbek . Despite

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2046-426: Is only valid for (≤ 7.0). Seismic moment is not a direct measure of energy changes during an earthquake. The relations between seismic moment and the energies involved in an earthquake depend on parameters that have large uncertainties and that may vary between earthquakes. Potential energy is stored in the crust in the form of elastic energy due to built-up stress and gravitational energy . During an earthquake,

2139-495: Is sugar  – Rhyme method in Dari is sweeter Uzūbat usually means "bliss", "delight", "sweetness"; in language, literature and poetry, uzubat also means "euphonious" or "melodic". Referring to the 14th-century Persian poet Hafez , Iqbal wrote: شکرشکن شوند همه طوطیان هند Šakkar-šakan šavand hama tūtīyān-i Hind زین قند پارسی که به بنگاله می‌رود zīn qand-i Pārsī ki ba Bangāla mē-ravad English translation: All

2232-463: Is technically difficult since it involves the integration of wave energy over the entire frequency band. To simplify this calculation, he noted that the lowest frequency parts of the spectrum can often be used to estimate the rest of the spectrum. The lowest frequency asymptote of a seismic spectrum is characterized by the seismic moment , M 0  . Using an approximate relation between radiated energy and seismic moment (which assumes stress drop

2325-730: Is the variety of the Persian language spoken in Afghanistan . Dari Persian is the Afghan government's official term for the Persian language; it is known as Afghan Persian or Eastern Persian in many Western sources. The decision to rename the local variety of Persian in 1964 was more political than linguistic to support an Afghan state narrative. Dari Persian is most closely related to Tajiki Persian as spoken in Tajikistan and

2418-468: Is the common language spoken in cities such as Balkh , Mazar-i-Sharif , Herat , Fayzabad , Panjshir , Bamiyan , and the Afghan capital of Kabul where all ethnic groups are settled. Dari Persian-speaking communities also exist in southwestern and eastern Pashtun-dominated areas such as in the cities of Ghazni , Farah , Zaranj , Lashkar Gah , Kandahar , and Gardez . Dari Persian has contributed to

2511-631: Is the language of the cities of Madā'en; it is spoken by those who are at the king's court. [Its name] is connected with presence at court. Among the languages of the people of Khorasan and the east, the language of the people of Balkh is predominant." Dari Persian spoken in Afghanistan is not to be confused with the language of Iran called Dari or Gabri, which is a language of the Central Iranian subgroup spoken in some Zoroastrian communities. Dari comes from Middle Persian which

2604-620: Is the same for all earthquakes, one can consider M w   as a measure of the energy E s radiated by earthquakes. Under these assumptions, the following formula, obtained by solving for M 0   the equation defining M w  , allows one to assess the ratio E 1 / E 2 {\displaystyle E_{1}/E_{2}} of energy release (potential or radiated) between two earthquakes of different moment magnitudes, m 1 {\displaystyle m_{1}} and m 2 {\displaystyle m_{2}} : As with

2697-420: Is thus poorly known. It could vary highly from one earthquake to another. Two earthquakes with identical M 0 {\displaystyle M_{0}} but different σ ¯ {\displaystyle {\overline {\sigma }}} would have released different Δ W {\displaystyle \Delta W} . The radiated energy caused by an earthquake

2790-402: The 2004 Constitution of Afghanistan , Dari Persian is one of the two official languages of Afghanistan; the other is Pashto . Dari Persian is the most widely spoken language in Afghanistan and the native language of approximately 25–55% of the population . Dari Persian serves as the lingua franca of the country and is understood by up to 78% of the population. Dari Persian served as

2883-549: The British during the three Anglo-Afghan wars that were fought in the 19th and early 20th centuries. It was established in 1964 when Qataghan Province was divided into three provinces: Baghlan, Kunduz and Takhar. During the 1980s Soviet–Afghan War , the area fell under the influence of Rabbani and Ahmad Shah Massoud . It was controlled by the Northern Alliance in the 1990s. It experienced some fighting between

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2976-687: The ezāfe ) have often been employed to coin words for political and cultural concepts, items, or ideas that were historically unknown outside the South Asian region, as is the case with the aforementioned "borrowings". Dari Persian has a rich and colorful tradition of proverbs that deeply reflect Afghan culture and relationships, as demonstrated through the works of Rumi and other literature. There are phonological, lexical, and morphological differences between Afghan Persian and Iranian Persian. For example Afghan Farsi has more vowels than Iranian Farsi. However, there are no significant differences in

3069-494: The "magnitude scale", now called the local magnitude scale , labeled M L  . (This scale is also known as the Richter scale , but news media sometimes use that term indiscriminately to refer to other similar scales.) The local magnitude scale was developed on the basis of shallow (~15 km (9 mi) deep), moderate-sized earthquakes at a distance of approximately 100 to 600 km (62 to 373 mi), conditions where

3162-621: The 1970s, introducing a separate magnitude associated to radiated energy was warranted. Choy and Boatwright defined in 1995 the energy magnitude where E s {\displaystyle E_{\mathrm {s} }} is in J (N·m). Assuming the values of σ̄/μ are the same for all earthquakes, one can consider M w   as a measure of the potential energy change Δ W caused by earthquakes. Similarly, if one assumes η R Δ σ s / 2 μ {\displaystyle \eta _{R}\Delta \sigma _{s}/2\mu }

3255-627: The Afghanistan Ministry of Education referring to this group as "South-Eastern" some of the varieties included are in the north. As seen in many Hazaragi varieties, certain Eastern Dialects have developed a system of retroflex consonants under pressure from Pashto. They are not widespread, however. The Kabuli dialect has become the standard model of Dari Persian in Afghanistan, as has the Tehrani dialect in relation to

3348-630: The Afghanistan government forces to reclaim control of the northeastern province from the Taliban. International Security Assistance Force (ISAF) took over security responsibility of the area in the early 2000s, which was led by Germany . The province also began to see some developments and the establishment of Afghan National Security Forces (ANSF). In a small incident in July 2008, the Afghan National Police killed Mullah Usman when several armed Taliban militants under his command raided

3441-669: The Northern Alliance and the Taliban forces. Takhar holds notoriety as the location where Mujahideen Commander Ahmad Shah Massoud was assassinated on 9 September 2001 by suspected al-Qaeda agents. Following the September 11 attacks, commonly known as 9/11, and amidst the United States' intervention, General Mohamad Daud and General Shajahan Noori, both widely recognized figures, played instrumental roles in leading

3534-720: The Oxus River region, Afghanistan, and Khorasan after the Arab conquests and during Islamic-Arab rule. The replacement of the Pahlavi script with the Arabic script in order to write the Persian language was done by the Tahirids in 9th century Khorasan. Dari Persian spread and led to the extinction of Eastern Iranian languages like Bactrian and Khwarezmian with only a tiny amount of Sogdian descended Yaghnobi speakers remaining, as

3627-716: The Persian in Iran. Since the 1940s, Radio Afghanistan has broadcast its Dari programs in Kabuli Dari, which ensured the homogenization between the Kabuli version of the language and other dialects of Dari Persian spoken throughout Afghanistan. Since 2003, the media, especially the private radio and television broadcasters , have carried out their Dari programs using the Kabuli variety. The Western group includes various varieties spoken in and around: Herat , Badghis , Farah and Ghor . Varieties in this group share many features with

3720-556: The Persian word dar or darbār ( دربار ), meaning "court", as it was the formal language of the Sassanids . The original meaning of the word dari is given in a notice attributed to Ibn al-Muqaffaʿ (cited by Ibn al-Nadim in Al-Fehrest ). According to him, " Pārsī was the language spoken by priests, scholars, and the like; it is the language of Fars ." This language refers to Middle Persian . As for Dari , he says, "it

3813-457: The Richter scale, an increase of one step on the logarithmic scale of moment magnitude corresponds to a 10 ≈ 32 times increase in the amount of energy released, and an increase of two steps corresponds to a 10 = 1000 times increase in energy. Thus, an earthquake of M w   of 7.0 contains 1000 times as much energy as one of 5.0 and about 32 times that of 6.0. To make the significance of

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3906-592: The ancestors of Tajiks started speaking Dari after relinquishing their original language (most likely Bactrian) around this time, due to the fact that the Arab-Islamic army which invaded Central Asia also included some Persians who governed the region like the Sassanids . Persian was a prestigious high-ranking language and was further rooted into Central Asia by the Samanids. Persian also phased out Sogdian. The role of lingua franca that Sogdian originally played

3999-515: The appearance of [ ɪ ] or [ ɛ ] and native Dari speakers do not perceive them as different phonemes (that is to say, the English words bet [b ɛ t] and bit [b ɪ t] would be nearly indistinguishable to a native Dari speaker). However, speakers in Urban regions of Kabul, Panjšir and other nearby provinces in southern and eastern Afghanistan tend to realize the vowel as [ ɪ ]. Speakers of Dari in central Afghanistan (i.e. Hazaragi speakers) tend to realize

4092-569: The deficiencies of the M L   scale, but all are subject to saturation. A particular problem was that the M s   scale (which in the 1970s was the preferred magnitude scale) saturates around M s  8.0 and therefore underestimates the energy release of "great" earthquakes such as the 1960 Chilean and 1964 Alaskan earthquakes. These had M s   magnitudes of 8.5 and 8.4 respectively but were notably more powerful than other M 8 earthquakes; their moment magnitudes were closer to 9.6 and 9.3, respectively. The study of earthquakes

4185-1014: The dialect of Dari spoken in Western Afghanistan stands in between the Afghan and Iranian Persian. For instance, the Herati dialect shares vocabulary and phonology with both Afghan and Iranian Persian. Likewise, the dialect of Persian in Eastern Iran, for instance in Mashhad , is quite similar to the Herati dialect of Afghanistan. In a paper jointly published by Takhar University and the Ministry of Education in 2018, researchers studying varieties of Persian from Iran to Tajikistan, Identified 3 dialect groups (or macro dialects) present within Afghanistan. In an article about various languages spoken in Afghanistan, Encyclopaedia Iranica identified

4278-510: The dialects of Persian spoken in Eastern Iran, and one may make many comparisons between the speech of Herat and Mashhad . The third group recognized by Afghanistan Ministry of Education is Hazaragi . Spoken by the Hazara people , these varieties are spoken in the majority of central Afghanistan including: Bamyan , parts of Ghazni , Daikundi, Laal Sari Jangal in Ghor province, 'uruzgan khas', in

4371-428: The earthquake (e.g., equation 3 of Venkataraman & Kanamori 2004 ) and μ {\displaystyle \mu } is the average of the shear moduli of the rocks that constitute the fault. Currently, there is no technology to measure absolute stresses at all depths of interest, nor method to estimate it accurately, and σ ¯ {\displaystyle {\overline {\sigma }}}

4464-399: The earthquake's equivalent double-couple. (More precisely, it is the scalar magnitude of the second-order moment tensor that describes the force components of the double-couple. ) Seismic moment is measured in units of Newton meters (N·m) or Joules , or (in the older CGS system) dyne-centimeters (dyn-cm). The first calculation of an earthquake's seismic moment from its seismic waves

4557-409: The energy released, and the stress drop (essentially how much of the potential energy was released). In particular, he derived an equation that relates an earthquake's seismic moment to its physical parameters: with μ being the rigidity (or resistance to moving) of a fault with a surface area of S over an average dislocation (distance) of ū . (Modern formulations replace ūS with

4650-487: The equivalent D̄A , known as the "geometric moment" or "potency". ) By this equation the moment determined from the double couple of the seismic waves can be related to the moment calculated from knowledge of the surface area of fault slippage and the amount of slip. In the case of the Niigata earthquake the dislocation estimated from the seismic moment reasonably approximated the observed dislocation. Seismic moment

4743-460: The fact that they only provided a comparison of the amplitude of waves produced at a standard distance and frequency band; it was difficult to relate these magnitudes to a physical property of the earthquake. Gutenberg and Richter suggested that radiated energy E s could be estimated as (in Joules). Unfortunately, the duration of many very large earthquakes was longer than 20 seconds, the period of

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4836-1161: The fault before and after the earthquake (e.g., from equation 1 of Venkataraman & Kanamori 2004 ). These two quantities are far from being constants. For instance, η R {\displaystyle \eta _{R}} depends on rupture speed; it is close to 1 for regular earthquakes but much smaller for slower earthquakes such as tsunami earthquakes and slow earthquakes . Two earthquakes with identical M 0 {\displaystyle M_{0}} but different η R {\displaystyle \eta _{R}} or Δ σ s {\displaystyle \Delta \sigma _{s}} would have radiated different E s {\displaystyle E_{\mathrm {s} }} . Because E s {\displaystyle E_{\mathrm {s} }} and M 0 {\displaystyle M_{0}} are fundamentally independent properties of an earthquake source, and since E s {\displaystyle E_{\mathrm {s} }} can now be computed more directly and robustly than in

4929-789: The fifteenth century it appeared in Herat under the Persian-speaking Timurid dynasty . The Persian-language poets of the Mughal Empire who used the Indian verse methods or rhyme methods, like Bedil and Muhammad Iqbal , became familiar with the araki form of poetry. Iqbal loved both styles of literature and poetry, when he wrote: گرچه هندی در عذوبت شکر است Garče Hendī dar uzūbat šakkar ast طرز گفتار دری شیرین تر است tarz-e goftār-e Darī šīrīn tar ast This can be translated as: Even though in euphonious Hindi

5022-457: The increased number of Persian speakers within Afghanistan. The World Factbook states that about 80% of the Afghan population speaks Dari Persian. About 2.5 million Afghans in Iran and Afghans in Pakistan , part of the wider Afghan diaspora , also speak Dari Persian as one of their primary languages. Dari Persian dominates the northern, western, and central areas of Afghanistan, and

5115-447: The interactions of forces) this model is called a couple , also simple couple or single couple . If a second couple of equal and opposite magnitude is applied their torques cancel; this is called a double couple . A double couple can be viewed as "equivalent to a pressure and tension acting simultaneously at right angles". The single couple and double couple models are important in seismology because each can be used to derive how

5208-814: The introduction of Persian language into the subcontinent was set, from its earliest days, by various Persianized Central Asian Turkic and Afghan dynasties. The sizable Persian component of the Anglo-Indian loan words in English and in Urdu therefore reflects the Dari Persian pronunciation. For instance, the words dopiaza and pyjama come from the Afghan Persian pronunciation; in Iranian Persian they are pronounced do-piyāzeh and pey-jāmeh . Persian lexemes and certain morphological elements (e.g.,

5301-675: The language of the Achaemenids (550–330 BC). In historical usage, Dari refers to the Middle Persian court language of the Sassanids . Dari is a name given to the New Persian language since the 10th century, widely used in Arabic (compare Al-Estakhri , Al-Muqaddasi and Ibn Hawqal ) and Persian texts. Since 1964, it has been the official name in Afghanistan for the Persian spoken there. In Afghanistan, Dari refers to

5394-449: The latter would henceforth be named Dari. Within their respective linguistic boundaries, Dari Persian and Pashto are the media of education. The term continues to divide opinion in Afghanistan today. While Dari has been the official name for decades, "Farsi" is still the preferred name to many Persian speakers of Afghanistan. Omar Samad , an Afghan analyst and ambassador, says of the dispute: This debate pits those who look at language as

5487-511: The local magnitude and the surface wave magnitude. Thus, a magnitude zero microearthquake has a seismic moment of approximately 1.1 × 10  N⋅m , while the Great Chilean earthquake of 1960, with an estimated moment magnitude of 9.4–9.6, had a seismic moment between 1.4 × 10  N⋅m and 2.8 × 10  N⋅m . Seismic moment magnitude ( M wg or Das Magnitude Scale ) and moment magnitude ( M w ) scales To understand

5580-416: The magnitude range 5.0 ≤  M s  ≤ 7.5 is not reliable due to the inconsistency of defined magnitude range (moderate to large earthquakes defined as M s  ≤ 7.0 and M s  = 7–7.5) and scarce data in lower magnitude range (≤ 7.0) which rarely represents the global seismicity (e.g., see Figs. 1A, B, 4 and Table 2 of Percaru and Berckhemer 1978). Furthermore, Equation (1) of Percaru and Berckhemer 1978)

5673-710: The magnitude scales based on M o detailed background of M wg and M w scales is given below. M w scale Hiroo Kanamori defined a magnitude scale (Log W 0  = 1.5 M w  + 11.8, where W 0 is the minimum strain energy) for great earthquakes using Gutenberg Richter Eq. (1). Log Es = 1.5 Ms + 11.8                                                                                     (A) Hiroo Kanamori used W 0 in place of E s (dyn.cm) and consider

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5766-427: The magnitude value plausible, the seismic energy released during the earthquake is sometimes compared to the effect of the conventional chemical explosive TNT . The seismic energy E S {\displaystyle E_{\mathrm {S} }} results from the above-mentioned formula according to Gutenberg and Richter to or converted into Hiroshima bombs: For comparison of seismic energy (in joules) with

5859-563: The majority of Persian borrowings in several Indo-Aryan languages , such as Urdu , Hindi , Punjabi , Bengali and others, as it was the administrative, official, cultural language of the Persianate Mughal Empire and served as the lingua franca throughout the Indian subcontinent for centuries. Often based in Afghanistan , Turkic Central Asian conquerors brought the language into South Asia. The basis in general for

5952-410: The moment magnitude scale is M w  , with the subscript "w" meaning mechanical work accomplished. The moment magnitude M w   is a dimensionless value defined by Hiroo Kanamori as where M 0   is the seismic moment in dyne ⋅cm (10  N⋅m). The constant values in the equation are chosen to achieve consistency with the magnitude values produced by earlier scales, such as

6045-463: The object to move ("translate"). A pair of forces, acting on the same "line of action" but in opposite directions, will cancel; if they cancel (balance) exactly there will be no net translation, though the object will experience stress, either tension or compression. If the pair of forces are offset, acting along parallel but separate lines of action, the object experiences a rotational force, or torque . In mechanics (the branch of physics concerned with

6138-567: The parrots of India will crack sugar Through this Persian Candy which is going to Bengal Here qand-e Pārsī (" Rock candy of Persia") is a metaphor for the Persian language and poetry. Persian replaced the Central Asian languages of the Eastern Iranics. Ferghana, Samarkand, and Bukhara were starting to be linguistically Darified in originally Khorezmian and Soghdian areas during Samanid rule. Dari Persian spread around

6231-505: The post-Sassanid period, and the New era being the period afterward down to the present day. The first person in Europe to use the term Deri for Dari may have been Thomas Hyde in his chief work, Historia religionis veterum Persarum (1700). Dari or Deri has two meanings. It may mean the language of the court: It may also indicate a form of poetry used from Rudaki to Jami . In

6324-598: The preferred literary and administrative language among non-native speakers, such as the Turco-Mongol peoples including the Mughals , for centuries before the rise of modern nationalism. Also, like Iranian Persian and Tajiki Persian , Dari Persian is a continuation of Middle Persian , the official religious and literary language of the Sassanian Empire (224–651 AD), itself a continuation of Old Persian ,

6417-581: The ratio of seismic Energy ( E ) and Seismic Moment ( M o ), i.e., E / M o  = 5 × 10 , into the Gutenberg–Richter energy magnitude Eq. (A), Hanks and Kanamori provided Eq. (B): Log M0 = 1.5 Ms + 16.1                                                                                   (B) Note that Eq. (B)

6510-585: The region. The Takcha Khanna salt mine is one of the growing number of salt supplier, for the population of Takhar and northern Afghanistan. While the mines offer economic opportunities in the region, the availability of iodized salt considerably reduces the prevalence of health problems related to iodine deficiency. Dari Dari ( / ˈ d ɑː r i , ˈ d æ -/ ; endonym : دری [d̪ɐˈɾiː] ), Dari Persian ( فارسی دری , Fārsī-yi Darī , [fʌːɾˈsiːjɪ d̪ɐˈɾiː] or Fārsī-ye Darī , [fʌːɾˈsiːjɛ d̪ɐˈɾiː] ), or Eastern Persian

6603-548: The region. The local population considers gold the most relevant resource for the Province. Gold is being washed in Takhar River, and about 2 kg are being transported to the specific weekly markets in the city of Taloqan. Also the city is a main source of construction materials like: loam, sand, and different types of stones. Takhar province is known for its salt mountains and you can find large deposits of fine salt in

6696-466: The seismic moment calculated from the observed physical dislocation. A double couple model suffices to explain an earthquake's far-field pattern of seismic radiation, but tells us very little about the nature of an earthquake's source mechanism or its physical features. While slippage along a fault was theorized as the cause of earthquakes (other theories included movement of magma, or sudden changes of volume due to phase changes ), observing this at depth

6789-430: The seismic waves generated by an earthquake event should appear in the "far field" (that is, at distance). Once that relation is understood it can be inverted to use the earthquake's observed seismic waves to determine its other characteristics, including fault geometry and seismic moment. In 1923 Hiroshi Nakano showed that certain aspects of seismic waves could be explained in terms of a double couple model. This led to

6882-584: The seismological parameter it is based on, is not measured routinely for smaller quakes. For example, the United States Geological Survey does not use this scale for earthquakes with a magnitude of less than 3.5, which includes the great majority of quakes. Popular press reports most often deal with significant earthquakes larger than M~ 4. For these events, the preferred magnitude is the moment magnitude M w  , not Richter's local magnitude M L  . The symbol for

6975-418: The standard scale used by seismological authorities like the U.S. Geological Survey for reporting large earthquakes (typically M > 4), replacing the local magnitude (M L  ) and surface-wave magnitude (M s  ) scales. Subtypes of the moment magnitude scale (M ww  , etc.) reflect different ways of estimating the seismic moment. At the beginning of the twentieth century, very little

7068-433: The surface waves are predominant. At greater depths, distances, or magnitudes the surface waves are greatly reduced, and the local magnitude scale underestimates the magnitude, a problem called saturation . Additional scales were developed – a surface-wave magnitude scale ( M s ) by Beno Gutenberg in 1945, a body-wave magnitude scale ( mB ) by Gutenberg and Richter in 1956, and a number of variants – to overcome

7161-459: The surface waves used in the measurement of M s  . This meant that giant earthquakes such as the 1960 Chilean earthquake (M 9.5) were only assigned an M s  8.2. Caltech seismologist Hiroo Kanamori recognized this deficiency and took the simple but important step of defining a magnitude based on estimates of radiated energy, M w  , where the "w" stood for work (energy): Kanamori recognized that measurement of radiated energy

7254-596: The time of the Delhi Sultanate (1206–1526), even as those governments were dominated by Pashtun people. Sher Ali Khan of the Barakzai dynasty (1826–1973) first introduced the Pashto language as an additional language of administration. The local name for the Persian variety spoken in Afghanistan was officially changed from Farsi to Dari, meaning "court language", in 1964. Zaher said there would be, as there are now, two official languages, Pashto and Farsi, though

7347-445: The total energy, the rest being expended in fracturing rock or overcoming friction (generating heat). Nonetheless, seismic moment is regarded as the fundamental measure of earthquake size, representing more directly than other parameters the physical size of an earthquake. As early as 1975 it was considered "one of the most reliably determined instrumental earthquake source parameters". Most earthquake magnitude scales suffered from

7440-441: The total population of the province is about 1,113,173 which is mostly tribal and a rural society. The main inhabitants of Takhar province are majority Tajiks and Uzbeks with a sizeable Pashtun minority. Other smaller ethnic groups include Hazaras , Gujars and Balochi . Agriculture and mining are the main industries of the province. Takhar has coal reserves which are being exploited by hand in some villages and sold in

7533-414: The two share many phonological and lexical similarities. Apart from a few basics of vocabulary, there is little difference between formal written Persian of Afghanistan and Iran ; the languages are mutually intelligible. Dari Persian is the official language for approximately 35 million people in Afghanistan and it serves as the common language for inter-ethnic communication in the country. As defined in

7626-576: The vowel diacritic "pesh" ( Kasrah ) was romanized with an "i" for South-Eastern dialects but as an "e" for western dialects. This is presumably due to a difference in quality, however the paper itself did not explain why the vowels were transliterated differently. The South Eastern group (also referred to the Southern and Eastern group) constitutes varieties spoken in and around Kabul , Parwan , Balkh , Baghlan , Samangan , Kunduz , Takhar , Badakhshan and others. A distinctive character of this group

7719-546: The vowel in proximity to, or identically to, [ i ], unless the following syllable contains a high-back vowel. Speakers in western Afghanistan (such as in the Herat or Farah province) and some rural regions in the Kabul province (not the city) most commonly realize the vowel as [ ɛ ]. Additionally, in some varieties of Dari, the phoneme [ ɛ ] appears as an allophone of [a]. Successive governments of Afghanistan have promoted New Persian as an official language of government since

7812-521: The water supply at the Rostaq district 's school for girls was poisoned by unknown insurgents, sickening at least 140 Afghan schoolgirls and teachers ranging in age from 14 to 30, causing them to be hospitalized and some to partially lose consciousness, though there were no deaths as a result of the incident. During the 2021 Taliban offensive, Takhar Province experienced attacks as the withdrawal of US troops took place. In response, Mohibullah Noori emerged as

7905-692: The written forms, other than regional idiomatic phrases. The phonology of Dari Persian as spoken in Kabul, compared with Classical Persian, is overall more conservative than the accent of Iran's standard register. In this regard Dari Persian is more similar to Tajiki Persian. The principal differences between standard Iranian Persian and Afghan Persian as based on the Kabul dialect are: The dialects of Dari spoken in Northern, Central, and Eastern Afghanistan, for example in Kabul , Mazar , and Badakhshan , have distinct features compared to Iranian Persian . However,

7998-400: Was already derived by Hiroo Kanamori and termed it as M w . Eq. (B) was based on large earthquakes; hence, in order to validate Eq. (B) for intermediate and smaller earthquakes, Hanks and Kanamori (1979) compared this Eq. (B) with Eq. (1) of Percaru and Berckhemer (1978) for the magnitude 5.0 ≤  M s  ≤ 7.5 (Hanks and Kanamori 1979). Note that Eq. (1) of Percaru and Berckhemer (1978) for

8091-451: Was by Keiiti Aki for the 1964 Niigata earthquake . He did this two ways. First, he used data from distant stations of the WWSSN to analyze long-period (200 second) seismic waves (wavelength of about 1,000 kilometers) to determine the magnitude of the earthquake's equivalent double couple. Second, he drew upon the work of Burridge and Knopoff on dislocation to determine the amount of slip,

8184-516: Was known about how earthquakes happen, how seismic waves are generated and propagate through the Earth's crust, and what information they carry about the earthquake rupture process; the first magnitude scales were therefore empirical . The initial step in determining earthquake magnitudes empirically came in 1931 when the Japanese seismologist Kiyoo Wadati showed that the maximum amplitude of an earthquake's seismic waves diminished with distance at

8277-580: Was not possible, and understanding what could be learned about the source mechanism from the seismic waves requires an understanding of the source mechanism. Modeling the physical process by which an earthquake generates seismic waves required much theoretical development of dislocation theory , first formulated by the Italian Vito Volterra in 1907, with further developments by E. H. Love in 1927. More generally applied to problems of stress in materials, an extension by F. Nabarro in 1951

8370-593: Was recognized by the Russian geophysicist A. V. Vvedenskaya as applicable to earthquake faulting. In a series of papers starting in 1956 she and other colleagues used dislocation theory to determine part of an earthquake's focal mechanism, and to show that a dislocation – a rupture accompanied by slipping – was indeed equivalent to a double couple. In a pair of papers in 1958, J. A. Steketee worked out how to relate dislocation theory to geophysical features. Numerous other researchers worked out other details, culminating in

8463-703: Was spoken during the rule of the Sassanid dynasty . In general, Iranian languages are known from three periods, usually referred to as Old, Middle, and New (Modern) periods. These correspond to three eras in Iranian history, the old era being the period from some time before, during, and after the Achaemenid period (that is, to 300 BC), the Middle Era being the next period, namely, the Sassanid period and part of

8556-729: Was succeeded by Persian after the arrival of Islam. Dari Persian is one of the two official languages of Afghanistan. In practice though, it serves as the de facto lingua franca among the various ethnolinguistic groups. Dari Persian is spoken by approximately 25-80% of the population of Afghanistan . Tajiks , who comprise 27-39% of the population , are the primary native speakers, followed by Hazaras (9%) and Aymāqs (4%). Moreover, while Pashtuns (48%) natively speak Pashto , those living in Tajik and Hazara dominated areas also use Dari Persian as their main or secondary language. Thus, non-native Persian speaking groups have contributed to

8649-521: Was very similar to a relationship between M L   and M 0   that was reported by Thatcher & Hanks (1973) Hanks & Kanamori (1979) combined their work to define a new magnitude scale based on estimates of seismic moment where M 0 {\displaystyle M_{0}} is defined in newton meters (N·m). Moment magnitude is now the most common measure of earthquake size for medium to large earthquake magnitudes, but in practice, seismic moment (M 0  ),

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